Details

analyze102.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
26.7%	25%	68.7%	0.1%	0%	6.2%	0%	5
27.6%	25%	65.6%	0.1%	0%	9.4%	0%	6
49%	37.5%	39%	0.1%	0%	23.4%	0%	7
50.5%	37.5%	36.7%	0.1%	0%	25.8%	0%	8
67.9%	43.7%	20.7%	0.1%	0%	35.5%	0%	9
69.3%	43.7%	19.3%	0.1%	0%	36.9%	0%	10
81.5%	46.8%	10.6%	0.1%	0%	42.4%	0%	11
82.5%	46.8%	9.9%	0.1%	0%	43.2%	0%	12

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.6s (16.8%)

Results

1.4s	8256×	body	256	valid
151.0ms	1094×	body	256	invalid

Bogosity

preprocess12.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

32×	`fma-def`
32×	`+-commutative`
28×	`associate-+l-`
24×	`*-commutative`
20×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	42	90
2	62	82
3	81	82
4	95	82
5	114	82
6	142	82
7	192	82
8	194	82
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))

Outputs
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))

Compiler

Compiled 20 to 18 computations (10% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def`
14×	`*-commutative`
14×	`associate-+l-`
14×	`+-commutative`
8×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	29	45
2	43	41
3	54	41
4	61	41
5	71	41
6	85	41
7	109	41

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Outputs
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

eval1.0ms (0%)

Compiler: Compiled 74 to 48 computations (35.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

1.0b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 66 to 32 computations (51.5% saved)

series40.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
34.0ms	g	@	0	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	h	@	-inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	-inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	h	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite155.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`associate-*r/`
1260×	`associate-*l/`
374×	`add-sqr-sqrt`
356×	`pow1`
356×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	96
1	356	84
2	4758	84

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

Inputs
(*.f64 2/3 (PI.f64))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/3 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2/3 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (+.f64 (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (neg.f64 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g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (-.f64 1 (fma.f64 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simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1668×	`associate-/l*`
770×	`associate-/r*`
562×	`distribute-lft-neg-in`
520×	`distribute-rgt-neg-in`
498×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	11999
1	844	11719
2	3514	11349

Stop Event

1×	node limit

Counts

211 → 202

Calls

Call 1

Inputs
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (cbrt.f64 (-.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))) (cbrt.f64 (-.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (cbrt.f64 (+.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)))) (cbrt.f64 (+.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (.f64 (-.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) 1) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (.f64 (+.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)) 1) (+.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) 1) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) 1) (neg.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) 1) (neg.f64 (+.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (sqrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sqrt.f64 (-.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) (sqrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sqrt.f64 (+.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (-.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (+.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (.f64 4/9 (pow.f64 (PI.f64) 2))) (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 1 (-.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) 3)) (/.f64 1 (+.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))) (+.f64 (.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 8/27 (pow.f64 (PI.f64) 3))) (-.f64 (.f64 (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)) (.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)))))
(pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (log.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (sqrt.f64 (.f64 2/3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) (cbrt.f64 (.f64 2/3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 2/3 (PI.f64)))

Outputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(sqrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(fabs.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(log.f64 (exp.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (sqrt.f64 (.f64 2/3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) (cbrt.f64 (.f64 2/3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))

eval189.0ms (2%)

Compiler: Compiled 7077 to 4253 computations (39.9% saved)

prune43.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	195	7	202
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	195	8	203

Error

1.0b

Counts

203 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
	1.6b	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
▶	1.0b	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
▶	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
▶	1.0b	(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
	1.0b	(.f64 2 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	1.0b	(.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))

Compiler

Compiled 674 to 476 computations (29.4% saved)

localize260.0ms (2.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(sin.f64 (*.f64 2/3 (PI.f64)))
	1.0b	(*.f64 2/3 (PI.f64))
✓	1.6b	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	60.6b	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))

Compiler

Compiled 488 to 277 computations (43.2% saved)

series12.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	h	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
3.0ms	g	@	-inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
2.0ms	g	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
1.0ms	h	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
1.0ms	g	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`associate-*r/`
880×	`associate-/r*`
698×	`associate-*l/`
448×	`add-sqr-sqrt`
434×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	113
1	432	61
2	5462	61

