Details

analyze104.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.6s (26.1%)

Results

1.4s	8256×	body	256	valid
176.0ms	1084×	body	256	invalid

preprocess24.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

32×	`fma-def_binary64`
16×	`sub-neg_binary64`
12×	`+-commutative_binary64`
12×	`div-sub_binary64`
10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	39	46
2	59	42
3	79	42
4	93	42
5	116	42
6	140	42
7	174	42
8	176	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 20 to 18 computations (10% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
7×	`sub-neg_binary64`
6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	26	23
2	40	21
3	51	21
4	58	21
5	70	21
6	82	21
7	98	21

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.0b

Counts

3 → 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)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(/.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)

series13.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

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

rewrite104.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`log-prod_binary64`
378×	`fma-def_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
268×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	326	44
2	4781	44

Stop Event

1×	node limit

Counts

4 → 192

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 0 (.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (PI.f64) 2/3))) (cbrt.f64 (exp.f64 (.f64 (PI.f64) 2/3))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (PI.f64) 2/3)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (/.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (PI.f64) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (PI.f64)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 2) (cbrt.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 2 (PI.f64)) 2)) (.f64 (cbrt.f64 (.f64 2 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) (sqrt.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) -2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/3 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/2 (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 2 (PI.f64)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 2/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))) (fma.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 (PI.f64) 2/3)) (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))) (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))) (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) 2/3))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 2/3) 2) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cos.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 (PI.f64) 2/3) 2) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sin.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))) (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))) (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)) (fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))) (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))) (fma.f64 (.f64 (sin.f64 (.f64 (PI.f64) 2/3)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 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simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def_binary64`
8×	`sub-neg_binary64`
5×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	1080
1	22	1080
2	32	1080
3	38	1080
4	44	1080
5	52	1080
6	60	1080
7	70	1080
8	78	1080
9	92	1080

Stop Event

1×

saturated

Counts

264 → 198

Calls

Call 1

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

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

eval78.0ms (1.3%)

Compiler: Compiled 4343 to 2800 computations (35.5% saved)

prune32.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	3	199

Error

0.0b

Counts

199 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(.f64 2 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))))
▶	0.8b	(.f64 2 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))))
▶	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Status

Error

Program

▶

1.7b

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

▶

0.8b

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

▶

1.0b

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

Compiler

Compiled 75 to 59 computations (21.3% saved)

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 59 to 31 computations (47.5% saved)

series12.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite96.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
352×	`pow-prod-down_binary64`
345×	`pow2_binary64`
291×	`fma-def_binary64`
240×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	263	41
2	3543	41

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) 1) (.f64 (.f64 (PI.f64) 2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) 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(2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (.f64 2 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (.f64 (PI.f64) 1/3) (.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 2/3 (.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (PI.f64)) 1/3 (.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 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Outputs

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

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
7×	`*-commutative_binary64`
2×	`associate-r_binary64`
2×	`associate-l_binary64`
2×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	984
1	22	984
2	37	984
3	46	984

Stop Event

1×

saturated

Counts

209 → 141

Calls

Call 1

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

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

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	1.0b	(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓	1.0b	(*.f64 (PI.f64) 2/3)

Compiler

Compiled 66 to 32 computations (51.5% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`log-prod_binary64`
366×	`pow2_binary64`
307×	`fma-def_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	298	35
2	4135	35

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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3) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (neg.f64 (*.f64 (PI.f64) 2/3))) (pow.f64 (*.f64 (PI.f64) 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 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2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) 2/3) 1 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (acos.f64 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#<rule egg-rr> (2) ((x fma.f64 (neg.f64 (acos.f64 (/.f64 g h))) -1/3 (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def_binary64`
8×	`sub-neg_binary64`
5×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	816
1	22	816
2	32	816
3	38	816
4	44	816
5	52	816
6	60	816
7	70	816
8	78	816
9	92	816

Stop Event

1×

saturated

Counts

166 → 122

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

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

localize150.0ms (2.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 206 to 123 computations (40.3% saved)

series1.2s (20%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
766.0ms	g	@	inf	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))
192.0ms	h	@	-inf	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))
86.0ms	g	@	-inf	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))
80.0ms	h	@	inf	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))
70.0ms	g	@	0	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))

rewrite163.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`prod-diff_binary64`
731×	`log-prod_binary64`
310×	`fma-def_binary64`
285×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	349	50
2	4091	50

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-*l/_binary64`
440×	`log-prod_binary64`
410×	`exp-prod_binary64`
389×	`exp-sum_binary64`
374×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	1200
1	42	1200
2	79	1200
3	138	1200
4	371	1200
5	1901	1200
6	4282	1200

Stop Event

1×	node limit

Counts

224 → 99

Calls

Call 1

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

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

eval556.0ms (9%)

Compiler: Compiled 26160 to 17117 computations (34.6% saved)

prune85.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	634	1	635
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	635	3	638

Error

0.0b

Counts

638 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

1.7b

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

✓

1.0b

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

▶

0.8b

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

Compiler

Compiled 64 to 53 computations (17.2% saved)

localize77.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 162 to 99 computations (38.9% saved)

series190.0ms (3.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
38.0ms	g	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3)))))))
34.0ms	h	@	inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3)))))))
33.0ms	h	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3)))))))
32.0ms	g	@	inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3)))))))
28.0ms	g	@	0	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) 2/3)))))))

rewrite142.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`prod-diff_binary64`
300×	`fma-def_binary64`
297×	`expm1-udef_binary64`
297×	`log1p-udef_binary64`
253×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	373	50
2	4290	50

