Details

analyze446.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample8.3s (18.3%)

Results

7.2s	8256×	body	256	valid
1.1s	1143×	body	256	invalid

Bogosity

preprocess174.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

762×	`rational_best-simplify-47`
734×	`rational_best-simplify-48`
654×	`rational_best-simplify-52`
536×	`rational_best-simplify-65`
532×	`rational_best-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	90
1	68	90
2	162	90
3	481	90
4	1643	90
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)) (acos.f64 (/.f64 (neg.f64 g) h))) 3)))
(.f64 2 (cos.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 3)))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(.f64 2 (cos.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 h) g))) 3)))
(.f64 2 (cos.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 h (neg.f64 g)))) 3)))

Compiler

Compiled 20 to 18 computations (10% saved)

simplify229.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational_best-simplify-75`
1484×	`rational_best-simplify-76`
1090×	`rational_best-simplify-56`
418×	`rational_best-simplify-1`
390×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	44	45
2	102	45
3	284	45
4	932	45
5	4298	45

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval2.0ms (0%)

Compiler: Compiled 46 to 35 computations (23.9% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize103.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

1.0b

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

Compiler

Compiled 67 to 32 computations (52.2% saved)

series28.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	h	@	-inf	(cos.f64 (/.f64 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h))) 3))
2.0ms	g	@	0	(cos.f64 (/.f64 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h))) 3))
2.0ms	g	@	inf	(cos.f64 (/.f64 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h))) 3))
1.0ms	h	@	inf	(cos.f64 (/.f64 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h))) 3))
1.0ms	g	@	-inf	(cos.f64 (/.f64 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h))) 3))

rewrite369.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`rational_best-2`
2006×	`rational_best-3`
2006×	`rational_best-1`
446×	`rational_best-4`
444×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	103
1	114	103
2	282	103
3	1032	103
4	5698	103

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Inputs

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

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

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1/3)) (neg.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 4) 1/6)) (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3))) (neg.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/6)) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1/3)) 2) (/.f64 (cos.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) 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simplify539.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational_best-simplify-47`
976×	`rational_best-simplify-65`
964×	`rational_best-simplify-49`
812×	`rational_best-simplify-48`
740×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	8485
1	820	7501
2	2469	7169

Stop Event

1×	node limit

Counts

201 → 162

Calls

Call 1

Inputs
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(.f64 (-.f64 (.f64 (PI.f64) -2) (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 4) 1/12)
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 (-.f64 (.f64 (PI.f64) -2) (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(.f64 1/2 (.f64 2 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1/3)))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 (-.f64 (.f64 (PI.f64) -2) (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(*.f64 1/3 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 (-.f64 (.f64 (PI.f64) -2) (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(.f64 1/6 (+.f64 (.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (PI.f64) 4)))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 (-.f64 (.f64 (PI.f64) -2) (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(.f64 1/12 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 4))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 (-.f64 (.f64 (PI.f64) -2) (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(.f64 (/.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 4) 3) 1/4)
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 (-.f64 (.f64 (PI.f64) -2) (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(.f64 (.f64 2 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 4)) 1/24)
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 (-.f64 (.f64 (PI.f64) -2) (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(pow.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1/3) 1)
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/3 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 (-.f64 (.f64 (PI.f64) -2) (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(-.f64 (PI.f64) (+.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (neg.f64 (PI.f64))))
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(-.f64 (PI.f64) (/.f64 (-.f64 0 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) 2))
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(-.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 0)
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(-.f64 (*.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))))
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(-.f64 (.f64 (PI.f64) 4) (+.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (.f64 2 (PI.f64))))
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(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) (/.f64 (-.f64 0 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) 4))) 2))
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(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) (-.f64 (/.f64 (PI.f64) -1/2) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2)))
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(-.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (neg.f64 (PI.f64)))
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
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(-.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (/.f64 (PI.f64) -1/2) 2))
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(-.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) (*.f64 2 (PI.f64))) (-.f64 0 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2)))
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(-.f64 (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) (*.f64 2 (PI.f64))) (/.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 2))
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
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(-.f64 (+.f64 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2)) (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) -2))
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
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(-.f64 (+.f64 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2)) (-.f64 (neg.f64 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2)))
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(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (PI.f64) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) (neg.f64 (PI.f64)))
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 4) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 4))
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
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(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) (/.f64 (PI.f64) -1/2)) (-.f64 0 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2)))
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)))
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 (+.f64 (.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (PI.f64) 4)) 1/2)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 4) 1/4)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 1/2 (+.f64 (.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (PI.f64) 4)))
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(/.f64 (+.f64 (.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (.f64 (PI.f64) 4)) 2)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 4) 4)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(/.f64 (.f64 2 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 4)) 8)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))))) 4)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 2 (.f64 (PI.f64) 4))) 4)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 1)
(+.f64 (.f64 2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h))))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h)))

eval296.0ms (0.7%)

Compiler: Compiled 3814 to 2320 computations (39.2% saved)

prune95.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	4	163

Error

0.0b

Counts

163 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (cos.f64 (/.f64 (.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (sin.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6)))))
▶	1.0b	(.f64 2 (cos.f64 (/.f64 (-.f64 (.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))) 3)))
✓	1.0b	(.f64 2 (cos.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h))) 3)))
▶	1.0b	(.f64 2 (cos.f64 (-.f64 (/.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12))))

Compiler

Compiled 113 to 85 computations (24.8% saved)

localize247.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12)
✓	1.0b	(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3)
✓	1.0b	(/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12)
✓	1.0b	(cos.f64 (-.f64 (/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))

Compiler

Compiled 155 to 78 computations (49.7% saved)

series48.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
16.0ms	h	@	-inf	(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3)
15.0ms	g	@	0	(cos.f64 (-.f64 (/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))
4.0ms	h	@	inf	(cos.f64 (-.f64 (/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))
2.0ms	g	@	inf	(cos.f64 (-.f64 (/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))
2.0ms	g	@	-inf	(cos.f64 (-.f64 (/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))

rewrite261.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`rational_best-simplify-52`
590×	`rational_best-simplify-48`
580×	`rational_best-simplify-67`
576×	`rational_best-2`
576×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	190
1	150	190
2	382	190
3	1445	156

Stop Event

1×	node limit

Counts

4 → 122

Calls

Call 1

Inputs
(cos.f64 (-.f64 (/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))
(/.f64 (*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12)
(*.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3)
(/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12)

Outputs
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simplify564.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

846×	`rational_best-simplify-64`
824×	`rational_best-simplify-47`
764×	`rational_best-simplify-49`
754×	`rational_best-simplify-65`
676×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	10948
1	705	9736
2	1964	9460