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(sin.f64 (*.f64 2/3 (PI.f64)))

Inputs

(fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))

(cos.f64 (*.f64 2/3 (PI.f64)))

(sin.f64 (*.f64 2/3 (PI.f64)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 1) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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h)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 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Outputs

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simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1092×	`unswap-sqr`
712×	`*-commutative`
702×	`+-commutative`
688×	`distribute-lft-in`
672×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	6464
1	342	6434
2	1676	6356
3	6910	6356

Stop Event

1×	node limit

Counts

92 → 81

Calls

Call 1

Inputs
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(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))))
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(pow.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))

Outputs
(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
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(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
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(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))) 1))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64))))) 1)
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 (cos.f64 (.f64 2/3 (PI.f64))) 1)
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 1 (cos.f64 (.f64 2/3 (PI.f64))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 (sqrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 (cbrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2))
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 1)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 3)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(cos.f64 (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 2))
(cos.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64))))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3))
(cos.f64 (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 2/3 (PI.f64)))) 1))
(cos.f64 (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) 1)
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 (sin.f64 (.f64 2/3 (PI.f64))) 1)
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 1 (sin.f64 (.f64 2/3 (PI.f64))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 (sqrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 (cbrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2))
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 1)
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2)
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 3)
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(sin.f64 (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2))
(sin.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3))
(sin.f64 (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 2/3 (PI.f64)))) 1))
(sin.f64 (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
	1.0b	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 95 to 49 computations (48.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	g	@	0	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
0.0ms	h	@	0	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
0.0ms	g	@	inf	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
0.0ms	h	@	inf	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
0.0ms	g	@	-inf	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`associate-*l/`
1110×	`associate-/r*`
1082×	`associate-/l*`
394×	`add-sqr-sqrt`
376×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	35
1	393	31
2	4986	31

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))

Outputs

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simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1546×	`distribute-lft-in`
1184×	`associate-+r+`
1106×	`associate-r`
1100×	`associate-/l*`
876×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	4280
1	240	4178
2	903	3916
3	4068	3916

Stop Event

1×	node limit

Counts

58 → 59

Calls

Call 1

Inputs
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(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))

Outputs
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) (+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (.f64 (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64))))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64))))))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64))))))
(/.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (/.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))))))
(.f64 (/.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (/.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) (.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
✓	1.0b	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
	1.0b	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 98 to 52 computations (46.9% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	h	@	-inf	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
1.0ms	h	@	inf	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
1.0ms	g	@	0	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
1.0ms	g	@	-inf	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
1.0ms	g	@	inf	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`associate-*l/`
1106×	`associate-/r*`
1082×	`associate-/l*`
396×	`add-sqr-sqrt`
376×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	400	68
2	5074	68

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)

Outputs

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simplify134.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate-/r/`
932×	`unswap-sqr`
720×	`+-commutative`
584×	`*-commutative`
582×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	7350
1	384	7088
2	1480	6826
3	5951	6826

Stop Event

1×	node limit

Counts

112 → 98

Calls

Call 1

Inputs
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(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/3))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) 1)
(.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1)
(.f64 1 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3/2) (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3/2))
(.f64 (sqrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (sqrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
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(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) 3) (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
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(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
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Outputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (.f64 (/.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (/.f64 (+.f64 (fma.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(/.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (/.f64 (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (.f64 2/3 (PI.f64)))) (.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3))))
(.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (-.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(/.f64 (+.f64 (cos.f64 (*.f64 2 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 0)) (/.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))) 2) (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (/.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (+.f64 1 (cos.f64 (fma.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2 (.f64 (PI.f64) 4/3)))))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 6))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 3))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(exp.f64 (.f64 3 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓	1.0b	(cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 98 to 52 computations (46.9% saved)

series21.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	g	@	inf	(cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
4.0ms	h	@	-inf	(cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
3.0ms	g	@	0	(cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
2.0ms	g	@	-inf	(cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
2.0ms	h	@	inf	(cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`associate-*r/`
1310×	`associate-*l/`
384×	`add-sqr-sqrt`
364×	`*-un-lft-identity`
362×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	70
1	393	62
2	4942	62

