Details

analyze104.0ms (1.4%)

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)

sample1.5s (20.2%)

Results

1.3s	8256×	body	256	valid
169.0ms	1123×	body	256	invalid

Bogosity

preprocess19.0ms (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)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

98.5%

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize24.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓	98.5%	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	98.5%	(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	98.4%	(*.f64 2/3 (PI.f64))

Compiler

Compiled 66 to 32 computations (51.5% saved)

series8.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite103.0ms (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))
(/.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)))

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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simplify126.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1670×	`associate-/l*`
778×	`associate-/r*`
580×	`distribute-lft-neg-in`
546×	`distribute-rgt-neg-in`
498×	`+-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 → 207

Calls

Call 1

Inputs
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(.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))))
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(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
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Outputs
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(/.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 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)))))
(-.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 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))))))

localize23.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	98.5%	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
	98.5%	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 60 to 27 computations (55% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

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simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

102 → 76

Calls

Call 1

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

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

eval145.0ms (2%)

Compiler: Compiled 8496 to 5411 computations (36.3% saved)

prune49.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	314	2	316
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	314	4	318

Accurracy

98.5%

Counts

318 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	95.2%	(.f64 2 (cos.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (exp.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))) 1)))
▶	96.6%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 65 to 57 computations (12.3% saved)

localize23.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
✓	98.5%	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓	98.5%	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
✓	98.4%	(*.f64 (PI.f64) 2/3)

Compiler

Compiled 58 to 31 computations (46.6% saved)

series3.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite108.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4/9 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) 2/3)))))))
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simplify154.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-/r/`
788×	`associate-/l/`
678×	`+-commutative`
650×	`associate-r`
612×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	395	14065
1	1123	13239
2	5359	13239