Stop Event

1×	node limit

Counts

218 → 178

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 1/4 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (.f64 -2 (PI.f64)))) (.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (-.f64 (.f64 1/4 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (.f64 -2 (PI.f64)))) (.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (-.f64 (.f64 1/4 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (.f64 -2 (PI.f64)))) (.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (-.f64 (.f64 1/4 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (.f64 -2 (PI.f64)))) (.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h)))))))
(cos.f64 (-.f64 (.f64 1/4 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (.f64 -2 (PI.f64)))) (.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (.f64 -1 (/.f64 g h)))))))
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Outputs
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(/.f64 (+.f64 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) (.f64 3 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))) 48)
(+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12) (/.f64 (PI.f64) -12))
(+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24) (+.f64 (/.f64 (PI.f64) -12) (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24))))
(+.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(/.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12)
(-.f64 (+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12)) 0)
(+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(-.f64 (+.f64 (.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12)) (/.f64 (-.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 2 (PI.f64))) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))) 24))
(+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(-.f64 0 (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1/12) (.f64 (PI.f64) -1/6)))
(neg.f64 (-.f64 (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))) (.f64 (PI.f64) -1/6)))
(-.f64 (.f64 (PI.f64) -1/6) (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (.f64 (PI.f64) -1/6) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1/12))
(neg.f64 (-.f64 (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))) (.f64 (PI.f64) -1/6)))
(-.f64 (.f64 (PI.f64) -1/6) (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24)) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 24))
(-.f64 (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24)) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2)) 24))
(+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12) (/.f64 (*.f64 (PI.f64) 2) -24))
(-.f64 (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24)) (/.f64 (+.f64 (PI.f64) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2)) 12))
(+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24) (+.f64 (/.f64 (PI.f64) -12) (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24))))
(+.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(/.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12)
(-.f64 (.f64 (.f64 (PI.f64) -1/6) 2) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 -2 (PI.f64))) 12))
(-.f64 (.f64 2 (.f64 (PI.f64) -1/6)) (/.f64 (+.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12))
(-.f64 (.f64 (PI.f64) -1/3) (/.f64 (+.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12))
(-.f64 (/.f64 (PI.f64) -12) (+.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1/12) (/.f64 (PI.f64) 12)))
(+.f64 (/.f64 (PI.f64) -12) (-.f64 (/.f64 (PI.f64) -12) (*.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h))))))
(-.f64 (-.f64 (/.f64 (PI.f64) -12) (/.f64 (PI.f64) 12)) (*.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (/.f64 (.f64 (PI.f64) 8) -48) (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (/.f64 (PI.f64) -12) (+.f64 (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 24) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 24)))
(-.f64 (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24)) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2)) 24))
(+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12) (/.f64 (*.f64 (PI.f64) 2) -24))
(-.f64 (/.f64 (PI.f64) -12) (+.f64 (/.f64 (PI.f64) 12) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1/12)))
(+.f64 (/.f64 (PI.f64) -12) (-.f64 (/.f64 (PI.f64) -12) (*.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h))))))
(-.f64 (-.f64 (/.f64 (PI.f64) -12) (/.f64 (PI.f64) 12)) (*.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (/.f64 (.f64 (PI.f64) 8) -48) (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (/.f64 (PI.f64) -12) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1/12) (/.f64 (PI.f64) -12)))
(+.f64 (/.f64 (PI.f64) -12) (-.f64 (/.f64 (PI.f64) -12) (*.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h))))))
(-.f64 (-.f64 (/.f64 (PI.f64) -12) (/.f64 (PI.f64) 12)) (*.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (/.f64 (.f64 (PI.f64) 8) -48) (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (/.f64 (PI.f64) -12) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) 12))
(+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24) (+.f64 (/.f64 (PI.f64) -12) (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24))))
(+.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(/.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12)
(-.f64 (/.f64 (PI.f64) -12) (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2)) 24))
(-.f64 (/.f64 (PI.f64) -12) (/.f64 (+.f64 (.f64 (PI.f64) 2) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2)) 24))
(-.f64 (/.f64 (PI.f64) -12) (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h))))) 24))
(/.f64 (-.f64 (.f64 -2 (PI.f64)) (.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) 24)
(-.f64 (-.f64 (/.f64 (PI.f64) -12) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 24)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 24))
(-.f64 (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24)) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2)) 24))
(+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12) (/.f64 (*.f64 (PI.f64) 2) -24))
(-.f64 (-.f64 (/.f64 (PI.f64) -12) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1/12)) (/.f64 (PI.f64) 12))
(+.f64 (/.f64 (PI.f64) -12) (-.f64 (/.f64 (PI.f64) -12) (*.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h))))))
(-.f64 (-.f64 (/.f64 (PI.f64) -12) (/.f64 (PI.f64) 12)) (*.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (/.f64 (.f64 (PI.f64) 8) -48) (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))
(-.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12) (/.f64 (PI.f64) 12))
(+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24) (+.f64 (/.f64 (PI.f64) -12) (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24))))
(+.f64 (/.f64 (+.f64 (PI.f64) (PI.f64)) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(/.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 12)
(-.f64 (/.f64 (+.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) (neg.f64 (*.f64 (PI.f64) 4))) 24) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 24))
(/.f64 (-.f64 (+.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) (neg.f64 (*.f64 (PI.f64) 4))) (acos.f64 (/.f64 g (neg.f64 h)))) 24)
(/.f64 (-.f64 (-.f64 0 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 4))) (acos.f64 (/.f64 g (neg.f64 h)))) 24)
(/.f64 (-.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 4))) 24)
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 3) 24) 2) (/.f64 (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 24) 2))
(/.f64 (-.f64 (.f64 3 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2))) 48)
(/.f64 (+.f64 (/.f64 (PI.f64) -1/2) (-.f64 (.f64 3 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) (acos.f64 (/.f64 g (neg.f64 h))))) 48)
(-.f64 (/.f64 (.f64 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 3) 48) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 48))
(/.f64 (-.f64 (.f64 3 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2))) 48)
(/.f64 (+.f64 (/.f64 (PI.f64) -1/2) (-.f64 (.f64 3 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) (acos.f64 (/.f64 g (neg.f64 h))))) 48)
(-.f64 (/.f64 (+.f64 (.f64 (PI.f64) -1/6) (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24))) 2) (/.f64 (+.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1/12) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 24)) 2))
(/.f64 (-.f64 (+.f64 (.f64 (PI.f64) -1/6) (+.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -24))) (+.f64 (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2)) 24))) 2)
(/.f64 (-.f64 (+.f64 (.f64 (PI.f64) -1/6) (-.f64 (/.f64 (PI.f64) -12) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 24))) (+.f64 (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2)) 24))) 2)
(.f64 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 1/12)
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 (+.f64 (.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12)) 1)
(+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(.f64 1 (+.f64 (.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12)))
(+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(.f64 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) -2) 1/24)
(.f64 1/24 (.f64 -2 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2))))
(.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 (PI.f64) 2)) -1/12)
(.f64 (.f64 (+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12)) 2) 1/2)
(+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(.f64 (.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 4) 1/48)
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 1/2 (.f64 (+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12)) 2))
(+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 1/24 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) -2))
(.f64 1/24 (.f64 -2 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2))))
(.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 (PI.f64) 2)) -1/12)
(.f64 1/48 (.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 4))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 (/.f64 (.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 4) 12) 1/4)
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 (.f64 2 (.f64 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 4)) 1/96)
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (neg.f64 (/.f64 g h)))))
(.f64 1/12 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))
(pow.f64 (+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12)) 1)
(+.f64 (*.f64 (PI.f64) -1/6) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -12))
(neg.f64 (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1/12) (.f64 (PI.f64) -1/6)))
(neg.f64 (-.f64 (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))) (.f64 (PI.f64) -1/6)))
(-.f64 (.f64 (PI.f64) -1/6) (.f64 1/12 (acos.f64 (/.f64 g (neg.f64 h)))))

localize143.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 116 to 50 computations (56.9% saved)

series83.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
30.0ms	g	@	inf	(cos.f64 (/.f64 (-.f64 (*.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))) 3))
13.0ms	h	@	inf	(cos.f64 (/.f64 (-.f64 (*.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))) 3))
5.0ms	h	@	-inf	(+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))
2.0ms	g	@	0	(cos.f64 (/.f64 (-.f64 (*.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))) 3))
2.0ms	g	@	-inf	(cos.f64 (/.f64 (-.f64 (*.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))) 3))

rewrite824.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`rational_best-simplify-67`
594×	`rational_best-simplify-52`
548×	`rational_best-4`
548×	`rational_best-2`
548×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	210
1	138	210
2	347	144
3	1313	132

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

Inputs
(cos.f64 (/.f64 (-.f64 (*.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))) 3))
(+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))
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simplify1.7s (3.7%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational_best-simplify-57`
1138×	`rational_best-simplify-51`
1036×	`rational_best-simplify-3`
884×	`rational_best-simplify-66`
876×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	16065
1	1228	14775
2	3509	12585

