Details

analyze162.0ms (2.2%)

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)

sample1.8s (24.5%)

Results

1.6s	8256×	body	256	valid
194.0ms	1170×	body	256	invalid

Bogosity

preprocess20.0ms (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)

simplify61.0ms (0.8%)

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)

localize24.0ms (0.3%)

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)

series11.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	g	@	-inf	(+.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	@	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)))

rewrite105.0ms (1.4%)

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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simplify273.0ms (3.6%)

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)))

eval129.0ms (1.7%)

Compiler: Compiled 6596 to 4209 computations (36.2% saved)

prune32.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	207	2	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	207	3	210

Error

1.0b

Counts

210 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	2.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))

Status

Error

Program

▶

2.0b

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

✓

1.0b

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

▶

2.0b

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

Compiler

Compiled 48 to 42 computations (12.5% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite100.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`associate-*r/`
890×	`associate-*l/`
732×	`associate-/r*`
600×	`associate-/l*`
594×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	324	75
2	4153	75

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs
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simplify143.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

916×	`associate-/r/`
786×	`associate-/l/`
632×	`associate-r`
632×	`+-commutative`
562×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	13914
1	1085	13172
2	5166	12980

Stop Event

1×	node limit

Counts

214 → 211

Calls

Call 1

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

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

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
✓	1.0b	(cos.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))
	1.0b	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓	1.0b	(cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))

Compiler

Compiled 81 to 45 computations (44.4% saved)

series21.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	g	@	0	(cos.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))
2.0ms	g	@	0	(cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
2.0ms	g	@	-inf	(cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
2.0ms	g	@	inf	(cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
1.0ms	h	@	-inf	(cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))

rewrite86.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`associate-*r/`
636×	`associate-/r*`
530×	`associate-*l/`
496×	`associate-/l*`
408×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	89
1	369	89
2	4101	89

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))

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

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

Outputs

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

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

706×	`*-commutative`
580×	`sqr-pow`
558×	`distribute-lft-in`
550×	`distribute-rgt-in`
548×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	188	5505
1	419	5385
2	1633	5385
3	4343	5385

Stop Event

1×	node limit

Counts

155 → 112

Calls

Call 1

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

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

eval204.0ms (2.7%)

Compiler: Compiled 11657 to 7526 computations (35.4% saved)

prune72.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	360	2	362
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	361	4	365

Error

1.0b

Counts

365 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(.f64 2 (/.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 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))))))))
▶	2.0b	(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))) 3)))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	2.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))

Compiler

Compiled 145 to 107 computations (26.2% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 89 to 52 computations (41.6% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	g	@	-inf	(cbrt.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
1.0ms	g	@	0	(cbrt.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
1.0ms	g	@	inf	(cbrt.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
1.0ms	h	@	inf	(cbrt.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
1.0ms	h	@	0	(cbrt.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))

rewrite89.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`associate-*r/`
850×	`associate-*l/`
740×	`associate-/r*`
600×	`associate-/l*`
544×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	314	58
2	3961	58

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Rules

850×	`associate-/r/`
720×	`associate-/l/`
532×	`distribute-lft-neg-in`
506×	`distribute-rgt-neg-in`
498×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	9552
1	839	9030
2	3977	9018

Stop Event

1×	node limit

Counts

166 → 161

Calls

Call 1

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

Outputs
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) 1/3)
(cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) 1/3)
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(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.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 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.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 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.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 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))

localize173.0ms (2.3%)

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)))
✓	60.3b	(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))))))

Compiler

Compiled 460 to 276 computations (40% saved)

series14.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	g	@	-inf	(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))))))
2.0ms	g	@	inf	(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))))))
2.0ms	g	@	0	(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))))))
1.0ms	h	@	0	(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))))))
1.0ms	h	@	-inf	(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))))))

rewrite130.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`associate-*r/`
718×	`associate-*l/`
658×	`associate-/r*`
514×	`associate-/l*`
422×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	407	61
2	4987	61

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

(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))))))

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

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

Outputs

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

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

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

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1030×	`unswap-sqr`
706×	`+-commutative`
698×	`*-commutative`
634×	`associate--r+`
578×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	5124
1	319	5094
2	1615	5028
3	6593	5028

Stop Event

1×	node limit

Counts

92 → 78

Calls

Call 1

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

eval767.0ms (10.2%)

Compiler: Compiled 34055 to 21983 computations (35.4% saved)

prune103.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	468	3	471
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	469	6	475

Error

0.0b

Counts

475 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.5b	(.f64 2 (/.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 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))))))))
▶	2.0b	(.f64 2 (/.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)))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
▶	1.0b	(.f64 2 (/.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)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	2.0b	(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))) 3)))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	2.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))

Compiler

Compiled 316 to 224 computations (29.1% saved)

localize173.0ms (2.3%)

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)))
✓	61.2b	(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))

Compiler

Compiled 425 to 252 computations (40.7% saved)

series6.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite87.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`associate-*r/`
860×	`associate-*l/`
740×	`associate-/r*`
598×	`associate-/l*`
594×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	324	31
2	4154	31