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64))) 1/6) (pow.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 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simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1752×	`distribute-rgt-in`
1722×	`distribute-lft-in`
1486×	`associate-r`
1120×	`associate-l`
856×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	4474
1	320	4314
2	931	4298
3	4059	4298

Stop Event

1×	node limit

Counts

98 → 72

Calls

Call 1

Inputs
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(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
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(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
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(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
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(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
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(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1/3)
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (cos.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))))
(.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 1)
(.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 (sqrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) (sqrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
(.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) 2) (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
(pow.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) 3)
(pow.f64 (pow.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 2))
(log.f64 (exp.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))))
(cbrt.f64 (pow.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
(exp.f64 (log.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
(exp.f64 (.f64 (log.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1)
(.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(.f64 1 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (.f64 2/3 (PI.f64))) 1/6) (pow.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64))) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (.f64 2/3 (PI.f64)))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64)))) 1/3))
(/.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9))) (cbrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 1 (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))))
(/.f64 (.f64 1 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9)))) (cbrt.f64 (-.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9)))) (cbrt.f64 (-.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) 1) (cbrt.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9))) 1) (cbrt.f64 (-.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(pow.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64))) 1/3)
(pow.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(exp.f64 (.f64 (log.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (.f64 2/3 (PI.f64)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))

Outputs
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))))
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(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2) -1/9))) (cbrt.f64 (-.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) -1/9))) (cbrt.f64 (-.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(pow.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cbrt.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(pow.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64))) 1/6) 2)
(cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cbrt.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(exp.f64 (.f64 (log.f64 (fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (.f64 2/3 (PI.f64)))) 1/3))
(cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cbrt.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
	1.0b	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓	1.0b	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 97 to 51 computations (47.4% saved)

series13.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	h	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
2.0ms	h	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
2.0ms	g	@	0	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
2.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
2.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`associate-*r/`
1298×	`associate-*l/`
396×	`add-sqr-sqrt`
376×	`*-un-lft-identity`
374×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	35
1	400	31
2	5074	31

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)

Outputs

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simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-+l+`
804×	`distribute-lft-in`
792×	`*-commutative`
766×	`associate-/l*`
690×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	4531
1	303	4175
2	1074	4047
3	3111	4047

Stop Event

1×	node limit

Counts

65 → 55

Calls

Call 1

Inputs
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
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(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
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(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
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(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 1)
(.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 1/6) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) 1) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 2) 3) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))) (+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) (+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 1) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 3))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))

Outputs
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (+.f64 (fma.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 2))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3) 3))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)) 1))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))))

eval1.1s (11.5%)

Compiler: Compiled 51394 to 31101 computations (39.5% saved)

prune191.0ms (2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	875	6	881
Fresh	1	1	2
Picked	0	1	1
Done	1	4	5
Total	877	12	889

Error

Counts

889 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
▶	1.0b	(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
▶	0.0b	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
	0.0b	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
	1.0b	(.f64 2 (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
▶	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))))))
✓	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
▶	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))))
✓	1.0b	(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
▶	1.0b	(.f64 2 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.0b	(.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))

Compiler

Compiled 739 to 545 computations (26.3% saved)

localize199.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sin.f64 (*.f64 2/3 (PI.f64)))
	1.0b	(*.f64 2/3 (PI.f64))
	1.6b	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	60.6b	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))

Compiler

Compiled 507 to 294 computations (42% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	g	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
0.0ms	h	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
0.0ms	g	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
0.0ms	g	@	-inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
0.0ms	h	@	-inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`associate-*r/`
750×	`associate-*l/`
468×	`add-sqr-sqrt`
454×	`*-un-lft-identity`
452×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	87
1	470	35
2	5692	35

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs

(fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (*.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))) 1) (*.f64 (cos.f64 (*.f64 2/3 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simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1402×	`distribute-lft-in`
1292×	`distribute-rgt-in`
1072×	`associate-/l*`
946×	`associate-/r*`
648×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	6268
1	246	6250
2	881	6136
3	2706	6136