Stop Event

1×	node limit

Counts

309 → 336

Calls

Call 1

Inputs
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(*.f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) -3/2)) 1)
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(.f64 1/2 (.f64 (.f64 -2 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) 1/3))
(.f64 1/3 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 2 (PI.f64))))
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(.f64 1/12 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 4))
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(.f64 (.f64 2 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 2 (PI.f64))) 4)) 1/24)
(pow.f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) -3/2)) 1)
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(.f64 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 4) 1/4)
(.f64 1/2 (.f64 -2 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))))
(/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 1)
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(/.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) -1)
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(/.f64 (.f64 2 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 4)) 8)
(/.f64 (+.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2) (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4) (neg.f64 (*.f64 (PI.f64) 4)))) 2)
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(pow.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 1)
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Outputs
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(cos.f64 (.f64 1/3 (-.f64 (.f64 2 (acos.f64 (.f64 -1 (/.f64 g h)))) (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (*.f64 -2 (PI.f64))))))
(cos.f64 (.f64 1/3 (-.f64 (.f64 2 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 -2 (PI.f64))))))
(cos.f64 (*.f64 1/3 (+.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(cos.f64 (.f64 1/3 (-.f64 (.f64 2 (acos.f64 (.f64 -1 (/.f64 g h)))) (+.f64 (.f64 -2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))))
(cos.f64 (.f64 1/3 (-.f64 (.f64 2 (acos.f64 (.f64 -1 (/.f64 g h)))) (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (*.f64 -2 (PI.f64))))))
(cos.f64 (.f64 1/3 (-.f64 (.f64 2 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 -2 (PI.f64))))))
(cos.f64 (*.f64 1/3 (+.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(cos.f64 (.f64 1/3 (-.f64 (.f64 2 (acos.f64 (.f64 -1 (/.f64 g h)))) (+.f64 (.f64 -2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))))
(cos.f64 (.f64 1/3 (-.f64 (.f64 2 (acos.f64 (.f64 -1 (/.f64 g h)))) (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (*.f64 -2 (PI.f64))))))
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(cos.f64 (.f64 1/3 (-.f64 (.f64 2 (acos.f64 (.f64 -1 (/.f64 g h)))) (+.f64 (.f64 -2 (PI.f64)) (acos.f64 (*.f64 -1 (/.f64 g h)))))))
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(-.f64 (.f64 2 (acos.f64 (.f64 -1 (/.f64 g h)))) (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (.f64 -2 (PI.f64))))
(-.f64 (.f64 2 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 -2 (PI.f64))))
(+.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
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(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(+.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) (acos.f64 (/.f64 g (neg.f64 h))))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))))
(+.f64 (+.f64 (*.f64 2 (acos.f64 (/.f64 g (neg.f64 h)))) (PI.f64)) (neg.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64))))
(-.f64 (.f64 2 (acos.f64 (.f64 -1 (/.f64 g h)))) (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (.f64 -2 (PI.f64))))
(-.f64 (.f64 2 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 -2 (PI.f64))))
(+.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(+.f64 (PI.f64) (+.f64 (+.f64 (*.f64 2 (acos.f64 (/.f64 g (neg.f64 h)))) (PI.f64)) (neg.f64 (acos.f64 (/.f64 g (neg.f64 h))))))
(-.f64 (.f64 2 (acos.f64 (.f64 -1 (/.f64 g h)))) (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (.f64 -2 (PI.f64))))
(-.f64 (.f64 2 (acos.f64 (neg.f64 (/.f64 g h)))) (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (.f64 -2 (PI.f64))))
(+.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(+.f64 (PI.f64) (/.f64 (-.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2)) 2))
(+.f64 (PI.f64) (/.f64 (-.f64 (.f64 2 (PI.f64)) (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h))))) 2))
(+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2) (+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2) (*.f64 2 (PI.f64))))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(+.f64 (-.f64 (PI.f64) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2)) (-.f64 (PI.f64) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2)))
(+.f64 (-.f64 (PI.f64) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -1/2)) (-.f64 (PI.f64) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -1/2)))
(+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2) (+.f64 (PI.f64) (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2)))
(+.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2) (+.f64 (PI.f64) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2)))
(+.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2) (+.f64 (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) -1/2)))
(+.f64 (+.f64 (PI.f64) (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2))
(+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2) (+.f64 (PI.f64) (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2)))
(+.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2) (+.f64 (PI.f64) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2)))
(+.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2) (+.f64 (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) -1/2)))
(+.f64 (+.f64 (PI.f64) (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2)) (neg.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2)))
(+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2) (+.f64 (PI.f64) (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2)))
(+.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2) (+.f64 (PI.f64) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2)))
(+.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2) (+.f64 (PI.f64) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) -1/2)))
(+.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 -2 (PI.f64)))) (acos.f64 (/.f64 g (neg.f64 h))))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(+.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (neg.f64 (PI.f64))) (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64))))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(+.f64 (-.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) (neg.f64 (PI.f64))) (neg.f64 (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2) (PI.f64))))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
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(-.f64 (*.f64 2 (acos.f64 (/.f64 g (neg.f64 h)))) (+.f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2) (PI.f64)) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2) (PI.f64))))
(-.f64 (PI.f64) (+.f64 (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2) (*.f64 2 (acos.f64 (/.f64 g (neg.f64 h))))) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2) (PI.f64))))
(+.f64 (-.f64 (PI.f64) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2)) (-.f64 (PI.f64) (-.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 2) (*.f64 2 (acos.f64 (/.f64 g (neg.f64 h)))))))
(+.f64 (-.f64 (-.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2)) (*.f64 2 (acos.f64 (/.f64 g (neg.f64 h))))) (acos.f64 (/.f64 g (neg.f64 h))))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(+.f64 (-.f64 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2) (PI.f64))) (PI.f64))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(+.f64 (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 -2 (PI.f64)))) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2))
(+.f64 (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4) (+.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))))
(+.f64 (/.f64 (-.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2)) 2) (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) 2))
(/.f64 (+.f64 (-.f64 (.f64 2 (PI.f64)) (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h))))) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (-.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))) 2)
(/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (+.f64 (-.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (.f64 2 (PI.f64)) (*.f64 -2 (acos.f64 (/.f64 g (neg.f64 h))))))) 2)
(/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (+.f64 (-.f64 (.f64 2 (PI.f64)) (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h))))) (-.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))) 2)
(+.f64 (/.f64 (-.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) 2) (/.f64 (+.f64 (.f64 2 (PI.f64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)) 2))
(/.f64 (+.f64 (-.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) (+.f64 (.f64 2 (PI.f64)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 2)
(/.f64 (+.f64 (.f64 2 (PI.f64)) (+.f64 (-.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 2)
(+.f64 (/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 2 (PI.f64))) 4) (/.f64 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 3) 4))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(+.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) 4) (/.f64 (-.f64 (.f64 -2 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) (acos.f64 (/.f64 g (neg.f64 h)))) 4))
(/.f64 (+.f64 (+.f64 (.f64 2 (PI.f64)) (+.f64 (.f64 2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))) (-.f64 (.f64 -2 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) (acos.f64 (/.f64 g (neg.f64 h))))) 4)
(/.f64 (+.f64 (+.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (.f64 (PI.f64) 4)) (-.f64 (.f64 -2 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) (acos.f64 (/.f64 g (neg.f64 h))))) 4)
(/.f64 (+.f64 (+.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (.f64 (PI.f64) 4)) (-.f64 (.f64 2 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 2 (PI.f64)))) (acos.f64 (/.f64 g (neg.f64 h))))) 4)
(+.f64 (-.f64 -1 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h))))) (-.f64 1 (*.f64 -2 (PI.f64))))
(+.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1) (-.f64 1 (*.f64 -2 (PI.f64))))
(+.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) -1) (-.f64 1 (*.f64 -2 (PI.f64))))
(+.f64 (-.f64 -1 (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 1 (+.f64 (.f64 -2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2))))
(+.f64 (-.f64 -1 (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 1 (+.f64 (.f64 -2 (PI.f64)) (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h)))))))
(+.f64 (-.f64 -1 (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 1 (*.f64 -2 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(+.f64 (-.f64 -1 (*.f64 -2 (PI.f64))) (-.f64 1 (neg.f64 (acos.f64 (/.f64 g (neg.f64 h))))))
(+.f64 (-.f64 -1 (*.f64 -2 (PI.f64))) (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) -1))
(+.f64 (-.f64 -1 (*.f64 -2 (PI.f64))) (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) 1))
(+.f64 (-.f64 -1 (+.f64 (.f64 -2 (PI.f64)) (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2))) (-.f64 1 (acos.f64 (/.f64 g (neg.f64 h)))))
(+.f64 (-.f64 -1 (+.f64 (.f64 -2 (PI.f64)) (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h)))))) (-.f64 1 (acos.f64 (/.f64 g (neg.f64 h)))))
(+.f64 (-.f64 -1 (*.f64 -2 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (-.f64 1 (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 2 (PI.f64))) 1)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(.f64 1 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 2 (PI.f64))))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(.f64 (.f64 -2 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) 1/2)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(.f64 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) -1)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(.f64 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 4) 1/4)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(.f64 1/2 (.f64 -2 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(/.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 1)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(/.f64 (.f64 -2 (-.f64 (.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))) 2)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(/.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) -1)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(/.f64 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (.f64 2 (PI.f64))) 4) 4)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(/.f64 (.f64 2 (.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 4)) 8)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(/.f64 (+.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2) (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4) (neg.f64 (*.f64 (PI.f64) 4)))) 2)
(/.f64 (+.f64 (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4) (neg.f64 (*.f64 (PI.f64) 4)))) 2)
(/.f64 (+.f64 (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4) (/.f64 (PI.f64) -1/4))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4)) (.f64 2 (.f64 -2 (-.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h))))))) 4)
(/.f64 (-.f64 (.f64 2 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4)) (.f64 (-.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) -4)) 4)
(/.f64 (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) 8) (.f64 (-.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))) -4)) 4)
(/.f64 (-.f64 (.f64 (acos.f64 (/.f64 g (neg.f64 h))) -2) (-.f64 (neg.f64 (.f64 (PI.f64) 4)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4))) 2)
(/.f64 (-.f64 (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h)))) (-.f64 (neg.f64 (.f64 (PI.f64) 4)) (*.f64 (acos.f64 (/.f64 g (neg.f64 h))) 4))) 2)
(/.f64 (-.f64 (.f64 4 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h))))) (neg.f64 (.f64 -2 (acos.f64 (/.f64 g (neg.f64 h)))))) 2)
(pow.f64 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64))) 1)
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))
(neg.f64 (-.f64 (*.f64 -2 (PI.f64)) (acos.f64 (/.f64 g (neg.f64 h)))))
(+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 2 (PI.f64)))

localize632.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (*.f64 (PI.f64) 4) 12)
✓	1.0b	(sin.f64 (/.f64 (*.f64 (PI.f64) 4) 12))
✓	1.6b	(cos.f64 (/.f64 (*.f64 (PI.f64) 4) 12))
✓	57.0b	(cos.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))

Compiler

Compiled 209 to 113 computations (45.9% saved)

series20.0ms (0%)

Counts

4 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	g	@	inf	(cos.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))
1.0ms	g	@	0	(cos.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))
1.0ms	g	@	-inf	(cos.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))
1.0ms	h	@	inf	(cos.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))
1.0ms	h	@	-inf	(cos.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))

rewrite660.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`rational_best-2`
1980×	`rational_best-3`
1980×	`rational_best-1`
464×	`rational_best-4`
464×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	154	92
2	355	92
3	1181	92
4	5892	92

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

Inputs
(cos.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))
(cos.f64 (/.f64 (*.f64 (PI.f64) 4) 12))
(sin.f64 (/.f64 (*.f64 (PI.f64) 4) 12))
(/.f64 (*.f64 (PI.f64) 4) 12)

Outputs
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simplify1.0s (2.3%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational_best-simplify-55`
938×	`rational_best-simplify-47`
862×	`rational_best-simplify-48`
784×	`rational_best-simplify-52`
778×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	6063
1	878	5137
2	2716	5105

Stop Event

1×	node limit

Counts

185 → 211

Calls

Call 1

Inputs
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
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(-.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) (+.f64 (.f64 (sin.f64 0) (sin.f64 (+.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) 4) -12)))) (neg.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) (sin.f64 0)))))
(-.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) (+.f64 (.f64 (sin.f64 0) (sin.f64 (+.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) 4) -12)))) (.f64 (sin.f64 0) (sin.f64 (+.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) 4) -12))))))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) (sin.f64 0)) (neg.f64 (sin.f64 (.f64 (*.f64 (PI.f64) 4) 1/12))))
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(.f64 (sin.f64 (.f64 (*.f64 (PI.f64) 4) 1/12)) 1)
(.f64 (sin.f64 (.f64 (*.f64 (PI.f64) 4) 1/12)) (cos.f64 0))
(.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 1 (sin.f64 (.f64 (*.f64 (PI.f64) 4) 1/12)))
(.f64 (.f64 2 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12))) 1/2)
(.f64 (.f64 2 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12))) (/.f64 (cos.f64 0) 2))
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(.f64 1/2 (.f64 2 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12))))
(.f64 1/2 (.f64 (.f64 2 (sin.f64 (.f64 (*.f64 (PI.f64) 4) 1/12))) (cos.f64 0)))
(.f64 (.f64 2 (.f64 2 (sin.f64 (.f64 (*.f64 (PI.f64) 4) 1/12)))) 1/4)
(.f64 (.f64 2 (.f64 2 (sin.f64 (.f64 (*.f64 (PI.f64) 4) 1/12)))) (/.f64 (cos.f64 0) 4))
(.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 8) 48)) (+.f64 (sin.f64 (/.f64 (.f64 (PI.f64) 8) 48)) (sin.f64 (/.f64 (.f64 (PI.f64) 8) 48))))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) 2)))
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(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) 1)
(/.f64 (.f64 2 (sin.f64 (.f64 (*.f64 (PI.f64) 4) 1/12))) 2)
(/.f64 (.f64 2 (.f64 2 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)))) (.f64 2 (.f64 2 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12))))) 8)
(/.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) (cos.f64 (-.f64 (.f64 (.f64 (PI.f64) 4) 1/12) (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) 1)
(cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) 4) -12)))
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(-.f64 (.f64 (.f64 (PI.f64) 4) 1/12) 0)
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(.f64 (.f64 (*.f64 (PI.f64) 8) 1/12) 1/2)
(.f64 (.f64 (PI.f64) 16) 1/48)
(.f64 1/2 (.f64 (*.f64 (PI.f64) 8) 1/12))
(.f64 1/12 (.f64 (PI.f64) 4))
(.f64 1/24 (.f64 (PI.f64) 8))
(.f64 1/48 (.f64 (PI.f64) 16))
(.f64 (/.f64 (.f64 (PI.f64) 16) 12) 1/4)
(.f64 (.f64 (*.f64 2 (PI.f64)) 16) 1/96)
(pow.f64 (.f64 (.f64 (PI.f64) 4) 1/12) 1)

