Details

analyze302.0ms (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)

sample4.7s (21.9%)

Results

4.3s	8256×	body	256	valid
326.0ms	1133×	body	256	invalid

Bogosity

preprocess372.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

984×	`rational_best.json-simplify-46`
900×	`rational_best.json-simplify-45`
846×	`trig.json-simplify-47`
786×	`rational_best.json-simplify-1`
728×	`trig.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	54	102
2	107	102
3	364	102
4	1142	102
5	3712	102
0	2	2

Stop Event

1×	saturated
1×	node limit

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

Compiler

Compiled 20 to 18 computations (10% saved)

simplify117.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1014×	`rational_best.json-simplify-1`
962×	`trig.json-simplify-45`
702×	`trig.json-simplify-33`
602×	`trig.json-simplify-51`
530×	`rational_best.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	35	51
2	65	51
3	200	51
4	606	51
5	1936	51
6	4337	51

Stop Event

1×	node limit

Counts

1 → 1

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))))

eval1.0ms (0%)

Compiler: Compiled 18 to 16 computations (11.1% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize217.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 76 to 41 computations (46.1% saved)

series24.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite375.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`rational_best.json-2`
1308×	`rational_best.json-3`
1308×	`rational_best.json-1`
1308×	`rational_best.json-5`
1306×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	122
1	151	122
2	556	122
3	2475	122

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 2 (PI.f64)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 2 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 2 (PI.f64)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (PI.f64)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (PI.f64)) 3) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 1 (/.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 2 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (.f64 2 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3))) (/.f64 (.f64 2 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 2 (PI.f64)) 3) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (neg.f64 (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 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simplify293.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1478×	`rational_best.json-simplify-48`
1066×	`rational_best.json-simplify-43`
1012×	`rational_best.json-simplify-47`
1006×	`rational_best.json-simplify-1`
690×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	160	5251
1	334	5011
2	1063	5011
3	4660	5011

Stop Event

1×	node limit

Counts

149 → 90

Calls

Call 1

Inputs
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(pow.f64 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(cos.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (neg.f64 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(-.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
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(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
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(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 1 (/.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 1 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 -1 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (-.f64 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -1)
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (/.f64 1 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (/.f64 1 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 1 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -1)
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (.f64 2 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(pow.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(neg.f64 (-.f64 (neg.f64 (/.f64 (*.f64 2 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 0)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(+.f64 0 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 0)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 1 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(*.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(*.f64 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(.f64 (/.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(.f64 (/.f64 (/.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1)
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

eval213.0ms (1%)

Compiler: Compiled 2624 to 1683 computations (35.9% saved)

prune30.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	4	91

Error

1.0b

Counts

91 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(.f64 2 (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2))))
▶	1.6b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
▶	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3)))))
▶	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 168 to 131 computations (22% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 32 computations (52.2% saved)

series291.0ms (1.4%)

Counts

4 → 12

Calls

18 calls:

Time	Variable		Point	Expression
282.0ms	h	@	inf	(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
1.0ms	h	@	-inf	(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))
1.0ms	h	@	inf	(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))
1.0ms	g	@	0	(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))
1.0ms	g	@	inf	(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational_best.json-5`
1290×	`rational_best.json-2`
1290×	`rational_best.json-3`
1290×	`rational_best.json-1`
1290×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	144	104
2	535	104
3	2413	104

Stop Event

1×	node limit

Counts

4 → 68

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (/.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 1)))))

simplify408.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational_best.json-simplify-48`
1054×	`rational_best.json-simplify-2`
870×	`rational_best.json-simplify-43`
676×	`rational_best.json-simplify-1`
558×	`rational_best.json-simplify-129`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	2694
1	299	2694
2	1046	2694
3	3878	2694