Stop Event

1×	node limit

Counts

56 → 49

Calls

Call 1

Inputs
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(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))))
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(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))) 1))
(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))) (-.f64 1 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))))))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) 1) (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))) 1)
(.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) 1)
(.f64 1 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))) (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) 2)) (cbrt.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))))) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 2)) (-.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) 3)) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 2) (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))))) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 2))) (-.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) 3))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 2) (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))))) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 2)) 1) (-.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) 3)) 1) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 2) (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))))
(pow.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) 3))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))

Outputs
(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
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(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))) 1))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))

localize53.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	1.0b	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))))
✓	1.0b	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 128 to 72 computations (43.8% saved)

series33.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	h	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))
5.0ms	h	@	-inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))
4.0ms	g	@	0	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))
4.0ms	g	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))
3.0ms	h	@	0	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`associate-*l/`
1168×	`associate-/r*`
416×	`add-sqr-sqrt`
396×	`*-un-lft-identity`
392×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	95
1	436	83
2	5344	83

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs

(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))

(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))))

(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Outputs

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3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))

simplify147.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-/r/`
1196×	`associate-*r/`
1014×	`associate-/l/`
796×	`associate-*l/`
570×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	10571
1	443	10367
2	1506	9841
3	4716	9841

Stop Event

1×	node limit

Counts

179 → 115

Calls

Call 1

Inputs
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(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
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(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
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(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
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(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
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(pow.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Outputs
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
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(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
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(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
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(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
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(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
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(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
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(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
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(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
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(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
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(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
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(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h)))))))
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(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (acos.f64 (.f64 -1 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))) 3) 1/3)
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))) 2))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))) 3))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))) 1))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)) (neg.f64 (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 (neg.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1)
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 1 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(.f64 (pow.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1/6) (pow.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1/6))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 1/3))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 1 (cbrt.f64 3)))
(/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 3))
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (pow.f64 1/3 1/3))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 1 (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 1 (/.f64 (cbrt.f64 3) (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 3))
(/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 3))
(/.f64 (cbrt.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (cbrt.f64 -3))
(/.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (neg.f64 (cbrt.f64 3)))
(/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 3))
(/.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 1) (cbrt.f64 3))
(/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 3))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) 1) (cbrt.f64 -3))
(/.f64 (cbrt.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (cbrt.f64 -3))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) 1) (neg.f64 (cbrt.f64 3)))
(/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (pow.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1/6)) (sqrt.f64 (cbrt.f64 3)))
(/.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (sqrt.f64 (cbrt.f64 3)) (pow.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)))
(.f64 (/.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (sqrt.f64 (cbrt.f64 3))) (pow.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))
(.f64 (pow.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))) 1/6) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6) (sqrt.f64 (cbrt.f64 3))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (cbrt.f64 3)))
(/.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (cbrt.f64 (cbrt.f64 3)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (cbrt.f64 (cbrt.f64 3))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 2) (/.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (cbrt.f64 (cbrt.f64 3))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) 1/3)) (cbrt.f64 (cbrt.f64 3)))
(/.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (/.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (cbrt.f64 (cbrt.f64 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2)) (/.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (cbrt.f64 (cbrt.f64 3))))
(/.f64 (/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 1) (cbrt.f64 3))
(/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 3))
(/.f64 (/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (sqrt.f64 (cbrt.f64 3))) (sqrt.f64 (cbrt.f64 3)))
(/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 3))
(/.f64 (/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3)))) (cbrt.f64 (cbrt.f64 3)))
(/.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (cbrt.f64 3))
(pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(pow.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1/3)
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(pow.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1/6) 2)
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)) 1/3))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))

localize57.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓	1.0b	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 116 to 68 computations (41.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	g	@	0	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
0.0ms	h	@	-inf	(cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
0.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
0.0ms	h	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)

rewrite105.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`associate-*l/`
1116×	`associate-/r*`
414×	`add-sqr-sqrt`
394×	`*-un-lft-identity`
390×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	78
1	436	62
2	5299	62

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)

(cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Outputs

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simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-+l+`
868×	`distribute-lft-in`
838×	`*-commutative`
816×	`associate-/l*`
752×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	9014
1	376	8390
2	1272	8134
3	3554	8134