Outputs
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(/.f64 (+.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) (cos.f64 (-.f64 (.f64 (.f64 (PI.f64) 4) 1/12) (*.f64 (PI.f64) 1/2)))) 2)
(/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (cos.f64 (-.f64 (.f64 (PI.f64) 1/3) (*.f64 (PI.f64) 1/2)))) 2)
(/.f64 (+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (cos.f64 (-.f64 (.f64 1/3 (PI.f64)) (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12)) 1)
(sin.f64 (.f64 (.f64 (PI.f64) 4) 1/12))
(sin.f64 (*.f64 (PI.f64) 1/3))
(sin.f64 (*.f64 1/3 (PI.f64)))
(cos.f64 (+.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 (PI.f64) 4) -12)))
(cos.f64 (+.f64 (/.f64 (.f64 (PI.f64) 4) -12) (.f64 (PI.f64) 1/2)))
(cos.f64 (+.f64 (/.f64 (.f64 (PI.f64) 8) -24) (.f64 (PI.f64) 1/2)))
(+.f64 (.f64 (.f64 (PI.f64) 4) 1/12) 0)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(+.f64 0 (.f64 (.f64 (PI.f64) 4) 1/12))
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(+.f64 (/.f64 (.f64 (PI.f64) 8) 48) (/.f64 (.f64 (PI.f64) 8) 48))
(/.f64 (+.f64 (.f64 (PI.f64) 8) (.f64 (PI.f64) 8)) 48)
(/.f64 (*.f64 (PI.f64) 16) 48)
(+.f64 (/.f64 (/.f64 (.f64 (PI.f64) 8) 48) 2) (/.f64 (/.f64 (.f64 (PI.f64) 12) 24) 2))
(/.f64 (+.f64 (.f64 (PI.f64) 8) (.f64 (PI.f64) 8)) 48)
(/.f64 (*.f64 (PI.f64) 16) 48)
(+.f64 (/.f64 (.f64 (PI.f64) 4) 48) (/.f64 (.f64 (PI.f64) 12) 48))
(/.f64 (+.f64 (.f64 (PI.f64) 8) (.f64 (PI.f64) 8)) 48)
(/.f64 (*.f64 (PI.f64) 16) 48)
(-.f64 (.f64 (.f64 (PI.f64) 4) 1/12) 0)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(-.f64 (/.f64 (.f64 (PI.f64) 8) 48) (/.f64 (.f64 (PI.f64) 4) -24))
(-.f64 (/.f64 (.f64 (PI.f64) 2) 12) (/.f64 (.f64 (PI.f64) 8) -48))
(-.f64 (/.f64 (.f64 (PI.f64) 8) 48) (/.f64 (-.f64 0 (.f64 2 (PI.f64))) 12))
(-.f64 (/.f64 (.f64 (PI.f64) 8) 48) (/.f64 (.f64 (PI.f64) 4) -24))
(-.f64 (/.f64 (.f64 (PI.f64) 2) 12) (/.f64 (.f64 (PI.f64) 8) -48))
(-.f64 (/.f64 (.f64 (PI.f64) 8) 48) (/.f64 (/.f64 (.f64 (PI.f64) 4) -12) 2))
(-.f64 (/.f64 (.f64 (PI.f64) 8) 48) (/.f64 (.f64 (PI.f64) 4) -24))
(-.f64 (/.f64 (.f64 (PI.f64) 2) 12) (/.f64 (.f64 (PI.f64) 8) -48))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) 12) 24) 2) (/.f64 (/.f64 (.f64 (PI.f64) 4) -24) 2))
(/.f64 (+.f64 (.f64 (PI.f64) 8) (.f64 (PI.f64) 8)) 48)
(/.f64 (*.f64 (PI.f64) 16) 48)
(-.f64 (/.f64 (.f64 (PI.f64) 12) 48) (/.f64 (neg.f64 (.f64 (PI.f64) 4)) 48))
(/.f64 (+.f64 (.f64 (PI.f64) 8) (.f64 (PI.f64) 8)) 48)
(/.f64 (*.f64 (PI.f64) 16) 48)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 (.f64 (*.f64 (PI.f64) 4) 1/12) 1)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 1 (.f64 (*.f64 (PI.f64) 4) 1/12))
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 (.f64 (PI.f64) 8) 1/24)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 (.f64 (*.f64 (PI.f64) 8) 1/12) 1/2)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 (.f64 (PI.f64) 16) 1/48)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 1/2 (.f64 (*.f64 (PI.f64) 8) 1/12))
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 1/12 (.f64 (PI.f64) 4))
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 1/24 (.f64 (PI.f64) 8))
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 1/48 (.f64 (PI.f64) 16))
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 (/.f64 (.f64 (PI.f64) 16) 12) 1/4)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(.f64 (.f64 (*.f64 2 (PI.f64)) 16) 1/96)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))
(pow.f64 (.f64 (.f64 (PI.f64) 4) 1/12) 1)
(.f64 (.f64 (PI.f64) 4) 1/12)
(*.f64 (PI.f64) 1/3)
(*.f64 1/3 (PI.f64))

eval2.9s (6.4%)

Compiler: Compiled 27224 to 16609 computations (39% saved)

prune1.6s (3.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	751	3	754
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	754	4	758

Error

0.0b

Counts

758 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (.f64 (+.f64 (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6))) (-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6))))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (sin.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6)))))
▶	0.0b	(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (cos.f64 (/.f64 (.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))) (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6)))))
✓	1.0b	(.f64 2 (cos.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h))) 3)))
▶	1.0b	(*.f64 2 (cos.f64 (+.f64 (/.f64 (PI.f64) 3) (+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) 3)))))

Compiler

Compiled 151 to 107 computations (29.1% saved)

localize165.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 88 to 45 computations (48.9% saved)

series20.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	h	@	-inf	(cos.f64 (+.f64 (/.f64 (PI.f64) 3) (+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) 3))))
4.0ms	g	@	0	(cos.f64 (+.f64 (/.f64 (PI.f64) 3) (+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) 3))))
1.0ms	g	@	inf	(cos.f64 (+.f64 (/.f64 (PI.f64) 3) (+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) 3))))
1.0ms	g	@	-inf	(cos.f64 (+.f64 (/.f64 (PI.f64) 3) (+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) 3))))
1.0ms	h	@	inf	(cos.f64 (+.f64 (/.f64 (PI.f64) 3) (+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) 3))))

rewrite685.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`rational_best-4`
660×	`rational_best-2`
660×	`rational_best-3`
660×	`rational_best-1`
660×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	106
1	122	100
2	370	98
3	1495	98

Stop Event

1×	node limit

Counts

4 → 210

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) 6) (/.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (PI.f64) 6) 2) (/.f64 (/.f64 (.f64 (PI.f64) 3) 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) 12) (/.f64 (.f64 (PI.f64) 3) 12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 6) (/.f64 (PI.f64) -6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 6) (/.f64 (/.f64 (PI.f64) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 6) (/.f64 (/.f64 (PI.f64) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 6) (/.f64 (.f64 -2 (PI.f64)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (PI.f64) 3) 6) 2) (/.f64 (/.f64 (PI.f64) -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (PI.f64) 3) 12) (/.f64 (neg.f64 (PI.f64)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (PI.f64) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (PI.f64) 1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) 4) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (.f64 (PI.f64) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/12 (.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (PI.f64) 4) 3) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (PI.f64) 4)) 1/24)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 1/3) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) (neg.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3))) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3)))) (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) 2) (/.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) 2) (/.f64 (cos.f64 (neg.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) 2) (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) 2) (.f64 (sin.f64 0) (sin.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)))) (-.f64 1 (.f64 (sin.f64 0) (sin.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 (sin.f64 0) (sin.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)))) (-.f64 1 (neg.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) (.f64 (sin.f64 0) (sin.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3)) (+.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3))) (.f64 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simplify862.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1420×	`rational_best-simplify-57`
1064×	`rational_best-simplify-51`
1010×	`rational_best-simplify-65`
918×	`rational_best-simplify-3`
910×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	469	12166
1	1209	11174
2	3271	10330