Stop Event

1×	node limit

Counts

80 → 79

Calls

Call 1

Inputs
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(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(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 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2/3 (PI.f64)) 0)
(+.f64 0 (*.f64 2/3 (PI.f64)))
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Outputs
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(.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (/.f64 1 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (/.f64 1 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(.f64 (/.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (/.f64 1 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(.f64 (/.f64 -1 (-.f64 (neg.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 2/3 (PI.f64)))) (.f64 (-.f64 (neg.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 2/3 (PI.f64))) (-.f64 (neg.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 2/3 (PI.f64)))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(/.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 1)
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(/.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (/.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(/.f64 (-.f64 (neg.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 2/3 (PI.f64))) -1)
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(/.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) 2)
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(pow.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 1)
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(neg.f64 (-.f64 (neg.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 2/3 (PI.f64))))
(+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 0)
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 0 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 0)
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(/.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 1)
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(/.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (/.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(/.f64 (*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) 2)
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(pow.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) 1)
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))

localize195.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 128 to 67 computations (47.7% saved)

series108.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
97.0ms	h	@	-inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))
4.0ms	g	@	0	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))
1.0ms	g	@	-inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))
1.0ms	h	@	inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))
1.0ms	g	@	inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))

rewrite410.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`rational_best.json-2`
1090×	`rational_best.json-3`
1090×	`rational_best.json-1`
1088×	`rational_best.json-5`
1086×	`exponential.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	118
1	164	92
2	571	86
3	2418	86

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs

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

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

Outputs

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simplify295.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1086×	`rational_best.json-simplify-2`
672×	`rational_best.json-simplify-54`
652×	`rational_best.json-simplify-1`
642×	`rational_best.json-simplify-48`
634×	`rational_best.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	5199
1	310	4965
2	831	4861
3	3018	4861

Stop Event

1×	node limit

Counts

103 → 75

Calls

Call 1

Inputs
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(.f64 (.f64 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (/.f64 1 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))) (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3))))
(cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(.f64 (/.f64 (cos.f64 0) (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))) 2))
(cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3))))) 2)))
(cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(.f64 (/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))) (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))) 2))
(cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(.f64 (/.f64 (.f64 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (/.f64 1 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))) (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3))))) 2))
(cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(/.f64 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3))) 1)
(cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(/.f64 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (/.f64 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3)))))
(cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(/.f64 (.f64 2 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))) 2)
(cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(pow.f64 (cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3))) 1)
(cos.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))

localize498.0ms (2.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 223 to 140 computations (37.2% saved)

series9.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite115.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`rational_best.json-2`
928×	`rational_best.json-3`
928×	`rational_best.json-1`
928×	`rational_best.json-5`
926×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	160	51
2	511	51
3	2113	51

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (/.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (*.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (/.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (/.f64 1 (/.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2) (/.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (/.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2)) (*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (/.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (/.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 1)))))

simplify348.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1108×	`rational_best.json-simplify-48`
962×	`rational_best.json-simplify-135`
888×	`rational_best.json-simplify-49`
850×	`rational_best.json-simplify-50`
660×	`rational_best.json-simplify-45`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	2301
1	137	2253
2	326	2253
3	936	2253
4	5170	2253

Stop Event

1×	node limit

Counts

47 → 26

Calls

Call 1

Inputs
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(+.f64 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 0)
(+.f64 0 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))
(-.f64 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 0)
(-.f64 0 (neg.f64 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))))
(.f64 (cos.f64 (.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 1)
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(.f64 (/.f64 (cos.f64 0) (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2))
(cos.f64 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2)))
(cos.f64 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (/.f64 (/.f64 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2))
(cos.f64 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (/.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)))) (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -4))) 2))
(cos.f64 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 1)
(cos.f64 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (/.f64 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))))
(cos.f64 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 2 (cos.f64 (.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)
(cos.f64 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(pow.f64 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2)) 1)
(cos.f64 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

localize583.0ms (2.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 385 to 254 computations (34% saved)

series61.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	g	@	inf	(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)))
8.0ms	h	@	inf	(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)))
2.0ms	g	@	-inf	(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)))
2.0ms	g	@	0	(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)))
2.0ms	h	@	-inf	(.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)))

rewrite138.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`rational_best.json-2`
1920×	`rational_best.json-3`
1920×	`rational_best.json-1`
1920×	`rational_best.json-5`
1918×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	255
1	239	255
2	838	255
3	3723	255

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

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

Outputs

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

simplify429.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational_best.json-simplify-47`
986×	`rational_best.json-simplify-132`
848×	`rational_best.json-simplify-80`
790×	`rational_best.json-simplify-78`
578×	`rational_best.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	4560
1	114	4464
2	249	4464
3	758	4464
4	3391	4464

Stop Event

1×	node limit

Counts

32 → 13

Calls

Call 1

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

eval958.0ms (4.5%)

Compiler: Compiled 31580 to 21493 computations (31.9% saved)

prune311.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	517	9	526
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	520	10	530