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (+.f64 (fma.f64 (neg.f64 (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.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 (neg.f64 (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (+.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (*.f64 1 (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))) (*.f64 1 (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 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simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1264×	`associate-r`
1170×	`associate-+l+`
1056×	`associate-/l*`
1010×	`associate-l`
614×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	3484
1	256	3414
2	956	3274
3	4466	3274

Stop Event

1×	node limit

Counts

48 → 52

Calls

Call 1

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

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

localize208.0ms (2.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 2/3 (PI.f64))
	1.6b	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	60.3b	(log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
	61.2b	(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))

Compiler

Compiled 456 to 273 computations (40.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`associate-*r/`
858×	`associate-*l/`
734×	`associate-/r*`
598×	`associate-/l*`
360×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	354	31
2	4346	31

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))

Outputs

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simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1210×	`associate-r`
1090×	`associate-/l*`
960×	`associate-l`
760×	`fma-def`
542×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	126	4333
1	284	3997
2	1085	3997
3	5137	3997

Stop Event

1×	node limit

Counts

73 → 61

Calls

Call 1

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

localize197.0ms (2.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 3)
✓	1.6b	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 3))
	1.6b	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	60.3b	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))

Compiler

Compiled 504 to 312 computations (38.1% saved)

series11.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	g	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
3.0ms	h	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
1.0ms	g	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
1.0ms	h	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
1.0ms	g	@	-inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))

rewrite100.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`associate-*r/`
710×	`associate-*l/`
656×	`associate-/r*`
462×	`add-sqr-sqrt`
446×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	101
1	474	57
2	5509	57

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs

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

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

(pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 3)

Outputs

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

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

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1662×	`associate-+r+`
934×	`unswap-sqr`
848×	`associate-*r/`
710×	`*-commutative`
502×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	5230
1	446	5212
2	1838	5104
3	5678	5104

Stop Event

1×	node limit

Counts

104 → 94

Calls

Call 1

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

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

eval1.0s (13.9%)

Compiler: Compiled 60228 to 38690 computations (35.8% saved)

prune183.0ms (2.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	636	0	636
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	636	6	642

Error

0.0b

Counts

642 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.5b	(.f64 2 (/.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 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	2.0b	(.f64 2 (/.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)))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	1.0b	(.f64 2 (/.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)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	2.0b	(.f64 2 (cos.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))) 3)))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	2.0b	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))

Compiler

Compiled 316 to 224 computations (29.1% saved)

regimes102.0ms (1.4%)

Accuracy

Total -3.5b remaining (-352.4%)

Threshold costs -3.5b (-352.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

9 calls:

55.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
6.0ms	g
6.0ms	(/.f64 (neg.f64 g) h)
6.0ms	(neg.f64 g)
6.0ms	h

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 512 to 346 computations (32.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	86
1	36	86
2	40	86
3	43	86
4	44	86

Stop Event

1×	done
1×	saturated

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

Outputs

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

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

Compiler

Compiled 31 to 27 computations (12.9% saved)

soundness17.0ms (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

Compiler

Compiled 64 to 44 computations (31.3% saved)

end24.0ms (0.3%)

Compiler: Compiled 29 to 23 computations (20.7% saved)

Details

analyze162.0ms (2.2%)

sample1.8s (24.5%)

preprocess20.0ms (0.3%)

simplify61.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.3%)

series11.0ms (0.2%)

rewrite105.0ms (1.4%)

simplify273.0ms (3.6%)

eval129.0ms (1.7%)

prune32.0ms (0.4%)

localize23.0ms (0.3%)

series5.0ms (0.1%)

rewrite100.0ms (1.3%)

simplify143.0ms (1.9%)

localize32.0ms (0.4%)

series21.0ms (0.3%)

rewrite86.0ms (1.1%)

simplify98.0ms (1.3%)

eval204.0ms (2.7%)

prune72.0ms (1%)

localize32.0ms (0.4%)

series9.0ms (0.1%)

rewrite89.0ms (1.2%)

simplify150.0ms (2%)

localize173.0ms (2.3%)

series14.0ms (0.2%)

rewrite130.0ms (1.7%)

simplify92.0ms (1.2%)

eval767.0ms (10.2%)

prune103.0ms (1.4%)

localize173.0ms (2.3%)

series6.0ms (0.1%)

rewrite87.0ms (1.2%)

simplify77.0ms (1%)

localize208.0ms (2.8%)

series2.0ms (0%)

rewrite82.0ms (1.1%)

simplify90.0ms (1.2%)

localize197.0ms (2.6%)

series11.0ms (0.1%)

rewrite100.0ms (1.3%)

simplify97.0ms (1.3%)

eval1.0s (13.9%)

prune183.0ms (2.4%)

regimes102.0ms (1.4%)

simplify5.0ms (0.1%)

soundness17.0ms (0.2%)

end24.0ms (0.3%)

Profiling