Stop Event

1×	node limit

Counts

282 → 297

Calls

Call 1

Inputs
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(-.f64 (.f64 -2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) (+.f64 (/.f64 (PI.f64) -3) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)))
(-.f64 (/.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) 2)) 6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -6))
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(-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (-.f64 (/.f64 (PI.f64) -6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6)))
(-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -6) (/.f64 (PI.f64) 6)))
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(-.f64 (-.f64 (/.f64 (PI.f64) 6) (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (/.f64 (PI.f64) 6))
(-.f64 (-.f64 (/.f64 (PI.f64) 6) (/.f64 (PI.f64) -3)) (-.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 3) (/.f64 (PI.f64) 6)))
(-.f64 (-.f64 (/.f64 (PI.f64) 6) (+.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3))) (-.f64 -1 (/.f64 (PI.f64) 6)))
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(-.f64 (-.f64 (/.f64 (PI.f64) 6) 1) (-.f64 (+.f64 -1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) (/.f64 (PI.f64) 6)))
(.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) 1)
(.f64 1 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3))
(*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3)
(.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 2) 1/6)
(.f64 (.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) 2) 1/2)
(.f64 1/2 (.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) 2))
(*.f64 1/3 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))
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(.f64 1/12 (+.f64 (.f64 (PI.f64) 4) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4)))
(.f64 (+.f64 (.f64 (PI.f64) 4) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4)) 1/12)
(.f64 (/.f64 (+.f64 (.f64 (PI.f64) 4) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4)) 3) 1/4)
(/.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) 1)
(/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 3)
(/.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 2) 6)
(/.f64 (.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) 2) 2)
(/.f64 (+.f64 (.f64 (PI.f64) 4) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4)) 12)
(/.f64 (/.f64 (+.f64 (.f64 (PI.f64) 4) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4)) 3) 4)
(/.f64 (+.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4) 3) (/.f64 (.f64 (PI.f64) 4) 3)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4)) (.f64 2 (.f64 (PI.f64) 4))) 24)
(/.f64 (+.f64 (/.f64 (.f64 (PI.f64) 4) 3) (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4) 3)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) 4)) (.f64 2 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4))) 24)
(pow.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) 1)
(+.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 0)
(+.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) (/.f64 (PI.f64) -3))
(+.f64 0 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3))
(+.f64 -1 (-.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)))
(+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6))
(+.f64 (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2)) (neg.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 (PI.f64) 2))))
(+.f64 (-.f64 (/.f64 (PI.f64) 6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) (/.f64 (PI.f64) -6))
(+.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (*.f64 (PI.f64) 1/3)))
(+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2)) (/.f64 (PI.f64) 2)) (neg.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3)))
(+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2))) (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)))
(+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3))) (neg.f64 (/.f64 (PI.f64) -3)))
(+.f64 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6) 2) (/.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 6) 2))
(+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 12) (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 12))
(+.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (*.f64 (PI.f64) 1/3)) (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6))
(+.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (/.f64 (PI.f64) 6)) (-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (/.f64 (PI.f64) 6)))
(+.f64 (-.f64 -1 (*.f64 (PI.f64) 1/3)) (-.f64 1 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3)))
(+.f64 (-.f64 -1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) 1)
(+.f64 (-.f64 -1 (-.f64 (*.f64 (PI.f64) 1/3) (/.f64 (PI.f64) 2))) (-.f64 1 (+.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 (PI.f64) 2))))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (-.f64 1 (*.f64 (PI.f64) 1/3)))
(+.f64 (-.f64 -1 (+.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 (PI.f64) 2))) (-.f64 1 (-.f64 (*.f64 (PI.f64) 1/3) (/.f64 (PI.f64) 2))))
(-.f64 (PI.f64) (+.f64 (+.f64 (/.f64 (PI.f64) 2) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) (/.f64 (PI.f64) 2)))
(-.f64 (*.f64 (PI.f64) 1/3) (/.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 3))
(-.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 0)
(-.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) (.f64 (PI.f64) 1/3))
(-.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) (-.f64 (/.f64 (PI.f64) 2) (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2))))
(-.f64 0 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3))
(-.f64 0 (+.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 (PI.f64) 2)) (-.f64 (*.f64 (PI.f64) 1/3) (/.f64 (PI.f64) 2))))
(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -6))
(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6) (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3) 2))
(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6) (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -2) 3))
(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6) (/.f64 (*.f64 -2 (acos.f64 (/.f64 (neg.f64 g) h))) 12))
(-.f64 (.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) 2) (.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 1/3))
(-.f64 (.f64 -2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3))
(-.f64 (/.f64 (PI.f64) 2) (+.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 (PI.f64) 2)) (*.f64 (PI.f64) 1/3)))
(-.f64 (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 6) (+.f64 (.f64 (PI.f64) 1/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -6)))
(-.f64 (-.f64 (/.f64 (PI.f64) 6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) (/.f64 (PI.f64) 6))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/3) (/.f64 (PI.f64) 2)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3) (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2))))
(-.f64 (-.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) (/.f64 (PI.f64) 2)) (-.f64 (/.f64 (PI.f64) -3) (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2))))
(-.f64 (-.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) (/.f64 (PI.f64) 2)) (-.f64 (.f64 (PI.f64) 1/3) (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) 3) (/.f64 (PI.f64) -3))
(-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (-.f64 (*.f64 (PI.f64) 1/3) (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6)))
(-.f64 (-.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/3) 2)) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3) (-.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/3) 2))))
(-.f64 (/.f64 (PI.f64) -6) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3) (/.f64 (PI.f64) -6)))
(-.f64 (-.f64 (/.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 6) (.f64 (PI.f64) 1/3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -6))
(-.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) (*.f64 (PI.f64) 1/3)) (/.f64 (PI.f64) -6))
(-.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 (PI.f64) 2))) (*.f64 (PI.f64) 1/3))
(-.f64 (/.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 6) 2) (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -6) 2))
(-.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 12) (/.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 12))
(-.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (*.f64 (PI.f64) 1/3)) (-.f64 0 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6)))
(-.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (/.f64 (PI.f64) 6)) (-.f64 (/.f64 (PI.f64) 6) (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6)))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)
(.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1)
(.f64 1 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3))
(.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/6)
(.f64 (.f64 -2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) 1/2)
(.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4) 1/12)
(.f64 1/2 (.f64 -2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 1/6 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(.f64 1/12 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4))
(.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4) 3) 1/4)
(.f64 (.f64 2 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4)) 1/24)
(pow.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1)

Outputs
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(-.f64 (/.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 6) (+.f64 (.f64 (PI.f64) 1/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -6)))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (/.f64 (PI.f64) 6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) (/.f64 (PI.f64) 6))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/3) (/.f64 (PI.f64) 2)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3) (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) (/.f64 (PI.f64) 2)) (-.f64 (/.f64 (PI.f64) -3) (+.f64 (/.f64 (PI.f64) -3) (/.f64 (PI.f64) 2))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3) (/.f64 (PI.f64) 2)) (-.f64 (.f64 (PI.f64) 1/3) (/.f64 (PI.f64) 2)))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) 3) (/.f64 (PI.f64) -3))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (-.f64 (*.f64 (PI.f64) 1/3) (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6)))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/3) 2)) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3) (-.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/3) 2))))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (/.f64 (PI.f64) -6) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3) (/.f64 (PI.f64) -6)))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (/.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)) 6) (.f64 (PI.f64) 1/3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -6))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) (*.f64 (PI.f64) 1/3)) (/.f64 (PI.f64) -6))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 (PI.f64) 2))) (*.f64 (PI.f64) 1/3))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (/.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 6) 2) (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -6) 2))
(/.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 12)
(/.f64 (*.f64 4 (acos.f64 (/.f64 (neg.f64 g) h))) 12)
(-.f64 (/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 12) (/.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 12))
(/.f64 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 12)
(/.f64 (*.f64 4 (acos.f64 (/.f64 (neg.f64 g) h))) 12)
(-.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (*.f64 (PI.f64) 1/3)) (-.f64 0 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6)))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (-.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6) (/.f64 (PI.f64) 6)) (-.f64 (/.f64 (PI.f64) 6) (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 6)))
(-.f64 (/.f64 (-.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (PI.f64)) 6) (/.f64 (-.f64 (PI.f64) (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))
(-.f64 (/.f64 (-.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (PI.f64)) 6) (+.f64 0 (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6))))
(+.f64 (/.f64 (-.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) (PI.f64)) 6) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 6))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1)
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 1 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/6)
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 (.f64 -2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)) 1/2)
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4) 1/12)
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 1/2 (.f64 -2 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3)))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(.f64 1/6 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 1/12 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4))
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 (/.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4) 3) 1/4)
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(.f64 (.f64 2 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 4)) 1/24)
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) 1)
(.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))

localize513.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (*.f64 (PI.f64) 4) 12)
✓	1.0b	(*.f64 (PI.f64) 1/3)
	1.6b	(cos.f64 (/.f64 (*.f64 (PI.f64) 4) 12))
	57.0b	(cos.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))

Compiler

Compiled 205 to 108 computations (47.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite761.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`rational_best-simplify-83`
1066×	`rational_best-simplify-51`
806×	`rational_best-simplify-57`
634×	`rational_best-simplify-63`
620×	`rational_best-simplify-64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	39	9
2	73	9
3	170	9
4	473	9
5	1740	9
6	7785	9

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/3) 1/2) (*.f64 (*.f64 (PI.f64) 1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 1/3) 1/2) (/.f64 (*.f64 (PI.f64) -1/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) 4) (/.f64 (*.f64 (PI.f64) 2/3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (*.f64 (PI.f64) 1/3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (*.f64 (PI.f64) 1/3) -2)) (/.f64 (*.f64 (PI.f64) 2/3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/3) 1/2) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8))) (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8))) (-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/3) (+.f64 (/.f64 (*.f64 (PI.f64) 1/3) -2) (*.f64 (*.f64 (PI.f64) 1/3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (PI.f64) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (PI.f64) 1/3) 1/2) (/.f64 (*.f64 (PI.f64) 1/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 4) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 4) (/.f64 (*.f64 (PI.f64) -1/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (neg.f64 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (*.f64 (PI.f64) 1/3) -2)) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8))) (-.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8)) (/.f64 (*.f64 (PI.f64) 2/3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 1/3) 8) (/.f64 (PI.f64) 4)) (neg.f64 (/.f64 (*.f64 (PI.f64) 1/3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (PI.f64) 8)) (-.f64 (/.f64 (*.f64 (PI.f64) -1/3) 8) (/.f64 (*.f64 (PI.f64) 2/3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 4/3) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) -1/3) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) 4/3) (*.f64 (PI.f64) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 4/3) 4) (*.f64 (*.f64 (PI.f64) 4/3) 4)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (PI.f64) -1/3))))))

simplify722.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational_best-simplify-75`
1146×	`rational_best-simplify-66`
1146×	`rational_best-simplify-76`
984×	`rational_best-simplify-1`
910×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	297
1	197	297
2	527	297
3	1975	297
4	7596	297

Stop Event

1×	node limit

Counts

33 → 34

Calls

Call 1

Inputs
(+.f64 (*.f64 (PI.f64) 1/3) 0)
(+.f64 0 (*.f64 (PI.f64) 1/3))
(+.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2) (.f64 (.f64 (PI.f64) 1/3) 1/2))
(+.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2) (/.f64 (*.f64 (PI.f64) -1/3) -2))
(+.f64 (/.f64 (PI.f64) 4) (/.f64 (*.f64 (PI.f64) 2/3) 8))
(+.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (PI.f64) 4))
(+.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (/.f64 (*.f64 (PI.f64) 1/3) -2)))
(+.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (/.f64 (.f64 (PI.f64) 1/3) -2)) (/.f64 (*.f64 (PI.f64) 2/3) 8))
(+.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2) (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))) (neg.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))))
(+.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))) (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))))
(-.f64 (*.f64 (PI.f64) 1/3) 0)
(-.f64 (.f64 (PI.f64) 1/3) (+.f64 (/.f64 (.f64 (PI.f64) 1/3) -2) (.f64 (.f64 (PI.f64) 1/3) 1/2)))
(-.f64 0 (*.f64 (PI.f64) -1/3))
(-.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2) (/.f64 (*.f64 (PI.f64) 1/3) -2))
(-.f64 (/.f64 (PI.f64) 4) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8)))
(-.f64 (/.f64 (PI.f64) 4) (/.f64 (*.f64 (PI.f64) -1/3) 4))
(-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (PI.f64) 4)))
(-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (neg.f64 (PI.f64)) 4))
(-.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (/.f64 (.f64 (PI.f64) 1/3) -2)) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8)))
(-.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))) (-.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8)) (/.f64 (.f64 (PI.f64) 2/3) 8)))
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) 1/3) 8) (/.f64 (PI.f64) 4)) (neg.f64 (/.f64 (.f64 (PI.f64) 1/3) 8)))
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (/.f64 (PI.f64) 8)) (-.f64 (/.f64 (.f64 (PI.f64) -1/3) 8) (/.f64 (*.f64 (PI.f64) 2/3) 8)))
(/.f64 (*.f64 (PI.f64) 1/3) 1)
(/.f64 (*.f64 (PI.f64) 2/3) 2)
(/.f64 (*.f64 (PI.f64) -1/3) -1)
(/.f64 (*.f64 (PI.f64) 4/3) 4)
(/.f64 (.f64 2 (.f64 (PI.f64) 4/3)) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4/3) 4) 16)
(/.f64 (/.f64 (*.f64 (PI.f64) -1/3) -2) 1/2)
(/.f64 (+.f64 (.f64 (PI.f64) 4/3) (.f64 (PI.f64) 4)) 16)
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) 4/3) 4) (.f64 (.f64 (PI.f64) 4/3) 4)) 32)
(pow.f64 (*.f64 (PI.f64) 1/3) 1)
(neg.f64 (*.f64 (PI.f64) -1/3))