Stop Event

1×	node limit

Counts

130 → 85

Calls

Call 1

Inputs
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(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
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(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
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(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
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(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
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(-.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))
(.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(.f64 1 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (sqrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sqrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1/6) (.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1/6) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) 1) (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1/6)) (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1/6) 3) (pow.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 2) 3) (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (+.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) (+.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) 3/2)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (log.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))

Outputs
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (pow.f64 1 1/3))
(.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))) 1)
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) (+.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (.f64 (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64))))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64))))))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64))))))
(/.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (/.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))))) (/.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) (.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) 3/2)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (exp.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (log.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(fma.f64 (cos.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (.f64 (sin.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (.f64 2/3 (PI.f64)))))

localize63.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	1.0b	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))))
✓	1.0b	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 144 to 83 computations (42.4% saved)

series127.0ms (1.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
41.0ms	g	@	-inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))
35.0ms	g	@	0	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))
15.0ms	g	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))
13.0ms	h	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))
13.0ms	h	@	-inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`associate-/r*`
452×	`add-sqr-sqrt`
434×	`*-un-lft-identity`
430×	`pow1`
420×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	95
1	474	83
2	5836	83

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))

(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))))

(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Outputs

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simplify133.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1362×	`distribute-lft-in`
1076×	`distribute-rgt-in`
820×	`*-commutative`
730×	`fma-def`
646×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	10402
1	344	9002
2	1299	8690
3	4098	8690

Stop Event

1×	node limit

Counts

166 → 93

Calls

Call 1

Inputs
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(.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))) (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))))))
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))))
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(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))))
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(exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))) 1))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)) (neg.f64 (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)))))
(+.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 0)
(+.f64 0 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3))) 2)))
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(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1)
(*.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(*.f64 1 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)) (cbrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(log.f64 (+.f64 1 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
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Outputs
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(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)) (cbrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)))
(pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3) 1/3)
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(log.f64 (+.f64 1 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)))
(log1p.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))
✓	1.0b	(pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)
	1.0b	(*.f64 2/3 (PI.f64))
✓	1.0b	(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))

Compiler

Compiled 158 to 87 computations (44.9% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	h	@	inf	(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))
2.0ms	g	@	0	(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))
1.0ms	g	@	inf	(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))
1.0ms	g	@	-inf	(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))
1.0ms	h	@	-inf	(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))

rewrite116.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`add-sqr-sqrt`
504×	`*-un-lft-identity`
500×	`pow1`
494×	`add-exp-log`
492×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	153
1	520	81
2	7180	81

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))

(pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)

(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))

Outputs

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simplify129.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-/r*`
750×	`*-commutative`
720×	`associate-+l+`
686×	`associate-+r+`
656×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	11809
1	817	11581
2	3294	11473

Stop Event

1×	node limit

Counts

213 → 197

Calls

Call 1

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

Outputs
(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
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(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
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(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(-.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
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(.f64 1/9 (pow.f64 (acos.f64 (.f64 -1 (/.f64 g h))) 2))
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(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))) 2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))) 2))
(fabs.f64 (cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fabs.f64 (cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(log.f64 (exp.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))) 3))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (log.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (.f64 (log.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))) 1))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

eval827.0ms (8.8%)

Compiler: Compiled 52837 to 32842 computations (37.8% saved)

prune201.0ms (2.1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	855	1	856
Fresh	1	1	2
Picked	0	1	1
Done	1	8	9
Total	857	11	868

Error

Counts

868 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
✓	1.0b	(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
▶	1.0b	(.f64 2 (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
▶	0.1b	(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))))
✓	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))))))
✓	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
✓	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))))
✓	1.0b	(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
✓	1.0b	(.f64 2 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.0b	(.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))

Compiler

Compiled 286 to 234 computations (18.2% saved)

localize107.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64)))))
	1.0b	(pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)
	1.0b	(*.f64 2/3 (PI.f64))
	1.0b	(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))

Compiler

Compiled 342 to 199 computations (41.8% saved)

localize57.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
	1.0b	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
	1.0b	(*.f64 2/3 (PI.f64))

Compiler

Compiled 158 to 88 computations (44.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	g	@	0	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
0.0ms	g	@	inf	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
0.0ms	h	@	inf	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
0.0ms	g	@	-inf	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
0.0ms	h	@	-inf	(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`associate-*l/`
1100×	`associate-/r*`
410×	`add-sqr-sqrt`
390×	`*-un-lft-identity`
388×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	399	37
2	5158	37