Stop Event

1×	node limit

Counts

227 → 224

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))))
(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))))
(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 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)))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 8/27 (pow.f64 (PI.f64) 3)))) (/.f64 1 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (-.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (.f64 8/27 (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3) (pow.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (+.f64 (.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (-.f64 (.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 8/27 (pow.f64 (PI.f64) 3))) (.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (*.f64 8/27 (pow.f64 (PI.f64) 3))))))
(/.f64 (/.f64 (-.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 4/9 (pow.f64 (PI.f64) 2))) 1) (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 -2/3 (PI.f64))))
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(/.f64 (/.f64 (-.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 4/9 (pow.f64 (PI.f64) 2))) (.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)))))
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(/.f64 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (.f64 8/27 (pow.f64 (PI.f64) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
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(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
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(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3))
(fma.f64 1 (.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 (PI.f64) 2/3))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) (sqrt.f64 (.f64 (PI.f64) 2/3)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 2) (cbrt.f64 (.f64 (PI.f64) 2/3)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
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Outputs
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 2/3))) 1)
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(pow.f64 (*.f64 (PI.f64) 2/3) 1)
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(/.f64 (/.f64 (fma.f64 1/729 (pow.f64 (acos.f64 (/.f64 g h)) 6) (.f64 -64/729 (pow.f64 (PI.f64) 6))) (fma.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3) (.f64 (pow.f64 (PI.f64) 3) -8/27))) (fma.f64 (.f64 2/3 (PI.f64)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3) (pow.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (+.f64 (.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (-.f64 (.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 8/27 (pow.f64 (PI.f64) 3))) (.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (*.f64 8/27 (pow.f64 (PI.f64) 3))))))
(/.f64 (/.f64 (+.f64 (.f64 1/19683 (pow.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 3)) (.f64 512/19683 (pow.f64 (pow.f64 (PI.f64) 3) 3))) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (.f64 (PI.f64) (.f64 2/3 (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))))) (+.f64 (.f64 1/729 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) (pow.f64 (acos.f64 (/.f64 g h)) 3))) (.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (-.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))))))
(/.f64 (/.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 3) (.f64 512/19683 (pow.f64 (pow.f64 (PI.f64) 3) 3))) (-.f64 (fma.f64 1/729 (pow.f64 (acos.f64 (/.f64 g h)) 6) (.f64 64/729 (pow.f64 (PI.f64) 6))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 8/729)))) (fma.f64 (.f64 2/3 (PI.f64)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))))
(/.f64 (/.f64 (-.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 4/9 (pow.f64 (PI.f64) 2))) 1) (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 -2/3 (PI.f64))))
(/.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 -4/9 (pow.f64 (PI.f64) 2))) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) -2/3)))
(/.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)))
(/.f64 (/.f64 (-.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 4/9 (pow.f64 (PI.f64) 2))) (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 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 -4/9 (pow.f64 (PI.f64) 2))) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) -2/3)))
(/.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)))
(/.f64 (/.f64 (-.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 4/9 (pow.f64 (PI.f64) 2))) (.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 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 -4/9 (pow.f64 (PI.f64) 2))) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) -2/3)))
(/.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)))
(/.f64 (/.f64 (-.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 4/9 (pow.f64 (PI.f64) 2))) (+.f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (-.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (.f64 (PI.f64) 2/3))))
(/.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 -4/9 (pow.f64 (PI.f64) 2))) (.f64 (-.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sqrt.f64 (.f64 2/3 (PI.f64)))) (+.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (sqrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(/.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (.f64 (pow.f64 (PI.f64) 2) -4/9)) (.f64 (+.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sqrt.f64 (.f64 2/3 (PI.f64)))) (-.f64 (sqrt.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sqrt.f64 (.f64 2/3 (PI.f64))))))
(/.f64 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (.f64 8/27 (pow.f64 (PI.f64) 3))) 1) (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (fma.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3) (.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (.f64 (PI.f64) (.f64 2/3 (-.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))))))
(/.f64 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (fma.f64 (.f64 2/3 (PI.f64)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))))
(/.f64 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (.f64 8/27 (pow.f64 (PI.f64) 3))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3) (.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (.f64 (PI.f64) (.f64 2/3 (-.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))))))
(/.f64 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (fma.f64 (.f64 2/3 (PI.f64)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))))
(/.f64 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (.f64 8/27 (pow.f64 (PI.f64) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (.f64 (.f64 (PI.f64) 2/3) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3) (.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (.f64 (PI.f64) (.f64 2/3 (-.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))))))
(/.f64 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (fma.f64 (.f64 2/3 (PI.f64)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))))
(pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 2))
(fabs.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (PI.f64) 2/3 (*.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 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(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 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) (sqrt.f64 (.f64 (PI.f64) 2/3)) (*.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 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 2) (cbrt.f64 (.f64 (PI.f64) 2/3)) (*.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 (PI.f64) 2/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))

localize47.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64)))))
	98.5%	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓	98.5%	(cos.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) 1))
	98.4%	(*.f64 2/3 (PI.f64))

Compiler

Compiled 92 to 58 computations (37% saved)

series34.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	g	@	0	(cos.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) 1))
8.0ms	h	@	0	(cos.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) 1))
0.0ms	g	@	inf	(cos.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) 1))
0.0ms	h	@	inf	(cos.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) 1))
0.0ms	g	@	-inf	(cos.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (exp.f64 (log1p.f64 (.f64 2/3 (PI.f64))))) 1))

rewrite105.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`associate-*r/`
1556×	`associate-*l/`
422×	`add-sqr-sqrt`
406×	`*-un-lft-identity`
404×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	80
1	407	64
2	5219	64

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

simplify115.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1186×	`associate-/l*`
980×	`unswap-sqr`
734×	`times-frac`
536×	`associate-/r*`
464×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	10727
1	766	10091
2	2927	9529