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-*l/_binary64`
440×	`log-prod_binary64`
410×	`exp-prod_binary64`
389×	`exp-sum_binary64`
374×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	1200
1	42	1200
2	79	1200
3	138	1200
4	371	1200
5	1901	1200
6	4282	1200

Stop Event

1×	node limit

Counts

231 → 99

Calls

Call 1

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

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

eval207.0ms (3.3%)

Compiler: Compiled 10663 to 7347 computations (31.1% saved)

prune34.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	227	1	228
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	228	3	231

Error

0.0b

Counts

231 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

1.7b

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

✓

1.0b

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

▶

0.8b

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

Compiler

Compiled 65 to 54 computations (16.9% saved)

localize121.0ms (2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 220 to 132 computations (40% saved)

series8.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite126.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log-prod_binary64`
359×	`pow2_binary64`
333×	`fma-def_binary64`
249×	`pow1/3_binary64`
249×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	266	35
2	3529	35

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))) (/.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3) (*.f64 8/27 (pow.f64 (PI.f64) 3))) (/.f64 1 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)))) (/.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))) (fma.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3) (*.f64 8/27 (pow.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3) (*.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3) (*.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 4/9 (pow.f64 (PI.f64) 2) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)))) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))))) (#(struct:change 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(sin.f64 (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))))

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

122 → 122

Calls

Call 1

Inputs

Outputs

eval212.0ms (3.4%)

Compiler: Compiled 5753 to 3958 computations (31.2% saved)

prune40.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	138	3	141

Error

0.0b

Counts

141 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

1.7b

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

✓

1.0b

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

✓

0.8b

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

Compiler

Compiled 65 to 54 computations (16.9% saved)

regimes114.0ms (1.8%)

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

16.0ms	(acos.f64 (/.f64 (neg.f64 g) h))
10.0ms	(neg.f64 g)
10.0ms	g
10.0ms	(neg.f64 g)
10.0ms	h

Results

Error	Segments	Branch
0.8b	1	`g`
0.8b	1	`h`
0.8b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
0.8b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
0.8b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
0.8b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.8b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.8b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.8b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.8b	1	`(/.f64 (neg.f64 g) h)`
0.8b	1	`(/.f64 (neg.f64 g) h)`
0.8b	1	`(neg.f64 g)`
0.8b	1	`(neg.f64 g)`

Compiler

Compiled 257 to 189 computations (26.5% saved)

regimes57.0ms (0.9%)

Accuracy

Total -0.7b remaining (-74.2%)

Threshold costs -0.7b (-74.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

9 calls:

8.0ms	h
8.0ms	g
7.0ms	(neg.f64 g)
7.0ms	(/.f64 (neg.f64 g) h)
5.0ms	(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 126 to 100 computations (20.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	98
1	54	98
2	58	98
3	61	98
4	62	98

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 65 to 54 computations (16.9% saved)

soundness0.0ms (0%)

end47.0ms (0.8%)

Compiler: Compiled 61 to 46 computations (24.6% saved)

Iter	Nodes	Cost
0	14	816
1	22	816
2	32	816
3	38	816
4	44	816
5	52	816
6	60	816
7	70	816
8	78	816
9	92	816

Iter	Nodes	Cost
0	14	816
1	22	816
2	32	816
3	38	816
4	44	816
5	52	816
6	60	816
7	70	816
8	78	816
9	92	816

Details

analyze104.0ms (1.7%)

sample1.6s (26.1%)

preprocess24.0ms (0.4%)

simplify12.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize28.0ms (0.4%)

series13.0ms (0.2%)

rewrite104.0ms (1.7%)

simplify55.0ms (0.9%)

eval78.0ms (1.3%)

prune32.0ms (0.5%)

localize23.0ms (0.4%)

series12.0ms (0.2%)

rewrite96.0ms (1.5%)

simplify30.0ms (0.5%)

localize24.0ms (0.4%)

series4.0ms (0.1%)

rewrite89.0ms (1.4%)

simplify64.0ms (1%)

localize150.0ms (2.4%)

series1.2s (20%)

rewrite163.0ms (2.6%)

simplify98.0ms (1.6%)

eval556.0ms (9%)

prune85.0ms (1.4%)

localize77.0ms (1.2%)

series190.0ms (3.1%)

rewrite142.0ms (2.3%)

simplify95.0ms (1.5%)

eval207.0ms (3.3%)

prune34.0ms (0.5%)

localize121.0ms (2%)

series8.0ms (0.1%)

rewrite126.0ms (2%)

simplify17.0ms (0.3%)

eval212.0ms (3.4%)

prune40.0ms (0.6%)

regimes114.0ms (1.8%)

regimes57.0ms (0.9%)

simplify11.0ms (0.2%)

soundness0.0ms (0%)

end47.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	14	816
1	22	816
2	32	816
3	38	816
4	44	816
5	52	816
6	60	816
7	70	816
8	78	816
9	92	816