Error

Counts

530 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 2 (-.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (.f64 (sin.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (sin.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
	1.6b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
▶	0.0b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
	1.6b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))))
▶	1.6b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))
	1.6b	(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
▶	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (*.f64 (PI.f64) 2) 3)))))))
▶	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 782 to 586 computations (25.1% saved)

localize193.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (*.f64 (PI.f64) 2) 3)
✓	1.0b	(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	1.5b	(cos.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))
✓	56.4b	(cos.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Compiler

Compiled 257 to 141 computations (45.1% saved)

series11.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

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

rewrite132.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`rational_best.json-2`
1114×	`rational_best.json-3`
1114×	`rational_best.json-1`
1112×	`rational_best.json-5`
1110×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	132
1	162	132
2	550	132
3	2359	132

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

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

Outputs
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simplify315.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1884×	`rational_best.json-simplify-48`
1118×	`rational_best.json-simplify-129`
696×	`rational_best.json-simplify-49`
678×	`rational_best.json-simplify-2`
646×	`rational_best.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	6317
1	350	6173
2	1115	6069
3	3231	6069

Stop Event

1×	node limit

Counts

161 → 107

Calls

Call 1

Inputs
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(pow.f64 (/.f64 (*.f64 (PI.f64) 2) 3) 1)

Outputs
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(cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
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(cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
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(.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 1 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 1 (/.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 1 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 -1 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) -1)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (/.f64 1 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (/.f64 1 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 1 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (/.f64 (/.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 1 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(.f64 (/.f64 -1 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)) -1)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (.f64 2 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (.f64 2 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3))) -2)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(neg.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(+.f64 (/.f64 (*.f64 (PI.f64) 2) 3) 0)
(/.f64 (*.f64 (PI.f64) 2) 3)
(+.f64 0 (/.f64 (*.f64 (PI.f64) 2) 3))
(/.f64 (*.f64 (PI.f64) 2) 3)
(-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) 0)
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (/.f64 (.f64 (PI.f64) 2) 3) 1)
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (.f64 (PI.f64) 2) 3)))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (/.f64 (.f64 (PI.f64) 2) 3) (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 1 (/.f64 (*.f64 (PI.f64) 2) 3))))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 1 (/.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (.f64 (PI.f64) 2) 3))))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 1 (/.f64 (.f64 (PI.f64) 2) 3))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (/.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (/.f64 (.f64 (PI.f64) 2) 3))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 2) 3)) (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (/.f64 1 (/.f64 (*.f64 (PI.f64) 2) 3)))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 1 (/.f64 (.f64 (PI.f64) 2) 3))) (/.f64 (*.f64 (PI.f64) 2) 3))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 2) 3)) (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (.f64 (PI.f64) 2) 3))) (.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (.f64 (PI.f64) 2) 3))))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (/.f64 (/.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (/.f64 (.f64 (PI.f64) 2) 3)) (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (*.f64 (PI.f64) 2) 3)))
(/.f64 (*.f64 (PI.f64) 2) 3)
(.f64 (/.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 1 (/.f64 (.f64 (PI.f64) 2) 3))) (/.f64 (.f64 (PI.f64) 2) 3)) (.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (.f64 (PI.f64) 2) 3)))
(/.f64 (*.f64 (PI.f64) 2) 3)
(pow.f64 (/.f64 (*.f64 (PI.f64) 2) 3) 1)
(/.f64 (*.f64 (PI.f64) 2) 3)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
	1.0b	(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
✓	1.0b	(-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
✓	1.0b	(cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))

Compiler

Compiled 98 to 33 computations (66.3% saved)

series12.0ms (0.1%)

Counts

3 → 12

Calls

18 calls:

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

rewrite191.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`rational_best.json-2`
922×	`rational_best.json-3`
922×	`rational_best.json-1`
922×	`rational_best.json-5`
920×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	143
1	145	143
2	480	143
3	2024	143

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (/.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) 1)))))

simplify264.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1694×	`rational_best.json-simplify-48`
940×	`rational_best.json-simplify-2`
522×	`rational_best.json-simplify-129`
516×	`rational_best.json-simplify-49`
452×	`rational_best.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	4557
1	232	4557
2	786	4557
3	2390	4557