Stop Event

1×	node limit

Counts

149 → 154

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

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 (fma.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))))
(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 (.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 (.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 (.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 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
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(/.f64 (.f64 (/.f64 1 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (.f64 (fma.f64 2/3 (PI.f64) 1) (-.f64 (fma.f64 2/3 (PI.f64) 1) (.f64 1/3 (acos.f64 (/.f64 g h))))))) (+.f64 (.f64 1/19683 (pow.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 3)) (pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) 1) 3) 3))) (+.f64 (.f64 1/729 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) (pow.f64 (acos.f64 (/.f64 g h)) 3))) (-.f64 (pow.f64 (fma.f64 2/3 (PI.f64) 1) 6) (.f64 (.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)) (pow.f64 (fma.f64 2/3 (PI.f64) 1) 3)))))
(/.f64 (/.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 3) (pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) 1) 3) 3)) (fma.f64 (fma.f64 2/3 (PI.f64) 1) (+.f64 (fma.f64 2/3 (PI.f64) 1) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)))) (+.f64 (fma.f64 1/729 (pow.f64 (acos.f64 (/.f64 g h)) 6) (pow.f64 (fma.f64 2/3 (PI.f64) 1) 6)) (.f64 (pow.f64 (fma.f64 2/3 (PI.f64) 1) 3) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27))))
(/.f64 (/.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3/2) 6) (pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) 1) 3) 3)) (fma.f64 (fma.f64 2/3 (PI.f64) 1) (+.f64 (fma.f64 2/3 (PI.f64) 1) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)))) (+.f64 (fma.f64 1/729 (pow.f64 (acos.f64 (/.f64 g h)) 6) (pow.f64 (fma.f64 2/3 (PI.f64) 1) 6)) (.f64 (pow.f64 (fma.f64 2/3 (PI.f64) 1) 3) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27))))
(pow.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2)
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 3)
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3) 1/3)
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(fabs.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1)))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(exp.f64 (.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64)))) 1))
(exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (+.f64 (*.f64 2/3 (PI.f64)) 1))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (+.f64 (*.f64 2/3 (PI.f64)) 1))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(fma.f64 1 (.f64 (acos.f64 (/.f64 g h)) 1/3) (+.f64 (.f64 2/3 (PI.f64)) 1))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(fma.f64 1 (+.f64 (.f64 2/3 (PI.f64)) 1) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(fma.f64 (sqrt.f64 (+.f64 (.f64 2/3 (PI.f64)) 1)) (sqrt.f64 (+.f64 (.f64 2/3 (PI.f64)) 1)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(fma.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (+.f64 (*.f64 2/3 (PI.f64)) 1))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) 1)) 2) (cbrt.f64 (+.f64 (.f64 2/3 (PI.f64)) 1)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))
(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 (*.f64 2/3 (PI.f64)) 1))
(+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (fma.f64 2/3 (PI.f64) 1))

eval282.0ms (3.8%)

Compiler: Compiled 15791 to 10454 computations (33.8% saved)

prune74.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	415	2	417
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	416	5	421

Accurracy

99.9%

Counts

421 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (cos.f64 1)) (.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (cos.f64 1))) (.f64 (.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (sin.f64 1)) (.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (sin.f64 1)))) (-.f64 (.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (cos.f64 1)) (.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sin.f64 1)))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	96.6%	(.f64 2 (cos.f64 (-.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (+.f64 (*.f64 2/3 (PI.f64)) 2)) 1) 1)))
✓	96.6%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 166 to 131 computations (21.1% saved)

localize39.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (+.f64 (.f64 2/3 (PI.f64)) 2))
✓	98.5%	(-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (+.f64 (.f64 2/3 (PI.f64)) 2)) 1)
✓	98.5%	(cos.f64 (-.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (+.f64 (.f64 2/3 (PI.f64)) 2)) 1) 1))
	98.4%	(*.f64 2/3 (PI.f64))

Compiler

Compiled 108 to 70 computations (35.2% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite112.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`associate-+l+`
474×	`add-sqr-sqrt`
456×	`pow1`
456×	`*-un-lft-identity`
446×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	103
1	455	99
2	6151	93