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)

Outputs

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1860×	`unswap-sqr`
1126×	`fma-def`
672×	`associate-r`
656×	`associate-/l*`
642×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	2716
1	232	2716
2	675	2692
3	2452	2508

Stop Event

1×	node limit

Counts

48 → 38

Calls

Call 1

Inputs
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(+.f64 (.f64 1/2 (cos.f64 (.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))) 1)
(.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1)
(.f64 1 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(.f64 (sqrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (sqrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (-.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 2)
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (-.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) 2)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))

Outputs
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2)
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (/.f64 (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))) (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(.f64 (/.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 (/.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64)))))))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (-.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) 2)
(fma.f64 1/2 (cos.f64 (*.f64 2 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1/2)
(fma.f64 1/2 (cos.f64 (fma.f64 (PI.f64) 4/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3/2))) 1/2)
(fma.f64 1/2 (cos.f64 (fma.f64 (PI.f64) 4/3 (*.f64 2/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 1/2)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 3))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(exp.f64 (log.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) 1))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)

eval653.0ms (6.9%)

Compiler: Compiled 44094 to 27528 computations (37.6% saved)

prune172.0ms (1.8%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	666	0	666
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	666	11	677

Error

Counts

677 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
✓	1.0b	(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
✓	1.0b	(.f64 2 (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
✓	0.1b	(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))))
✓	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))))))
✓	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
✓	1.0b	(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))))
✓	1.0b	(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
✓	1.0b	(.f64 2 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.0b	(.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))

Compiler

Compiled 286 to 234 computations (18.2% saved)

regimes61.0ms (0.7%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))))))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))))
(.f64 2 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(.f64 2 (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))

Outputs

(*.f64 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))

Calls

9 calls:

9.0ms	(neg.f64 g)
9.0ms	h
8.0ms	g
7.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Results

Error	Segments	Branch
0.0b	1	`g`
0.0b	1	`h`
0.0b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
0.0b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
0.0b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
0.0b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.0b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.0b	1	`(/.f64 (neg.f64 g) h)`
0.0b	1	`(neg.f64 g)`

Compiler

Compiled 771 to 490 computations (36.4% saved)

regimes55.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))))))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))))
(.f64 2 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(.f64 2 (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))

Outputs

(*.f64 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))

Calls

9 calls:

8.0ms	(neg.f64 g)
8.0ms	h
8.0ms	g
7.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Results

Error	Segments	Branch
0.0b	1	`g`
0.0b	1	`h`
0.0b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
0.0b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
0.0b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
0.0b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.0b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.0b	1	`(/.f64 (neg.f64 g) h)`
0.0b	1	`(neg.f64 g)`

Compiler

Compiled 551 to 360 computations (34.7% saved)

regimes50.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))))))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))))
(.f64 2 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(.f64 2 (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))))

Outputs

(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))))

Calls

9 calls:

8.0ms	h
7.0ms	(neg.f64 g)
7.0ms	g
6.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Results

Error	Segments	Branch
0.1b	1	`g`
0.1b	1	`h`
0.1b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
0.1b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
0.1b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
0.1b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.1b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.1b	1	`(/.f64 (neg.f64 g) h)`
0.1b	1	`(neg.f64 g)`

Compiler

Compiled 363 to 250 computations (31.1% saved)

regimes45.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))))))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))))
(.f64 2 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(.f64 2 (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))

Outputs

(*.f64 2 (*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))

Calls

9 calls:

8.0ms	(neg.f64 g)
6.0ms	h
6.0ms	g
5.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Results

Error	Segments	Branch
1.0b	1	`g`
1.0b	1	`h`
1.0b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
1.0b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
1.0b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
1.0b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
1.0b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
1.0b	1	`(/.f64 (neg.f64 g) h)`
1.0b	1	`(neg.f64 g)`

Compiler

Compiled 300 to 211 computations (29.7% saved)

regimes42.0ms (0.4%)

Accuracy

Total -0.1b remaining (-6.5%)