Outputs
(+.f64 (*.f64 (PI.f64) 1/3) 0)
(*.f64 (PI.f64) 1/3)
(+.f64 0 (*.f64 (PI.f64) 1/3))
(*.f64 (PI.f64) 1/3)
(+.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2) (.f64 (.f64 (PI.f64) 1/3) 1/2))
(*.f64 (PI.f64) 1/3)
(+.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2) (/.f64 (*.f64 (PI.f64) -1/3) -2))
(*.f64 (PI.f64) 1/3)
(+.f64 (/.f64 (PI.f64) 4) (/.f64 (*.f64 (PI.f64) 2/3) 8))
(*.f64 (PI.f64) 1/3)
(+.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (PI.f64) 4))
(*.f64 (PI.f64) 1/3)
(+.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (/.f64 (*.f64 (PI.f64) 1/3) -2)))
(*.f64 (PI.f64) 1/3)
(+.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (/.f64 (.f64 (PI.f64) 1/3) -2)) (/.f64 (*.f64 (PI.f64) 2/3) 8))
(*.f64 (PI.f64) 1/3)
(+.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2) (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))) (neg.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))))
(*.f64 (PI.f64) 1/3)
(+.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))) (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))))
(*.f64 (PI.f64) 1/3)
(-.f64 (*.f64 (PI.f64) 1/3) 0)
(*.f64 (PI.f64) 1/3)
(-.f64 (.f64 (PI.f64) 1/3) (+.f64 (/.f64 (.f64 (PI.f64) 1/3) -2) (.f64 (.f64 (PI.f64) 1/3) 1/2)))
(*.f64 (PI.f64) 1/3)
(-.f64 0 (*.f64 (PI.f64) -1/3))
(*.f64 (PI.f64) 1/3)
(-.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2) (/.f64 (*.f64 (PI.f64) 1/3) -2))
(*.f64 (PI.f64) 1/3)
(-.f64 (/.f64 (PI.f64) 4) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8)))
(*.f64 (PI.f64) 1/3)
(-.f64 (/.f64 (PI.f64) 4) (/.f64 (*.f64 (PI.f64) -1/3) 4))
(*.f64 (PI.f64) 1/3)
(-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (PI.f64) 4)))
(*.f64 (PI.f64) 1/3)
(-.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8) (/.f64 (neg.f64 (PI.f64)) 4))
(*.f64 (PI.f64) 1/3)
(-.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (/.f64 (.f64 (PI.f64) 1/3) -2)) (neg.f64 (/.f64 (*.f64 (PI.f64) 2/3) 8)))
(*.f64 (PI.f64) 1/3)
(-.f64 (-.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8))) (-.f64 (neg.f64 (/.f64 (.f64 (PI.f64) 2/3) 8)) (/.f64 (.f64 (PI.f64) 2/3) 8)))
(*.f64 (PI.f64) 1/3)
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) 1/3) 8) (/.f64 (PI.f64) 4)) (neg.f64 (/.f64 (.f64 (PI.f64) 1/3) 8)))
(*.f64 (PI.f64) 1/3)
(-.f64 (+.f64 (/.f64 (.f64 (PI.f64) 2/3) 8) (/.f64 (PI.f64) 8)) (-.f64 (/.f64 (.f64 (PI.f64) -1/3) 8) (/.f64 (*.f64 (PI.f64) 2/3) 8)))
(*.f64 (PI.f64) 1/3)
(/.f64 (*.f64 (PI.f64) 1/3) 1)
(*.f64 (PI.f64) 1/3)
(/.f64 (*.f64 (PI.f64) 2/3) 2)
(*.f64 (PI.f64) 1/3)
(/.f64 (*.f64 (PI.f64) -1/3) -1)
(*.f64 (PI.f64) 1/3)
(/.f64 (*.f64 (PI.f64) 4/3) 4)
(*.f64 (PI.f64) 1/3)
(/.f64 (.f64 2 (.f64 (PI.f64) 4/3)) 8)
(*.f64 (PI.f64) 1/3)
(/.f64 (.f64 (.f64 (PI.f64) 4/3) 4) 16)
(*.f64 (PI.f64) 1/3)
(/.f64 (/.f64 (*.f64 (PI.f64) -1/3) -2) 1/2)
(*.f64 (PI.f64) 1/3)
(/.f64 (+.f64 (.f64 (PI.f64) 4/3) (.f64 (PI.f64) 4)) 16)
(*.f64 (PI.f64) 1/3)
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) 4/3) 4) (.f64 (.f64 (PI.f64) 4/3) 4)) 32)
(*.f64 (PI.f64) 1/3)
(pow.f64 (*.f64 (PI.f64) 1/3) 1)
(*.f64 (PI.f64) 1/3)
(neg.f64 (*.f64 (PI.f64) -1/3))
(*.f64 (PI.f64) 1/3)

localize714.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (*.f64 (PI.f64) 4) 12)
	1.0b	(sin.f64 (/.f64 (*.f64 (PI.f64) 4) 12))
	1.6b	(cos.f64 (/.f64 (*.f64 (PI.f64) 4) 12))
✓	5.5b	(-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)))

Compiler

Compiled 422 to 179 computations (57.6% saved)

series33.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	h	@	-inf	(-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)))
12.0ms	g	@	inf	(-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)))
2.0ms	g	@	-inf	(-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)))
2.0ms	g	@	0	(-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)))
2.0ms	h	@	inf	(-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)))

rewrite656.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`rational_best-simplify-1`
528×	`rational_best-4`
528×	`rational_best-2`
528×	`rational_best-3`
528×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	71
1	117	71
2	326	71
3	1233	71
4	7184	71

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (neg.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) (neg.f64 (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (sin.f64 (*.f64 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(acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 1/6)) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (-.f64 1 (sin.f64 0))) (neg.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)) (sin.f64 (*.f64 (PI.f64) 1/6)))) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 1/6)) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 1/6)) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)))) (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)) (sin.f64 (*.f64 (PI.f64) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 1/6)) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)))) (+.f64 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)) (sin.f64 (*.f64 (PI.f64) 1/6)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (+.f64 (/.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (neg.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (-.f64 (/.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2) (/.f64 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) (neg.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (*.f64 (cos.f64 (*.f64 (PI.f64) 1/6)) (sin.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)))) (neg.f64 (*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)) (sin.f64 (*.f64 (PI.f64) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (/.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2)) (neg.f64 (/.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (*.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))) (neg.f64 (*.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2) (/.f64 (+.f64 (neg.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) 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simplify618.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1332×	`rational_best-simplify-65`
1224×	`rational_best-simplify-67`
960×	`rational_best-simplify-49`
802×	`rational_best-simplify-3`
782×	`rational_best-simplify-75`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	6074
1	335	5764
2	757	5696
3	2627	5682

Stop Event

1×	node limit

Counts

72 → 74

Calls

Call 1

Inputs
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
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(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
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(+.f64 (-.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) (neg.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))
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(+.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (/.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2)) (neg.f64 (/.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2)))
(+.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))) (neg.f64 (*.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))))
(+.f64 (/.f64 (neg.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2) (/.f64 (+.f64 (neg.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2)) 2))
(+.f64 (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)) (sin.f64 (.f64 (PI.f64) 1/6)))) (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (.f64 (cos.f64 (.f64 (PI.f64) 1/6)) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)))))
(+.f64 (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 0))) (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))
(+.f64 (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) (/.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2))
(+.f64 (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 0))))
(+.f64 (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (.f64 (cos.f64 (.f64 (PI.f64) 1/6)) (sin.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)))) (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/6)) (sin.f64 (.f64 (PI.f64) 1/6)))))
(+.f64 (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))) (-.f64 (/.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2) (.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 12)))))
(+.f64 (-.f64 -1 (-.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)))) 1)
(.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 1)
(.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) (cos.f64 0))
(.f64 1 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))
(.f64 -1 (-.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))
(.f64 (-.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) -1)
(.f64 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2) 1/2)
(.f64 (cos.f64 0) (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))
(.f64 1/2 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2))
(.f64 (.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2)))
(/.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 1)
(/.f64 (-.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) -1)
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2) 2)
(/.f64 (.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2)) (.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2))) 8)
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2)) (.f64 2 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2))) 4)
(/.f64 (-.f64 (+.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -6))) (.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2)) 2)
(/.f64 (-.f64 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2) (-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -6)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)))) 2)
(pow.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 1)
(neg.f64 (-.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))

Outputs
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
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(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
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(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
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(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
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(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(/.f64 (-.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) -1)
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2) 2)
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(/.f64 (.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2)) 4)
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2)) (.f64 2 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2))) 8)
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2)) (.f64 2 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2))) 4)
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(/.f64 (-.f64 (+.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -6))) (.f64 (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) 2)) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -6))) (.f64 (sin.f64 (*.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) 2)) 2)
(-.f64 (/.f64 (+.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -6))) 2) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(/.f64 (-.f64 (.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 2) (-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -6)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)))) 2)
(/.f64 (-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -6)) (.f64 (-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) 2))) 2)
(-.f64 (-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) (/.f64 (-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -6)) (cos.f64 (*.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) 2))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (+.f64 (/.f64 (-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) -6)) (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))) 2) (sin.f64 (*.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (+.f64 (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (/.f64 (-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -6)) (cos.f64 (*.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h))))))) 2)))
(pow.f64 (-.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))) 1)
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))
(neg.f64 (-.f64 (sin.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/6))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))) (sin.f64 (.f64 1/6 (+.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))
(-.f64 (cos.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))) (sin.f64 (.f64 1/6 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))))

eval2.6s (5.7%)

Compiler: Compiled 39611 to 22330 computations (43.6% saved)

prune811.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	751	4	755
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	753	6	759

Error

Counts

759 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 180 to 134 computations (25.6% saved)

localize207.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 103 to 56 computations (45.6% saved)

series4.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite402.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`rational_best-2`
1474×	`rational_best-3`
1474×	`rational_best-1`
1472×	`rational_best-4`
1472×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	142
1	136	142
2	268	142
3	873	142
4	4689	142

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

Outputs
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simplify480.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

