Details

analyze242.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample2.7s (14.8%)

Results

2.2s	8256×	body	256	valid
436.0ms	1144×	body	256	invalid

Bogosity

preprocess14.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

104×	`rational_best-simplify-2`
50×	`rational_best-simplify-44`
16×	`rational_best-simplify-5`
16×	`rational_best-simplify-1`
8×	`trigometric-prior-simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	59	102
2	88	102
3	102	102
4	119	102
5	130	102
6	134	102
7	158	102
8	181	102
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 20 to 18 computations (10% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

58×	`rational_best-simplify-2`
28×	`rational_best-simplify-44`
10×	`rational_best-simplify-5`
8×	`rational_best-simplify-1`
4×	`trigometric-prior-simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	38	51
2	54	51
3	62	51
4	71	51
5	78	51
6	79	51
7	94	51
8	108	51

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 76 to 41 computations (46.1% saved)

series6.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite357.0ms (2%)

Algorithm

4×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

1548×	`rational_best-5`
1546×	`rational_best-4`
1546×	`rational_best-2`
1546×	`rational_best-3`
1546×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	122
1	137	122
2	500	122
3	1923	122
4	7917	122
0	8	15
1	58	15
2	182	15
3	693	15
4	2984	15
0	17	45
1	137	45
2	500	45
3	1922	45
4	7920	45
0	17	45
1	137	45
2	500	45
0	16	41
1	119	41
2	394	41
3	1540	41
4	6736	41
0	10	21
1	75	21
2	255	21
3	988	21
4	4276	21

Stop Event

1×	node limit
1×	node limit
1×	iter limit
1×	unsound
1×	node limit
1×	unsound

Counts

4 → 86

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 2 (PI.f64)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 2 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 2 (PI.f64)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (PI.f64)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (PI.f64)) 3) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 1 (/.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 2 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3))) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3))) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3))) (.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (.f64 2 (PI.f64)) 3)) (.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 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simplify300.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1632×	`rational_best-simplify-80`
1510×	`rational_best-simplify-78`
1296×	`rational_best-simplify-135`
1020×	`rational_best-simplify-2`
878×	`rational_best-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	179	4766
1	398	4622
2	1402	4622
3	5407	4622

Stop Event

1×	node limit

Counts

158 → 96

Calls

Call 1

Inputs
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(*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 1 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(*.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
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(.f64 (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
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(*.f64 (/.f64 1 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
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(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
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(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(neg.f64 (neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

eval50.0ms (0.3%)

Compiler: Compiled 3658 to 2335 computations (36.2% saved)

prune13.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Error

1.0b

Counts

97 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

1.6b

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

▶

1.0b

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

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 32 computations (52.2% saved)

series5.0ms (0%)

Counts

4 → 12

Calls

18 calls:

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

rewrite344.0ms (1.9%)

Algorithm

4×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

1392×	`rational_best-5`
1390×	`rational_best-4`
1390×	`rational_best-2`
1390×	`rational_best-3`
1390×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	131	104
2	484	104
3	1887	104
4	7745	104
0	6	9
1	44	9
2	149	9
3	610	9
4	2667	9
0	16	39
1	131	39
2	484	39
3	1886	39
4	7740	39
0	16	39
1	131	39
2	484	39
0	15	35
1	112	35
2	372	35
3	1497	35
4	6598	35
0	10	21
1	76	21
2	260	21
3	1023	21
4	4467	21

Stop Event

1×	node limit
1×	node limit
1×	iter limit
1×	unsound
1×	node limit
1×	unsound

Counts

4 → 52

Calls

Call 1

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

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

simplify215.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

840×	`rational_best-simplify-80`
758×	`rational_best-simplify-49`
756×	`rational_best-simplify-78`
732×	`rational_best-simplify-129`
714×	`rational_best-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	4294969216
1	240	4294969216
2	875	4294969216
3	3088	4294969216
4	7164	4294969216

Stop Event

1×	node limit

Counts

64 → 64

Calls

Call 1

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

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 200 to 117 computations (41.5% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	g	@	inf	(.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
0.0ms	g	@	0	(.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
0.0ms	h	@	inf	(.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
0.0ms	g	@	-inf	(.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
0.0ms	h	@	-inf	(.f64 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`rational_best-5`
1118×	`rational_best-2`
1118×	`rational_best-3`
1118×	`rational_best-1`
1116×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	95
1	158	95
2	645	95
3	2337	95