Stop Event

1×	node limit

Counts

69 → 73

Calls

Call 1

Inputs
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Outputs
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(-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 (/.f64 -1 (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))))) (.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))
(-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(/.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 1)
(-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(/.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (/.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))
(-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(/.f64 (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) -1)
(-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(/.f64 (-.f64 (.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h)))) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)
(/.f64 (-.f64 0 (-.f64 (.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))))) -2)
(/.f64 (-.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h)))) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)
(pow.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3)) 1)
(-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(neg.f64 (-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3) (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(+.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) 0)
(*.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h)))))
(+.f64 0 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))))
(*.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h)))))
(-.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) 0)
(*.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h)))))
(/.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) 1)
(*.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h)))))
(/.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (/.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(*.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h)))))
(/.f64 (*.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) 2)
(*.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h)))))
(pow.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) 1)
(*.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h)))))

localize179.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 (PI.f64) 2) 3))
✓	1.0b	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (.f64 (PI.f64) 2) 3))))))
	1.0b	(/.f64 (*.f64 (PI.f64) 2) 3)
✓	1.6b	(+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (*.f64 (PI.f64) 2) 3))))

Compiler

Compiled 192 to 119 computations (38% saved)

series193.0ms (0.9%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
182.0ms	g	@	0	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (.f64 (PI.f64) 2) 3))))))
2.0ms	g	@	-inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (.f64 (PI.f64) 2) 3))))))
1.0ms	g	@	inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (.f64 (PI.f64) 2) 3))))))
1.0ms	h	@	inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (.f64 (PI.f64) 2) 3))))))
1.0ms	h	@	-inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (.f64 (PI.f64) 2) 3))))))

rewrite277.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`rational_best.json-2`
1138×	`rational_best.json-3`
1138×	`rational_best.json-1`
1134×	`rational_best.json-5`
1132×	`exponential.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	219
1	190	219
2	629	211
3	2610	161

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify283.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

994×	`rational_best.json-simplify-49`
894×	`rational_best.json-simplify-132`
836×	`rational_best.json-simplify-2`
542×	`rational_best.json-simplify-44`
498×	`rational_best.json-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	7315
1	260	7123
2	1077	7123
3	3029	7123

Stop Event

1×	node limit

Counts

129 → 68

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 4/3 (PI.f64)))
(-.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 4/3 (PI.f64)))
(-.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 4/3 (PI.f64)))
(-.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 4/3 (PI.f64)))
(-.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 4/3 (PI.f64)))
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Outputs
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localize485.0ms (2.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 197 to 114 computations (42.1% saved)

series10.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite137.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`rational_best.json-2`
1516×	`rational_best.json-3`
1516×	`rational_best.json-1`
1516×	`rational_best.json-5`
1514×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	119
1	170	119
2	618	119
3	2805	119

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (/.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (*.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (/.f64 1 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 4))) 2) (/.f64 1 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (/.f64 1 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)))) (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (/.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2/3 (PI.f64)) (neg.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (neg.f64 (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (/.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (/.f64 1 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (neg.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (*.f64 2/3 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (/.f64 1 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (/.f64 1 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (/.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (*.f64 2/3 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (*.f64 2/3 (PI.f64))))))))

simplify243.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

830×	`rational_best.json-simplify-44`
786×	`rational_best.json-simplify-46`
770×	`rational_best.json-simplify-45`
694×	`rational_best.json-simplify-129`
666×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	5293
1	269	5293
2	860	5293
3	3608	5293

Stop Event

1×	node limit

Counts

131 → 69

Calls

Call 1

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

localize521.0ms (2.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 345 to 226 computations (34.5% saved)

eval2.0s (9.2%)

Compiler: Compiled 39800 to 25743 computations (35.3% saved)

prune299.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	653	4	657
Fresh	1	3	4
Picked	1	0	1
Done	2	3	5
Total	657	10	667

Error

Counts

667 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))))
▶	1.6b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))))
	0.0b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))))
▶	0.0b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 1) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))))
✓	1.6b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))
▶	1.6b	(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
▶	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))
✓	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
▶	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 669 to 492 computations (26.5% saved)

localize304.0ms (1.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 341 to 210 computations (38.4% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 109 to 48 computations (56% saved)

series23.0ms (0.1%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	h	@	-inf	(cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
2.0ms	g	@	inf	(cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
2.0ms	g	@	0	(cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
1.0ms	h	@	inf	(cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
1.0ms	h	@	0	(cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`rational_best.json-2`
1072×	`rational_best.json-1`
1072×	`rational_best.json-5`
1070×	`rational_best.json-3`
1070×	`exponential.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	121
1	157	95
2	554	95
3	2356	95