962×	`rational_best-simplify-47`
756×	`rational_best-simplify-55`
592×	`rational_best-simplify-65`
584×	`rational_best-simplify-48`
584×	`rational_best-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	201	9135
1	461	8679
2	1512	8679

Stop Event

1×	node limit

Counts

237 → 118

Calls

Call 1

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

localize373.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(sin.f64 (*.f64 (PI.f64) 1/3))
	1.0b	(*.f64 (PI.f64) 1/3)
✓	1.6b	(cos.f64 (*.f64 (PI.f64) 1/3))
✓	61.1b	(cos.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3))

Compiler

Compiled 159 to 71 computations (55.3% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite819.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational_best-4`
1568×	`rational_best-2`
1568×	`rational_best-3`
1568×	`rational_best-1`
1568×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	118	59
2	278	59
3	955	59
4	4947	59

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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simplify1.9s (4.1%)

Algorithm

1×	egg-herbie

Rules

1090×	`rational_best-simplify-55`
1028×	`rational_best-simplify-48`
956×	`rational_best-simplify-52`
902×	`rational_best-simplify-64`
788×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	4488
1	645	4242
2	1975	4164

Stop Event

1×	node limit

Counts

162 → 162

Calls

Call 1

Inputs
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64))))
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(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3)))) (.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2)))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 (PI.f64) 1/3)))))
(.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 1)
(.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (cos.f64 0))
(.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (*.f64 (cos.f64 0) (cos.f64 0)))
(.f64 1 (sin.f64 (.f64 (PI.f64) 1/3)))
(.f64 (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2) 1/2)
(.f64 (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2) (/.f64 (cos.f64 0) 2))
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) 1/3)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)) 1/4)
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)) (/.f64 (cos.f64 0) 4))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2) (+.f64 (cos.f64 0) (cos.f64 0)))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (*.f64 (PI.f64) 1/3)))
(.f64 1/4 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2))
(/.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 1)
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2) 2)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2))) 8)
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(pow.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 1)
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Outputs
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(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (*.f64 (PI.f64) 1/3)))
(cos.f64 (*.f64 1/3 (PI.f64)))
(.f64 1/4 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) 2)))
(cos.f64 (*.f64 1/3 (PI.f64)))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) 2)))
(cos.f64 (*.f64 1/3 (PI.f64)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (cos.f64 (.f64 (PI.f64) 1/3)) 2))
(cos.f64 (*.f64 1/3 (PI.f64)))
(.f64 (.f64 (cos.f64 0) (/.f64 (cos.f64 (*.f64 (PI.f64) 1/3)) 2)) 2)
(cos.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (cos.f64 (*.f64 (PI.f64) 1/3)) 1)
(cos.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) 2) 2)
(cos.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 (PI.f64) 1/3)) 2)) 4)
(cos.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (+.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3)))) 2)
(cos.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) 2)) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) 2))) 8)
(cos.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (+.f64 (+.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3)))) (+.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3))))) 4)
(cos.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) 2) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3))) (cos.f64 (.f64 (PI.f64) 1/3)))) 2)
(cos.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (-.f64 (+.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3)))) (-.f64 (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3))) (cos.f64 (.f64 (PI.f64) 1/3)))) 2)
(cos.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (.f64 (cos.f64 0) (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) 2))) 4)
(cos.f64 (*.f64 1/3 (PI.f64)))
(pow.f64 (cos.f64 (*.f64 (PI.f64) 1/3)) 1)
(cos.f64 (*.f64 1/3 (PI.f64)))
(+.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 0)
(sin.f64 (*.f64 1/3 (PI.f64)))
(+.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (.f64 (cos.f64 (*.f64 (PI.f64) 1/3)) (sin.f64 0)))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64)))))
(+.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (+.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0)) (.f64 (cos.f64 (*.f64 (PI.f64) 1/3)) (sin.f64 0))))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (+.f64 (cos.f64 (.f64 1/3 (PI.f64))) (cos.f64 (.f64 1/3 (PI.f64))))))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (.f64 2 (cos.f64 (.f64 1/3 (PI.f64))))))
(+.f64 0 (sin.f64 (*.f64 (PI.f64) 1/3)))
(sin.f64 (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0)) (sin.f64 (*.f64 (PI.f64) 1/3)))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64)))))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2) (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2))
(sin.f64 (*.f64 1/3 (PI.f64)))
(+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2) (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2) (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0))))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2))) (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2))))
(.f64 (sin.f64 (.f64 1/2 (.f64 1/3 (PI.f64)))) (+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (sin.f64 (*.f64 1/3 (PI.f64)))))
(.f64 (sin.f64 (.f64 (PI.f64) 1/6)) (.f64 2 (sin.f64 (.f64 1/3 (PI.f64)))))
(-.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 0)
(sin.f64 (*.f64 1/3 (PI.f64)))
(-.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (neg.f64 (.f64 (cos.f64 (*.f64 (PI.f64) 1/3)) (sin.f64 0))))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64)))))
(-.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2))))
(sin.f64 (*.f64 1/3 (PI.f64)))
(-.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (+.f64 (neg.f64 (.f64 (cos.f64 (*.f64 (PI.f64) 1/3)) (sin.f64 0))) 0))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64)))))
(-.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (+.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0))) (neg.f64 (.f64 (cos.f64 (*.f64 (PI.f64) 1/3)) (sin.f64 0)))))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (+.f64 (cos.f64 (.f64 1/3 (PI.f64))) (cos.f64 (.f64 1/3 (PI.f64))))))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (.f64 2 (cos.f64 (.f64 1/3 (PI.f64))))))
(-.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (+.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0))) (.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2)))))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64)))))
(-.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (+.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2))) 0))
(sin.f64 (*.f64 1/3 (PI.f64)))
(-.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (+.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0)))))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64)))))
(-.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (+.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2))) (.f64 (sin.f64 0) (sin.f64 (.f64 (*.f64 (PI.f64) 1/3) 1/2)))))
(sin.f64 (*.f64 1/3 (PI.f64)))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0)) (neg.f64 (sin.f64 (*.f64 (PI.f64) 1/3))))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64)))))
(-.f64 (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2) (/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) 1/3))) 2))
(sin.f64 (*.f64 1/3 (PI.f64)))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3)))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 (PI.f64) 1/3)))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 1/3 (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 1/3 (PI.f64))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/3 (PI.f64)))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 1/3 (PI.f64))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3)))) (+.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 (PI.f64) 1/3))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 1/3 (PI.f64))))) (+.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/3 (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 1/3 (PI.f64)))))))
(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 1/3 (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 1/3 (PI.f64)))))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64))))))
(-.f64 (.f64 (sin.f64 0) (.f64 2 (cos.f64 (.f64 1/3 (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 1/3 (PI.f64))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3)))) (+.f64 (.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 (PI.f64) 1/3))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 1/3 (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 1/3 (PI.f64))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/3 (PI.f64)))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 1/3 (PI.f64))))))
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2) (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0))) (-.f64 0 (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)))
(+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64)))))
(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3)))) (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (sin.f64 0)))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 (PI.f64) 1/3)))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 1/3 (PI.f64))))) (+.f64 (neg.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/3 (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 1/3 (PI.f64)))))))
(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 1/3 (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 1/3 (PI.f64)))))) (neg.f64 (.f64 (sin.f64 0) (cos.f64 (*.f64 1/3 (PI.f64))))))
(-.f64 (.f64 (sin.f64 0) (.f64 2 (cos.f64 (.f64 1/3 (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 1/3 (PI.f64))))))
(-.f64 (-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 (PI.f64) 1/3)))) (.f64 (sin.f64 0) (sin.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2)))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (.f64 (PI.f64) 1/3)))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (neg.f64 (.f64 1/3 (PI.f64))))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 1/3 (PI.f64))))))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 1/3 (PI.f64)))) (.f64 (sin.f64 (.f64 (PI.f64) 1/2)) (sin.f64 (neg.f64 (*.f64 1/3 (PI.f64))))))
(.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 1)
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (cos.f64 0))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (*.f64 (cos.f64 0) (cos.f64 0)))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 1 (sin.f64 (.f64 (PI.f64) 1/3)))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2) 1/2)
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2) (/.f64 (cos.f64 0) 2))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (cos.f64 0) (sin.f64 (.f64 (PI.f64) 1/3)))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)) 1/4)
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)) (/.f64 (cos.f64 0) 4))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2) (+.f64 (cos.f64 0) (cos.f64 0)))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (sin.f64 (*.f64 (PI.f64) 1/3)))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 1/4 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (/.f64 (cos.f64 0) 4) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)))
(sin.f64 (*.f64 1/3 (PI.f64)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2))
(sin.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 1)
(sin.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2) 2)
(sin.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 2)) 4)
(sin.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2)) (.f64 2 (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) 2))) 8)
(sin.f64 (*.f64 1/3 (PI.f64)))
(/.f64 (+.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (cos.f64 (/.f64 (neg.f64 (.f64 (PI.f64) 1/3)) 2))) 2)
(/.f64 (+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (cos.f64 (/.f64 (neg.f64 (.f64 1/3 (PI.f64))) 2))) 2)
(/.f64 (+.f64 (sin.f64 (.f64 1/3 (PI.f64))) (cos.f64 (/.f64 (.f64 1/3 (PI.f64)) -2))) 2)
(pow.f64 (sin.f64 (*.f64 (PI.f64) 1/3)) 1)
(sin.f64 (*.f64 1/3 (PI.f64)))
(cos.f64 (.f64 (.f64 (PI.f64) 1/3) 1/2))
(cos.f64 (.f64 1/2 (.f64 1/3 (PI.f64))))
(cos.f64 (*.f64 (PI.f64) 1/6))

localize645.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cos.f64 (.f64 1/3 (+.f64 (.f64 (PI.f64) 2) (acos.f64 (/.f64 (neg.f64 g) h)))))
✓	1.0b	(*.f64 1/3 (PI.f64))
✓	1.6b	(cos.f64 (*.f64 1/3 (PI.f64)))
✓	61.1b	(cos.f64 (*.f64 1/3 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))