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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simplify325.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational_best-simplify-82`
1144×	`rational_best-simplify-80`
1106×	`rational_best-simplify-78`
1014×	`rational_best-simplify-50`
938×	`rational_best-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	38654710125
1	222	38654710077
2	368	38654710077
3	639	38654710077
4	2862	38654710077
5	6542	38654710077

Stop Event

1×	node limit

Counts

59 → 64

Calls

Call 1

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

eval469.0ms (2.6%)

Compiler: Compiled 21269 to 13671 computations (35.7% saved)

prune164.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	334	4	338
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	335	5	340

Error

0.0b

Counts

340 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 301 to 222 computations (26.2% saved)

localize528.0ms (2.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 421 to 248 computations (41.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`rational_best-5`
1104×	`rational_best-2`
1104×	`rational_best-3`
1104×	`rational_best-1`
1102×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	143
1	166	45
2	603	45
3	2255	45

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs

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

Outputs

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

simplify252.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

966×	`rational_best-simplify-129`
838×	`rational_best-simplify-2`
824×	`rational_best-simplify-24`
816×	`rational_best-simplify-78`
562×	`rational_best-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	4294969134
1	151	4294969086
2	538	4294969086
3	1322	4294969086
4	3717	4294969086
5	6938	4294969086

Stop Event

1×	node limit

Counts

44 → 26

Calls

Call 1

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

localize259.0ms (1.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 520 to 378 computations (27.3% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`rational_best-simplify-47`
1448×	`rational_best-5`
1448×	`rational_best-2`
1448×	`rational_best-3`
1448×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	227
1	187	101
2	687	101
3	2773	101

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify165.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1014×	`rational_best-simplify-78`
874×	`rational_best-simplify-80`
872×	`rational_best-simplify-47`
706×	`rational_best-simplify-1`
552×	`rational_best-simplify-132`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	4294969737
1	234	4294969689
2	608	4294969689
3	2314	4294969689
4	5277	4294969689

Stop Event

1×	node limit

Counts

67 → 51

Calls

Call 1

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

localize180.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 202 to 110 computations (45.5% saved)

localize238.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 358 to 215 computations (39.9% saved)

eval3.1s (17%)

Compiler: Compiled 118621 to 80082 computations (32.5% saved)

prune433.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1185	5	1190
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	1189	6	1195

Error

0.0b

Counts

1195 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 776 to 568 computations (26.8% saved)

localize111.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 359 to 207 computations (42.3% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 142 to 77 computations (45.8% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

994×	`rational_best-5`
994×	`rational_best-2`
994×	`rational_best-3`
994×	`rational_best-1`
992×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	143	45
2	509	45
3	1993	45
0	18	45
1	143	45

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify173.0ms (1%)

Algorithm

1×	egg-herbie

Rules

908×	`rational_best-simplify-43`
858×	`rational_best-simplify-78`
812×	`rational_best-simplify-2`
652×	`rational_best-simplify-80`
564×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	540
1	78	540
2	167	540
3	548	540
4	1579	540
5	2951	540
6	5493	540

Stop Event

1×	node limit

Counts

12 → 10

Calls

Call 1

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

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

localize114.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 409 to 233 computations (43% saved)

localize158.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 2/3 (PI.f64))
	1.0b	(.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (*.f64 2 (PI.f64)) 3))
	1.0b	(/.f64 1 (/.f64 (*.f64 2 (PI.f64)) 3))
	1.0b	(/.f64 (*.f64 2 (PI.f64)) 3)

Compiler

Compiled 495 to 356 computations (28.1% saved)

localize208.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 703 to 422 computations (40% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`rational_best-simplify-47`
1540×	`rational_best-5`
1540×	`rational_best-2`
1540×	`rational_best-3`
1540×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	351
1	200	45
2	800	45
3	3067	45

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

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

Outputs

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

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1230×	`rational_best-simplify-47`
1106×	`rational_best-simplify-2`
1038×	`rational_best-simplify-80`
922×	`rational_best-simplify-129`
914×	`rational_best-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	4294968639
1	89	4294968591
2	156	4294968591
3	321	4294968591
4	1120	4294968591
5	2565	4294968591
6	5139	4294968591