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (neg.f64 (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 0 (*.f64 (PI.f64) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (*.f64 2/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (*.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) (-.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) (*.f64 (PI.f64) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3)) (-.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (*.f64 2/3 (PI.f64))) (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (/.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (/.f64 1 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) (/.f64 1 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (/.f64 1 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (*.f64 (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (/.f64 1 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) (*.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (/.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) (*.f64 (PI.f64) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (*.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))) (cos.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3))) (*.f64 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simplify216.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational_best.json-simplify-1`
1072×	`rational_best.json-simplify-46`
1036×	`rational_best.json-simplify-2`
1012×	`rational_best.json-simplify-45`
458×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	5376
1	366	5350
2	1235	5350
3	4156	4506

Stop Event

1×	node limit

Counts

102 → 103

Calls

Call 1

Inputs
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Outputs
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(.f64 (/.f64 (.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (/.f64 1 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) 4/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -2/3)))) 2))
(.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) 4/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -2/3)))) 2) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 2) (/.f64 (.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))
(/.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(/.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (/.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(/.f64 (.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 2)
(cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(pow.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))) 1)
(cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (-.f64 (.f64 2/3 (+.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 g h))))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) 0)
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) (+.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 0 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3))
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(-.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) 0)
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(-.f64 0 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -2/3))
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 4/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3))
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -2/3) (.f64 (neg.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3)) 2))
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(-.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 8/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(/.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) 1)
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))
(/.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) (/.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 8/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 8/3)))
(/.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (/.f64 (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 8/3) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 8/3)))
(/.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 4/3) 2)
(pow.f64 (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2/3) 1)
(*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 (PI.f64) 4/3))))
	1.0b	(*.f64 2/3 (PI.f64))
✓	1.0b	(*.f64 (PI.f64) 4/3)
✓	1.6b	(-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))

Compiler

Compiled 167 to 82 computations (50.9% saved)

series8.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 (PI.f64) 4/3))))
1.0ms	h	@	inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 (PI.f64) 4/3))))
1.0ms	h	@	-inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 (PI.f64) 4/3))))
1.0ms	g	@	inf	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 (PI.f64) 4/3))))
1.0ms	h	@	0	(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 (PI.f64) 4/3))))

rewrite133.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`rational_best.json-2`
1402×	`rational_best.json-3`
1402×	`rational_best.json-1`
1400×	`rational_best.json-5`
1398×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	143
1	231	143
2	742	143
3	3107	143

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs

(-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))

(*.f64 (PI.f64) 4/3)

(cos.f64 (-.f64 (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (neg.f64 (*.f64 (PI.f64) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (PI.f64) 4/3)) (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (PI.f64) 4/3))) (-.f64 0 (*.f64 (PI.f64) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (/.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (/.f64 1 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))) (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (PI.f64) 4/3) (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))) (/.f64 1 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (/.f64 1 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))) (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (/.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (PI.f64) 4/3) (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (PI.f64) 4/3) (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))))

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simplify206.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational_best.json-simplify-2`
1038×	`rational_best.json-simplify-1`
930×	`rational_best.json-simplify-54`
928×	`rational_best.json-simplify-46`
830×	`rational_best.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	5906
1	273	5828
2	923	5828
3	3872	5204

Stop Event

1×	node limit

Counts

96 → 63

Calls

Call 1

Inputs
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Outputs
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(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))) 1)
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
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(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))) (cos.f64 0))
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(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))))
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))) (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))) 2))
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))))
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (cos.f64 0) (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (/.f64 1 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))) (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) 1)
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (/.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))))
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))) 2)
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(pow.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) 1)
(cos.f64 (+.f64 (.f64 (PI.f64) 4/3) (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (.f64 2/3 (PI.f64)) (.f64 (PI.f64) -4/3)))))
(cos.f64 (-.f64 (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

localize162.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 192 to 109 computations (43.2% saved)

series17.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	h	@	0	(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
2.0ms	g	@	0	(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
1.0ms	h	@	inf	(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
1.0ms	g	@	inf	(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
1.0ms	h	@	-inf	(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

rewrite139.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`rational_best.json-5`
1582×	`rational_best.json-2`
1582×	`rational_best.json-3`
1582×	`rational_best.json-1`
1582×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	140
1	192	140
2	674	140
3	3069	140