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (cos.f64 1)) (*.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sin.f64 1)) (*.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (cos.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (cos.f64 1)) 1) (*.f64 (*.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sin.f64 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sin.f64 1)) 1) (*.f64 (*.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 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simplify126.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

946×	`associate--r+`
868×	`associate--l+`
768×	`+-commutative`
762×	`associate-/l*`
570×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	11127
1	933	10769
2	3647	10519

Stop Event

1×	node limit

Counts

235 → 218

Calls

Call 1

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

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

localize176.0ms (2.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (cos.f64 1))
	98.4%	(*.f64 2/3 (PI.f64))
✓	98.4%	(sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
✓	97.0%	(-.f64 (.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (cos.f64 1)) (.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (sin.f64 1)))

Compiler

Compiled 445 to 297 computations (33.3% saved)

series14.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite170.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`associate-+l+`
524×	`add-sqr-sqrt`
510×	`pow1`
510×	`*-un-lft-identity`
484×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	183
1	498	121
2	6600	121

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify268.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1344×	`associate-/l*`
1098×	`+-commutative`
1016×	`fma-def`
796×	`associate-/r*`
680×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	33551
1	1034	28837
2	4207	28715

Stop Event

1×	node limit

Counts

255 → 283

Calls

Call 1

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

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

eval1.1s (14.8%)

Compiler: Compiled 66802 to 46279 computations (30.7% saved)

prune180.0ms (2.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	726	1	727
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	727	5	732

Accurracy

99.9%

Counts

732 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (cos.f64 1)) (.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (cos.f64 1))) (.f64 (.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (sin.f64 1)) (.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (sin.f64 1)))) (-.f64 (.f64 (cos.f64 (+.f64 1 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) (cos.f64 1)) (.f64 (sin.f64 (+.f64 1 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) (sin.f64 1)))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	96.6%	(.f64 2 (cos.f64 (-.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (+.f64 (*.f64 2/3 (PI.f64)) 2)) 1) 1)))
✓	96.6%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 168 to 133 computations (20.8% saved)

localize195.0ms (2.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	98.4%	(*.f64 2/3 (PI.f64))
✓	98.4%	(sin.f64 (+.f64 1 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))))
	98.4%	(sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
✓	97.0%	(-.f64 (.f64 (cos.f64 (+.f64 1 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) (cos.f64 1)) (.f64 (sin.f64 (+.f64 1 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) (sin.f64 1)))

Compiler

Compiled 537 to 355 computations (33.9% saved)

series7.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite160.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`associate-+l+`
542×	`add-sqr-sqrt`
528×	`pow1`
528×	`*-un-lft-identity`
522×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	136
1	512	74
2	7065	74

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (cos.f64 1)) (*.f64 (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (neg.f64 (sin.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (cos.f64 1)) (+.f64 (*.f64 (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (neg.f64 (sin.f64 1))) (fma.f64 (neg.f64 (sin.f64 1)) (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (*.f64 (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (sin.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (cos.f64 1)) (*.f64 (*.f64 (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (neg.f64 (sin.f64 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (cos.f64 1)) (+.f64 (+.f64 (*.f64 (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (neg.f64 (sin.f64 1))) (fma.f64 (neg.f64 (sin.f64 1)) (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (*.f64 (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (sin.f64 1)))) (fma.f64 (neg.f64 (sin.f64 1)) (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (*.f64 (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (sin.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (cos.f64 1)) (+.f64 (*.f64 (*.f64 (sin.f64 (+.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (neg.f64 (sin.f64 1))) 1) (fma.f64 (neg.f64 (sin.f64 1)) (sin.f64 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simplify238.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1162×	`associate-/l*`
944×	`+-commutative`
902×	`distribute-lft-in`
856×	`fma-def`
730×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	29124
1	985	24412
2	3680	24230