Stop Event

1×	node limit

Counts

33 → 17

Calls

Call 1

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

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

eval4.8s (26.3%)

Compiler: Compiled 170653 to 111725 computations (34.5% saved)

prune577.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1415	3	1418
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	1418	6	1424

Error

0.0b

Counts

1424 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 369 to 267 computations (27.6% saved)

regimes65.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

10.0ms	(neg.f64 g)
8.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
7.0ms	g
7.0ms	h
6.0ms	(/.f64 (neg.f64 g) h)

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 1049 to 687 computations (34.5% saved)

regimes44.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

13.0ms	h
7.0ms	(neg.f64 g)
5.0ms	g
4.0ms	(/.f64 (neg.f64 g) h)
2.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Results

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 345 to 235 computations (31.9% saved)

regimes37.0ms (0.2%)

Accuracy

Total -0.6b remaining (-57.4%)

Threshold costs -0.6b (-57.4%)

Counts

5 → 1

Calls

Call 1

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

Calls

9 calls:

10.0ms	(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(neg.f64 g)
4.0ms	h
4.0ms	g
4.0ms	(/.f64 (neg.f64 g) h)

Results

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

Compiler

Compiled 225 to 163 computations (27.6% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	427

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Compiler

Compiled 136 to 94 computations (30.9% saved)

soundness758.0ms (4.2%)

Algorithm

2×	egg-herbie

Rules

1632×	`rational_best-simplify-80`
1510×	`rational_best-simplify-78`
1296×	`rational_best-simplify-135`
1172×	`rational_best-simplify-82`
1144×	`rational_best-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	38654710125
1	222	38654710077
2	368	38654710077
3	639	38654710077
4	2862	38654710077
5	6542	38654710077
0	179	4766
1	398	4622
2	1402	4622
3	5407	4622

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 200 to 147 computations (26.5% saved)

end147.0ms (0.8%)

Compiler: Compiled 132 to 82 computations (37.9% saved)

Iter	Nodes	Cost
0	25	102
1	59	102
2	88	102
3	102	102
4	119	102
5	130	102
6	134	102
7	158	102
8	181	102
0	2	2

Iter	Nodes	Cost
0	25	102
1	59	102
2	88	102
3	102	102
4	119	102
5	130	102
6	134	102
7	158	102
8	181	102
0	2	2

Details

analyze242.0ms (1.3%)

sample2.7s (14.8%)

preprocess14.0ms (0.1%)

simplify16.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize27.0ms (0.1%)

series6.0ms (0%)

rewrite357.0ms (2%)

simplify300.0ms (1.7%)

eval50.0ms (0.3%)

prune13.0ms (0.1%)

localize23.0ms (0.1%)

series5.0ms (0%)

rewrite344.0ms (1.9%)

simplify215.0ms (1.2%)

localize62.0ms (0.3%)

series4.0ms (0%)

rewrite68.0ms (0.4%)

simplify325.0ms (1.8%)

eval469.0ms (2.6%)

prune164.0ms (0.9%)

localize528.0ms (2.9%)

series1.0ms (0%)

rewrite68.0ms (0.4%)

simplify252.0ms (1.4%)

localize259.0ms (1.4%)

series1.0ms (0%)

rewrite83.0ms (0.5%)

simplify165.0ms (0.9%)

localize180.0ms (1%)

localize238.0ms (1.3%)

eval3.1s (17%)

prune433.0ms (2.4%)

localize111.0ms (0.6%)

localize44.0ms (0.2%)

series2.0ms (0%)

rewrite56.0ms (0.3%)

simplify173.0ms (1%)

localize114.0ms (0.6%)

localize158.0ms (0.9%)

localize208.0ms (1.1%)

series2.0ms (0%)

rewrite72.0ms (0.4%)

simplify125.0ms (0.7%)

eval4.8s (26.3%)

prune577.0ms (3.2%)

regimes65.0ms (0.4%)

regimes44.0ms (0.2%)

regimes37.0ms (0.2%)

simplify5.0ms (0%)

soundness758.0ms (4.2%)

end147.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	25	102
1	59	102
2	88	102
3	102	102
4	119	102
5	130	102
6	134	102
7	158	102
8	181	102
0	2	2