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (/.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (*.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (/.f64 1 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))) (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))) (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))) -4))) 2) (/.f64 1 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (/.f64 1 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))) (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (/.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (cos.f64 (*.f64 -2 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))) 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simplify196.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

936×	`rational_best.json-simplify-2`
824×	`rational_best.json-simplify-1`
810×	`rational_best.json-simplify-48`
798×	`rational_best.json-simplify-45`
778×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	2510
1	164	2510
2	399	2510
3	1286	2510
4	5223	2510

Stop Event

1×	node limit

Counts

38 → 34

Calls

Call 1

Inputs
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(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
(cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))
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(.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (cos.f64 0))
(.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))
(.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
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(/.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 1)
(/.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(/.f64 (.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 2) 2)
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(.f64 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))
(/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (.f64 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 1 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))))
(/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (.f64 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (/.f64 1 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) (/.f64 1 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))) (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))))
(/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(pow.f64 (/.f64 (+.f64 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))) 1) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))) 1)
(/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))

localize137.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 308 to 183 computations (40.6% saved)

eval746.0ms (3.5%)

Compiler: Compiled 28709 to 18472 computations (35.7% saved)

prune201.0ms (0.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	549	4	553
Fresh	0	2	2
Picked	1	0	1
Done	2	5	7
Total	552	11	563

Error

Counts

563 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))))
	1.6b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) 4/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -2/3)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))
	2.0b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (+.f64 (.f64 2/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))))))))
	0.0b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))))
✓	0.0b	(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 1) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))))
	1.6b	(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) -4))) 2) (/.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
✓	1.6b	(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
✓	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
✓	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (*.f64 (PI.f64) 4/3))))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 423 to 314 computations (25.8% saved)

regimes147.0ms (0.7%)

Counts

22 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(.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 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3)))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (*.f64 (PI.f64) 4/3))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (*.f64 (PI.f64) 2) 3)))))))
(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) 4/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -2/3)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (+.f64 (.f64 2/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))))
(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) -4))) 2) (/.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 1) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
(.f64 2 (-.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (.f64 (sin.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (sin.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (.f64 (sin.f64 (/.f64 (.f64 2 (PI.f64)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(.f64 2 (.f64 (/.f64 (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2))))

Outputs

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

Calls

9 calls:

23.0ms	(neg.f64 g)
23.0ms	g
21.0ms	h
13.0ms	(/.f64 (neg.f64 g) h)
9.0ms	(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Results

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

Compiler

Compiled 964 to 637 computations (33.9% saved)

regimes140.0ms (0.7%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(.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 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3)))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (*.f64 (PI.f64) 4/3))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (*.f64 (PI.f64) 2) 3)))))))
(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) 4/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -2/3)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (+.f64 (.f64 2/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))))
(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) -4))) 2) (/.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 1) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))

Outputs

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

Calls

9 calls:

30.0ms	g
21.0ms	h
17.0ms	(neg.f64 g)
15.0ms	(/.f64 (neg.f64 g) h)
7.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Results

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

Compiler

Compiled 724 to 479 computations (33.8% saved)

regimes107.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(.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 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3)))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (*.f64 (PI.f64) 4/3))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (*.f64 (PI.f64) 2) 3)))))))
(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) 4/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -2/3)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (+.f64 (.f64 2/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))))
(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) -4))) 2) (/.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))

Outputs

(*.f64 2 (*.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (*.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 2) (/.f64 1 (cos.f64 (-.f64 (*.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))))

Calls

9 calls:

19.0ms	h
16.0ms	g
15.0ms	(neg.f64 g)
13.0ms	(/.f64 (neg.f64 g) h)
5.0ms	(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Results

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

Compiler

Compiled 606 to 397 computations (34.5% saved)

regimes100.0ms (0.5%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))
(.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 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (*.f64 2 (PI.f64)) 3)))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) (neg.f64 (*.f64 (PI.f64) 4/3))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (*.f64 (PI.f64) 4/3)))))
(.f64 2 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 (PI.f64) 2) 3)) (neg.f64 (.f64 2 (/.f64 (*.f64 (PI.f64) 2) 3)))))))
(.f64 2 (.f64 1/2 (/.f64 (+.f64 1 (cos.f64 (.f64 -2 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (PI.f64) 4/3) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) -2/3)))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64)))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (+.f64 (.f64 2/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (.f64 2/3 (PI.f64))) (.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -2))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))))