Compiler

Compiled 282 to 135 computations (52.1% saved)

series12.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	h	@	-inf	(cos.f64 (.f64 1/3 (+.f64 (.f64 (PI.f64) 2) (acos.f64 (/.f64 (neg.f64 g) h)))))
0.0ms	g	@	0	(cos.f64 (*.f64 1/3 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))))
0.0ms	g	@	-inf	(cos.f64 (.f64 1/3 (+.f64 (.f64 (PI.f64) 2) (acos.f64 (/.f64 (neg.f64 g) h)))))
0.0ms	g	@	inf	(cos.f64 (.f64 1/3 (+.f64 (.f64 (PI.f64) 2) (acos.f64 (/.f64 (neg.f64 g) h)))))
0.0ms	g	@	0	(cos.f64 (.f64 1/3 (+.f64 (.f64 (PI.f64) 2) (acos.f64 (/.f64 (neg.f64 g) h)))))

rewrite499.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`rational_best-4`
1648×	`rational_best-2`
1648×	`rational_best-3`
1648×	`rational_best-1`
1646×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	141	94
2	294	94
3	1014	94
4	5137	94

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

Outputs
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simplify607.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1218×	`rational_best-simplify-47`
960×	`rational_best-simplify-49`
902×	`rational_best-simplify-65`
826×	`rational_best-simplify-51`
814×	`rational_best-simplify-67`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	269	5666
1	711	5332
2	2347	5332

Stop Event

1×	node limit

Counts

178 → 146

Calls

Call 1

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

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

localize580.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) -3)
	1.0b	(.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)))
	1.0b	(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2))))
✓	58.9b	(+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)))) (cos.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) -3)))

Compiler

Compiled 237 to 112 computations (52.7% saved)

series48.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	g	@	-inf	(+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)))) (cos.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) -3)))
17.0ms	h	@	0	(+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)))) (cos.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) -3)))
2.0ms	g	@	0	(+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)))) (cos.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) -3)))
2.0ms	h	@	inf	(+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)))) (cos.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) -3)))
2.0ms	g	@	inf	(+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)))) (cos.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) -3)))

rewrite560.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`rational_best-simplify-1`
536×	`rational_best-simplify-62`
488×	`rational_best-simplify-52`
478×	`rational_best-2`
478×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	106
1	148	106
2	338	106
3	1172	106
4	6358	106

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs

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

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

Outputs

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simplify1.5s (3.3%)

Algorithm

1×	egg-herbie

Rules

1218×	`rational_best-simplify-63`
806×	`rational_best-simplify-1`
650×	`rational_best-simplify-47`
596×	`rational_best-simplify-108`
556×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	8862
1	610	8460
2	1579	8412
3	6255	8388

Stop Event

1×	node limit

Counts

144 → 133

Calls

Call 1

Inputs
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(*.f64 (/.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) -6) 2)
(*.f64 -2 (/.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) 6))
(.f64 (.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -1/6) 1/2)
(.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -1/12)
(.f64 1/2 (.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -1/6))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(.f64 -1/6 (.f64 2 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64))))
(.f64 -1/12 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4))
(*.f64 (/.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) 3) -1)
(.f64 (/.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -3) 1/4)
(.f64 (.f64 2 (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4)) -1/24)
(.f64 1/4 (/.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -3))
(.f64 -1/24 (.f64 2 (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4)))
(pow.f64 (*.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) -1/3) 1)
(neg.f64 (/.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) 3))

Outputs
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(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 (.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -1/6) 1/2)
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -1/12)
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 1/2 (.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -1/6))
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 -1/6 (.f64 2 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64))))
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 -1/12 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4))
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(*.f64 (/.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) 3) -1)
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 (/.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -3) 1/4)
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 (.f64 2 (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4)) -1/24)
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 1/4 (/.f64 (.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4) -3))
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(.f64 -1/24 (.f64 2 (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) -4)))
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(pow.f64 (*.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) -1/3) 1)
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))
(neg.f64 (/.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) 3))
(.f64 -1/3 (-.f64 (acos.f64 (.f64 -1 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (neg.f64 (/.f64 g h))) (PI.f64)))
(*.f64 -1/3 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)))
(*.f64 1/3 (-.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))))

eval3.8s (8.4%)

Compiler: Compiled 35481 to 21023 computations (40.7% saved)

prune983.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	779	2	781
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	782	5	787

Error

Counts

787 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 124 to 104 computations (16.1% saved)

regimes293.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h))) 3)))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (+.f64 1 (+.f64 -1 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) 2)))))))
(.f64 2 (+.f64 1 (+.f64 -1 (-.f64 (+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2)))) -2) -2))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (PI.f64) 3) (+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) 3)))))
(.f64 2 (cos.f64 (/.f64 (-.f64 (.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))) 3)))
(.f64 2 (cos.f64 (-.f64 (/.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12))))
(.f64 2 (/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)))) (cos.f64 (*.f64 (-.f64 (acos.f64 (/.f64 g (neg.f64 h))) (PI.f64)) -1/3)))) 2))
(.f64 2 (/.f64 (-.f64 (.f64 2 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2))))) (+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (.f64 (PI.f64) 2)))) (cos.f64 (/.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (PI.f64)) -3)))) 2))
(.f64 2 (-.f64 (.f64 (cos.f64 (.f64 (PI.f64) 1/3)) (cos.f64 (.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3))) (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (*.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3)))))
(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (cos.f64 (/.f64 (.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))) (.f64 (sin.f64 (.f64 (PI.f64) 1/3)) (sin.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6)))))
(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (cos.f64 (/.f64 (.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (sin.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6)))))
(.f64 2 (/.f64 (-.f64 (cos.f64 (.f64 1/3 (+.f64 (.f64 (PI.f64) 2) (acos.f64 (/.f64 (neg.f64 g) h))))) (-.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (.f64 2 (.f64 (cos.f64 (.f64 1/3 (PI.f64))) (cos.f64 (.f64 1/3 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h))))))))) 2))
(.f64 2 (-.f64 (.f64 (cos.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (.f64 (+.f64 (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6))) (-.f64 (cos.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6)) (sin.f64 (/.f64 (+.f64 (PI.f64) (acos.f64 (/.f64 g (neg.f64 h)))) 6))))) (.f64 (sin.f64 (/.f64 (.f64 (PI.f64) 4) 12)) (sin.f64 (/.f64 (*.f64 2 (+.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 g) h)))) 6)))))

Outputs

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

Calls

9 calls:

49.0ms	(neg.f64 g)
37.0ms	g
33.0ms	(acos.f64 (/.f64 (neg.f64 g) h))
33.0ms	(/.f64 (neg.f64 g) h)
26.0ms	(cos.f64 (+.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 533 to 333 computations (37.5% saved)

regimes197.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (/.f64 (+.f64 (.f64 2 (PI.f64)) (acos.f64 (/.f64 (neg.f64 g) h))) 3)))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (+.f64 1 (+.f64 -1 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) 2)))))))
(.f64 2 (+.f64 1 (+.f64 -1 (-.f64 (+.f64 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 g (neg.f64 h))) (*.f64 (PI.f64) 2)))) -2) -2))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (PI.f64) 3) (+.f64 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3) (/.f64 (PI.f64) 3)))))
(.f64 2 (cos.f64 (/.f64 (-.f64 (.f64 2 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h)))) 3)))
(.f64 2 (cos.f64 (-.f64 (/.f64 (.f64 (-.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (PI.f64) -1/2)) 3) 12) (/.f64 (-.f64 (/.f64 (PI.f64) -1/2) (acos.f64 (/.f64 (neg.f64 g) h))) 12))))

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

Calls

9 calls:

47.0ms	(/.f64 (neg.f64 g) h)
31.0ms	g
22.0ms	h
17.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
17.0ms	(+.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 221 to 159 computations (28.1% saved)

regimes180.0ms (0.4%)

Accuracy

Total -0.6b remaining (-60%)

Threshold costs -0.6b (-60%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

9 calls:

40.0ms	(neg.f64 g)
36.0ms	h
32.0ms	g
28.0ms	(acos.f64 (/.f64 (neg.f64 g) h))
20.0ms	(+.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 171 to 132 computations (22.8% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	255

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Compiler

Compiled 84 to 64 computations (23.8% saved)

soundness689.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1520×	`rational_best-simplify-75`
1484×	`rational_best-simplify-76`
1420×	`rational_best-simplify-57`
1090×	`rational_best-simplify-56`
1064×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	44	45
2	102	45
3	284	45
4	932	45
5	4298	45
0	469	12166
1	1209	11174
2	3271	10330

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 85 to 58 computations (31.8% saved)

end212.0ms (0.5%)

Compiler: Compiled 80 to 52 computations (35% saved)

Details

analyze446.0ms (1%)

sample8.3s (18.3%)

preprocess174.0ms (0.4%)

simplify229.0ms (0.5%)

eval2.0ms (0%)

prune2.0ms (0%)

localize103.0ms (0.2%)

series28.0ms (0.1%)

rewrite369.0ms (0.8%)

simplify539.0ms (1.2%)

eval296.0ms (0.7%)

prune95.0ms (0.2%)

localize247.0ms (0.5%)

series48.0ms (0.1%)

rewrite261.0ms (0.6%)

simplify564.0ms (1.2%)

localize143.0ms (0.3%)

series83.0ms (0.2%)

rewrite824.0ms (1.8%)

simplify1.7s (3.7%)

localize632.0ms (1.4%)

series20.0ms (0%)

rewrite660.0ms (1.5%)

simplify1.0s (2.3%)

eval2.9s (6.4%)

prune1.6s (3.5%)

localize165.0ms (0.4%)

series20.0ms (0%)

rewrite685.0ms (1.5%)

simplify862.0ms (1.9%)

localize513.0ms (1.1%)

series0.0ms (0%)

rewrite761.0ms (1.7%)

simplify722.0ms (1.6%)

localize714.0ms (1.6%)

series33.0ms (0.1%)

rewrite656.0ms (1.4%)

simplify618.0ms (1.4%)

eval2.6s (5.7%)

prune811.0ms (1.8%)

localize207.0ms (0.5%)

series4.0ms (0%)

rewrite402.0ms (0.9%)

simplify480.0ms (1.1%)

localize373.0ms (0.8%)

series1.0ms (0%)

rewrite819.0ms (1.8%)

simplify1.9s (4.1%)

localize645.0ms (1.4%)

series12.0ms (0%)

rewrite499.0ms (1.1%)

simplify607.0ms (1.3%)

localize580.0ms (1.3%)

series48.0ms (0.1%)

rewrite560.0ms (1.2%)

simplify1.5s (3.3%)

eval3.8s (8.4%)

prune983.0ms (2.2%)

regimes293.0ms (0.6%)

regimes197.0ms (0.4%)

regimes180.0ms (0.4%)

simplify6.0ms (0%)

soundness689.0ms (1.5%)

end212.0ms (0.5%)

Profiling