Threshold costs -0.1b (-6.5%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))))))
(.f64 2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3))
(.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))))
(.f64 2 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))

Outputs
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Calls

9 calls:

7.0ms	g
6.0ms	h
6.0ms	(neg.f64 g)
5.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Results

Error	Segments	Branch
1.0b	1	`g`
1.0b	1	`h`
1.0b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
1.0b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
1.0b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
1.0b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
1.0b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
1.0b	1	`(/.f64 (neg.f64 g) h)`
1.0b	1	`(neg.f64 g)`

Compiler

Compiled 268 to 191 computations (28.7% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative`
28×	`+-commutative`
16×	`sub-neg`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	4294968189
1	101	4294968189
2	124	4294968189
3	137	4294968189
4	145	4294968189
5	147	4294968189

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))))
(.f64 2 (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Outputs
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (expm1.f64 (log1p.f64 (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 2/3 (PI.f64))))))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 -4/9 (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 -2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 -4/9 (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 -2/3 (PI.f64))))))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 (pow.f64 (PI.f64) 2) -4/9)) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 (PI.f64) -2/3)))) 2)) (cbrt.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (.f64 (pow.f64 (PI.f64) 2) -4/9)) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 (PI.f64) -2/3)))))))
(.f64 2 (.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 309 to 209 computations (32.4% saved)

soundness99.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1668×	`associate-/l*`
770×	`associate-/r*`
562×	`distribute-lft-neg-in`
520×	`distribute-rgt-neg-in`
498×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	29	45
2	43	41
3	54	41
4	61	41
5	71	41
6	85	41
7	109	41
0	338	11999
1	844	11719
2	3514	11349

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 183 to 119 computations (35% saved)

end123.0ms (1.3%)

Compiler: Compiled 301 to 185 computations (38.5% saved)

Details

analyze102.0ms (1.1%)

sample1.6s (16.8%)

preprocess12.0ms (0.1%)

simplify15.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize27.0ms (0.3%)

series40.0ms (0.4%)

rewrite155.0ms (1.6%)

simplify130.0ms (1.4%)

eval189.0ms (2%)

prune43.0ms (0.5%)

localize260.0ms (2.8%)

series12.0ms (0.1%)

rewrite93.0ms (1%)

simplify112.0ms (1.2%)

localize39.0ms (0.4%)

series1.0ms (0%)

rewrite89.0ms (0.9%)

simplify95.0ms (1%)

localize37.0ms (0.4%)

series5.0ms (0%)

rewrite95.0ms (1%)

simplify134.0ms (1.4%)

localize39.0ms (0.4%)

series21.0ms (0.2%)

rewrite84.0ms (0.9%)

simplify89.0ms (0.9%)

localize36.0ms (0.4%)

series13.0ms (0.1%)

rewrite87.0ms (0.9%)

simplify92.0ms (1%)

eval1.1s (11.5%)

prune191.0ms (2%)

localize199.0ms (2.1%)

series1.0ms (0%)

rewrite92.0ms (1%)

simplify93.0ms (1%)

localize53.0ms (0.6%)

series33.0ms (0.3%)

rewrite109.0ms (1.2%)

simplify147.0ms (1.6%)

localize57.0ms (0.6%)

series2.0ms (0%)

rewrite105.0ms (1.1%)

simplify124.0ms (1.3%)

localize63.0ms (0.7%)

series127.0ms (1.3%)

rewrite117.0ms (1.2%)

simplify133.0ms (1.4%)

localize52.0ms (0.6%)

series10.0ms (0.1%)

rewrite116.0ms (1.2%)

simplify129.0ms (1.4%)

eval827.0ms (8.8%)

prune201.0ms (2.1%)

localize107.0ms (1.1%)

localize57.0ms (0.6%)

series2.0ms (0%)

rewrite79.0ms (0.8%)

simplify66.0ms (0.7%)

eval653.0ms (6.9%)

prune172.0ms (1.8%)

regimes61.0ms (0.7%)

regimes55.0ms (0.6%)

regimes50.0ms (0.5%)

regimes45.0ms (0.5%)

regimes42.0ms (0.4%)

simplify21.0ms (0.2%)

soundness99.0ms (1%)

end123.0ms (1.3%)

Profiling