Stop Event

1×	node limit

Counts

176 → 263

Calls

Call 1

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

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

eval1.0s (13.7%)

Compiler: Compiled 52969 to 36777 computations (30.6% saved)

prune124.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	420	1	421
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	421	5	426

Accurracy

99.9%

Counts

426 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(.f64 2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (cos.f64 1)) (.f64 (cos.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (cos.f64 1))) (.f64 (.f64 (sin.f64 (+.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (sin.f64 1)) (.f64 (sin.f64 (+.f64 1 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) (sin.f64 1)))) (-.f64 (.f64 (cos.f64 (+.f64 1 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) (cos.f64 1)) (.f64 (sin.f64 (+.f64 1 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))) (sin.f64 1)))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	96.6%	(.f64 2 (cos.f64 (-.f64 (-.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (+.f64 (*.f64 2/3 (PI.f64)) 2)) 1) 1)))
✓	96.6%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 169 to 134 computations (20.7% saved)

regimes68.0ms (0.9%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

9 calls:

10.0ms	h
6.0ms	(neg.f64 g)
6.0ms	g
5.0ms	(/.f64 (neg.f64 g) h)
2.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Results

Accuracy	Segments	Branch
98.5%	1	`g`
98.5%	1	`h`
98.5%	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
98.5%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
98.5%	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
98.5%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
98.5%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.5%	1	`(/.f64 (neg.f64 g) h)`
98.5%	1	`(neg.f64 g)`

Compiler

Compiled 471 to 339 computations (28% saved)

regimes66.0ms (0.9%)

Accuracy

Total -1.2b remaining (-116%)

Threshold costs -1.2b (-116%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

9 calls:

41.0ms	(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	g
4.0ms	(neg.f64 g)
4.0ms	h
3.0ms	(/.f64 (neg.f64 g) h)

Results

Accuracy	Segments	Branch
98.4%	1	`g`
98.4%	1	`h`
98.4%	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
98.4%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
98.4%	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
98.4%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
98.4%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.4%	1	`(/.f64 (neg.f64 g) h)`
98.4%	1	`(neg.f64 g)`

Compiler

Compiled 145 to 114 computations (21.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 46 to 40 computations (13% saved)

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 94 to 62 computations (34% saved)

end83.0ms (1.1%)

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

Details

analyze104.0ms (1.4%)

sample1.5s (20.2%)

preprocess19.0ms (0.3%)

simplify15.0ms (0.2%)

eval2.0ms (0%)

prune2.0ms (0%)

localize24.0ms (0.3%)

series8.0ms (0.1%)

rewrite103.0ms (1.4%)

simplify126.0ms (1.7%)

localize23.0ms (0.3%)

series4.0ms (0.1%)

rewrite83.0ms (1.1%)

simplify80.0ms (1.1%)

eval145.0ms (2%)

prune49.0ms (0.7%)

localize23.0ms (0.3%)

series3.0ms (0%)

rewrite108.0ms (1.5%)

simplify154.0ms (2.1%)

localize47.0ms (0.6%)

series34.0ms (0.5%)

rewrite105.0ms (1.4%)

simplify115.0ms (1.6%)

eval282.0ms (3.8%)

prune74.0ms (1%)

localize39.0ms (0.5%)

series3.0ms (0%)

rewrite112.0ms (1.5%)

simplify126.0ms (1.7%)

localize176.0ms (2.4%)

series14.0ms (0.2%)

rewrite170.0ms (2.3%)

simplify268.0ms (3.6%)

eval1.1s (14.8%)

prune180.0ms (2.4%)

localize195.0ms (2.6%)

series7.0ms (0.1%)

rewrite160.0ms (2.2%)

simplify238.0ms (3.2%)

eval1.0s (13.7%)

prune124.0ms (1.7%)

regimes68.0ms (0.9%)

regimes66.0ms (0.9%)

simplify7.0ms (0.1%)

soundness17.0ms (0.2%)

end83.0ms (1.1%)

Profiling