Outputs
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))

Calls

9 calls:

15.0ms	(neg.f64 g)
14.0ms	g
14.0ms	h
12.0ms	(/.f64 (neg.f64 g) h)
7.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Results

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

Compiler

Compiled 507 to 340 computations (32.9% saved)

regimes51.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0.6%)

Threshold costs -0.0b (-0.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

9 calls:

7.0ms	(/.f64 (neg.f64 g) h)
7.0ms	(neg.f64 g)
7.0ms	h
6.0ms	g
5.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Results

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

Compiler

Compiled 133 to 102 computations (23.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	617

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (-.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (.f64 (sin.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (sin.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 1) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Outputs
(.f64 2 (-.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (.f64 (sin.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (sin.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2))) 2) (/.f64 1 (.f64 (/.f64 (+.f64 (cos.f64 (.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))) 2)) 1) 2) (/.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))))))))))
(.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)) 4/3) (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h))))))) 2) (/.f64 1 (cos.f64 (-.f64 (.f64 2/3 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64))) (.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3))))))
(.f64 2 (cos.f64 (-.f64 (.f64 2/3 (acos.f64 (neg.f64 (/.f64 g h)))) (-.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (.f64 2/3 (PI.f64))))))
(.f64 2 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 200 to 140 computations (30% saved)

soundness223.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1086×	`rational_best.json-simplify-2`
672×	`rational_best.json-simplify-54`
652×	`rational_best.json-simplify-1`
642×	`rational_best.json-simplify-48`
634×	`rational_best.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	5199
1	310	4965
2	831	4861
3	3018	4861

Stop Event

1×	node limit

Compiler

Compiled 55 to 37 computations (32.7% saved)

end135.0ms (0.6%)

Compiler: Compiled 192 to 119 computations (38% saved)

Details

analyze302.0ms (1.4%)

sample4.7s (21.9%)

preprocess372.0ms (1.7%)

simplify117.0ms (0.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize217.0ms (1%)

series24.0ms (0.1%)

rewrite375.0ms (1.8%)

simplify293.0ms (1.4%)

eval213.0ms (1%)

prune30.0ms (0.1%)

localize41.0ms (0.2%)

series291.0ms (1.4%)

rewrite107.0ms (0.5%)

simplify408.0ms (1.9%)

localize195.0ms (0.9%)

series108.0ms (0.5%)

rewrite410.0ms (1.9%)

simplify295.0ms (1.4%)

localize498.0ms (2.3%)

series9.0ms (0%)

rewrite115.0ms (0.5%)

simplify348.0ms (1.6%)

localize583.0ms (2.7%)

series61.0ms (0.3%)

rewrite138.0ms (0.6%)

simplify429.0ms (2%)

eval958.0ms (4.5%)

prune311.0ms (1.5%)

localize193.0ms (0.9%)

series11.0ms (0.1%)

rewrite132.0ms (0.6%)

simplify315.0ms (1.5%)

localize49.0ms (0.2%)

series12.0ms (0.1%)

rewrite191.0ms (0.9%)

simplify264.0ms (1.2%)

localize179.0ms (0.8%)

series193.0ms (0.9%)

rewrite277.0ms (1.3%)

simplify283.0ms (1.3%)

localize485.0ms (2.3%)

series10.0ms (0%)

rewrite137.0ms (0.6%)

simplify243.0ms (1.1%)

localize521.0ms (2.4%)

eval2.0s (9.2%)

prune299.0ms (1.4%)

localize304.0ms (1.4%)

localize47.0ms (0.2%)

series23.0ms (0.1%)

rewrite128.0ms (0.6%)

simplify216.0ms (1%)

localize68.0ms (0.3%)

series8.0ms (0%)

rewrite133.0ms (0.6%)

simplify206.0ms (1%)

localize162.0ms (0.8%)

series17.0ms (0.1%)

rewrite139.0ms (0.7%)

simplify196.0ms (0.9%)

localize137.0ms (0.6%)

eval746.0ms (3.5%)

prune201.0ms (0.9%)

regimes147.0ms (0.7%)

regimes140.0ms (0.7%)

regimes107.0ms (0.5%)

regimes100.0ms (0.5%)

regimes51.0ms (0.2%)

simplify13.0ms (0.1%)

soundness223.0ms (1%)

end135.0ms (0.6%)

Profiling