Details

analyze104.0ms (3%)

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)

sample1.9s (55.5%)

Results

1.7s	8256×	body	256	valid
209.0ms	1111×	body	256	invalid

Bogosity

preprocess12.0ms (0.3%)

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)

simplify14.0ms (0.4%)

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)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

1.0b

Counts

6 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize24.0ms (0.7%)

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	(+.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)

series7.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

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

rewrite105.0ms (3%)

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))
(+.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 (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 (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64)))) (-.f64 1 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (-.f64 1 (.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (PI.f64) 1/2) 3) (-.f64 (/.f64 (asin.f64 (/.f64 g h)) 3) (.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (/.f64 (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 2) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 2/3 (PI.f64)) (exp.f64 (log1p.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify127.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1672×	`associate-/l*`
778×	`associate-/r*`
578×	`distribute-lft-neg-in`
548×	`distribute-rgt-neg-in`
502×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	11037
1	835	10641
2	3475	10419

Stop Event

1×	node limit

Counts

211 → 209

Calls

Call 1

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

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

localize23.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Compiler

Compiled 60 to 27 computations (55% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	h	@	0	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	g	@	inf	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	g	@	-inf	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	h	@	inf	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite79.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`associate-*r/`
958×	`associate-/r*`
888×	`associate-*l/`
858×	`associate-/l*`
358×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	337	58
2	4230	58

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (.f64 (PI.f64) 2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (PI.f64) 2/3) 1) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 (PI.f64) 2/3) 1)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (-.f64 1 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 6) (-.f64 (/.f64 (asin.f64 (/.f64 g h)) 3) (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (*.f64 (PI.f64) 2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 2/3) 1) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (PI.f64) 2/3) 1)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (-.f64 1 (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 6) (-.f64 (/.f64 (asin.f64 (/.f64 g h)) 3) (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule 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simplify84.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-/l*`
918×	`associate-/r*`
854×	`*-commutative`
778×	`associate-+r+`
708×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	3692
1	318	3626
2	1217	3614
3	3827	3614

Stop Event

1×	node limit

Counts

102 → 76

Calls

Call 1

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

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

eval153.0ms (4.5%)

Compiler: Compiled 8617 to 5487 computations (36.3% saved)

prune76.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	317	1	318
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	317	3	320

Error

1.0b

Counts

320 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	1.9b	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Status

Error

Program

✓

1.0b

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

▶

1.9b

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

✓

1.0b

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

Compiler

Compiled 46 to 40 computations (13% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

series3.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	h	@	0	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
1.0ms	g	@	0	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
0.0ms	g	@	0	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
0.0ms	h	@	0	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
0.0ms	g	@	inf	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))

rewrite149.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`associate-*r/`
866×	`associate-*l/`
738×	`associate-/r*`
598×	`associate-/l*`
588×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	324	84
2	4152	84

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

Inputs
(*.f64 (PI.f64) 2/3)
(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 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 (PI.f64) 2/3))))))) (#(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 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) 2/3)))))))
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simplify155.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-/r/`
788×	`associate-/l/`
674×	`+-commutative`
646×	`associate-r`
610×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	395	14065
1	1123	13239
2	5356	13239

Stop Event

1×	node limit

Counts

227 → 223

Calls

Call 1

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

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

eval195.0ms (5.7%)

Compiler: Compiled 8381 to 5332 computations (36.4% saved)

prune33.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	223	3	226

Error

1.0b

Counts

226 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

1.0b

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

✓

1.9b

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

✓

1.0b

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

Compiler

Compiled 46 to 40 computations (13% saved)

regimes30.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

9 calls:

6.0ms	(/.f64 (neg.f64 g) h)
4.0ms	h
4.0ms	(neg.f64 g)
4.0ms	g
2.0ms	(.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 139 to 107 computations (23% saved)

regimes43.0ms (1.2%)

Accuracy

Total -0.9b remaining (-96.5%)

Threshold costs -0.9b (-96.5%)

Counts

3 → 1

Calls

Call 1

Inputs

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

(*.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))))

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

Calls

9 calls:

20.0ms	(/.f64 (neg.f64 g) h)
4.0ms	h
3.0ms	g
3.0ms	(neg.f64 g)
2.0ms	(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 126 to 100 computations (20.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	127
1	43	127
2	47	127
3	50	127
4	51	127

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

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

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

Compiler

Compiled 46 to 40 computations (13% saved)

soundness50.0ms (1.4%)

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

Compiler

Compiled 94 to 62 computations (34% saved)

end29.0ms (0.8%)

Compiler: Compiled 42 to 30 computations (28.6% saved)

Details

analyze104.0ms (3%)

sample1.9s (55.5%)

preprocess12.0ms (0.3%)

simplify14.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize24.0ms (0.7%)

series7.0ms (0.2%)

rewrite105.0ms (3%)

simplify127.0ms (3.7%)

localize23.0ms (0.7%)

series3.0ms (0.1%)

rewrite79.0ms (2.3%)

simplify84.0ms (2.4%)

eval153.0ms (4.5%)

prune76.0ms (2.2%)

localize22.0ms (0.6%)

series3.0ms (0.1%)

rewrite149.0ms (4.3%)

simplify155.0ms (4.5%)

eval195.0ms (5.7%)

prune33.0ms (1%)

regimes30.0ms (0.9%)

regimes43.0ms (1.2%)

simplify6.0ms (0.2%)

soundness50.0ms (1.4%)

end29.0ms (0.8%)

Profiling