Details

analyze106.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.8s (30.8%)

Results

1.6s	8256×	body	256	valid
201.0ms	1163×	body	256	invalid

Bogosity

preprocess26.0ms (0.5%)

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)

simplify10.0ms (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))))

eval3.0ms (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 (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 76 to 41 computations (46.1% saved)

series12.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

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

rewrite107.0ms (1.8%)

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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simplify63.0ms (1.1%)

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	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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(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)))

eval85.0ms (1.5%)

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

prune30.0ms (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
▶	0.6b	(.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))))
▶	1.6b	(.f64 2 (cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))))

Status

Error

Program

▶

0.6b

(*.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))))

▶

1.6b

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

Compiler

Compiled 75 to 59 computations (21.3% saved)

localize22.0ms (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	(.f64 1/3 (+.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)))))

Compiler

Compiled 59 to 31 computations (47.5% saved)

series11.0ms (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	@	0	(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (.f64 2 (PI.f64)))))
1.0ms	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	@	-inf	(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (.f64 2 (PI.f64)))))

rewrite90.0ms (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
(cos.f64 (.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (.f64 2 (PI.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
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((#(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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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)))))))

simplify31.0ms (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
(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 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))))
(+.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
(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 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))
(+.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)))

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	1.0b	(+.f64 (*.f64 (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
0.0ms	g	@	0	(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)))
0.0ms	h	@	0	(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)))
0.0ms	h	@	inf	(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite91.0ms (1.6%)

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

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

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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))))))

simplify43.0ms (0.7%)

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)))

localize93.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)))))))
✓	0.0b	(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)

series374.0ms (6.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
85.0ms	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)))))))
53.0ms	h	@	inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))
36.0ms	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)))))))
32.0ms	g	@	0	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))
32.0ms	g	@	inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))

rewrite121.0ms (2.1%)

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: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	349	51
2	4092	51

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

Inputs

(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))))))

(+.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

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

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-*l/_binary64`
440×	`log-prod_binary64`
411×	`exp-prod_binary64`
392×	`exp-sum_binary64`
373×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	1296
1	42	1224
2	79	1224
3	138	1224
4	371	1224
5	1913	1224
6	4308	1224

Stop Event

1×	node limit

Counts

227 → 102

Calls

Call 1

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

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))))
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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))))
(+.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))))

eval480.0ms (8.2%)

Compiler: Compiled 23413 to 15305 computations (34.6% saved)

prune111.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	582	2	584
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	584	3	587

Error

0.0b

Counts

587 → 3

Alt Table

Click to see full alt table

Status

Error

Program

▶

0.6b

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

✓

1.0b

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

▶

1.6b

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

Compiler

Compiled 64 to 53 computations (17.2% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite84.0ms (1.4%)

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	39
1	266	39
2	3530	39

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	936
1	16	936
2	19	936

Stop Event

1×

saturated

Counts

194 → 127

Calls

Call 1

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

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

localize78.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 165 to 99 computations (40% saved)

series177.0ms (3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	h	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
32.0ms	g	@	inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
30.0ms	g	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
28.0ms	h	@	inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
28.0ms	g	@	0	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))))

rewrite161.0ms (2.8%)

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: 1 (0.0ms)

Iter	Nodes	Cost
0	18	54
1	373	51
2	4289	51

Stop Event

1×	node limit

Counts

3 → 260

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify94.0ms (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: 1 (0.0ms)

Iter	Nodes	Cost
0	20	1296
1	42	1224
2	79	1224
3	138	1224
4	371	1224
5	1901	1224
6	4282	1224

Stop Event

1×	node limit

Counts

332 → 200

Calls

Call 1

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

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

eval402.0ms (6.9%)

Compiler: Compiled 21422 to 14299 computations (33.3% saved)

prune69.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	451	1	452
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	452	3	455

Error

0.0b

Counts

455 → 3

Alt Table

Click to see full alt table

Status

Error

Program

▶

0.6b

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

✓

1.0b

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

✓

1.6b

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

Compiler

Compiled 63 to 52 computations (17.5% saved)

localize72.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 162 to 96 computations (40.7% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite99.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`log-prod_binary64`
324×	`fma-def_binary64`
301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
256×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	373	36
2	4565	36

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs

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

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

Outputs

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simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

670×	`log-prod_binary64`
440×	`exp-prod_binary64`
411×	`sqr-pow_binary64`
329×	`cube-prod_binary64`
309×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	1536
1	42	1536
2	75	1392
3	124	864
4	294	864
5	1222	864
6	2883	864
7	4920	864

Stop Event

1×	node limit

Counts

137 → 93

Calls

Call 1

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

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

eval252.0ms (4.3%)

Compiler: Compiled 11899 to 8031 computations (32.5% saved)

prune41.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	274	1	275
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	275	3	278

Error

0.0b

Counts

278 → 3

Alt Table

Click to see full alt table

Status

Error

Program

0.6b

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

✓

1.0b

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

✓

1.6b

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

Compiler

Compiled 60 to 49 computations (18.3% saved)

regimes54.0ms (0.9%)

Counts

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

Calls

13 calls:

6.0ms	(neg.f64 g)
6.0ms	g
5.0ms	(neg.f64 g)
5.0ms	h
5.0ms	(/.f64 (neg.f64 g) h)

Results

Error	Segments	Branch
0.6b	1	`g`
0.6b	1	`h`
0.6b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
0.6b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
0.6b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
0.6b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.6b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.6b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.6b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.6b	1	`(/.f64 (neg.f64 g) h)`
0.6b	1	`(/.f64 (neg.f64 g) h)`
0.6b	1	`(neg.f64 g)`
0.6b	1	`(neg.f64 g)`

Compiler

Compiled 295 to 212 computations (28.1% saved)

regimes52.0ms (0.9%)

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

Outputs

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

Calls

13 calls:

6.0ms	(neg.f64 g)
6.0ms	g
5.0ms	h
5.0ms	(/.f64 (neg.f64 g) h)
5.0ms	(neg.f64 g)

Results

Error	Segments	Branch
0.6b	1	`g`
0.6b	1	`h`
0.6b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
0.6b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
0.6b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
0.6b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.6b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.6b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.6b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.6b	1	`(/.f64 (neg.f64 g) h)`
0.6b	1	`(/.f64 (neg.f64 g) h)`
0.6b	1	`(neg.f64 g)`
0.6b	1	`(neg.f64 g)`

Compiler

Compiled 222 to 164 computations (26.1% saved)

regimes51.0ms (0.9%)

Counts

5 → 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 g h)) 1/3))))
(.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 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))

Outputs
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))

Calls

13 calls:

6.0ms	(neg.f64 g)
5.0ms	g
5.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
5.0ms	(neg.f64 g)
4.0ms	h

Results

Error	Segments	Branch
0.6b	1	`g`
0.6b	1	`h`
0.6b	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
0.6b	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
0.6b	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
0.6b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.6b	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
0.6b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.6b	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
0.6b	1	`(/.f64 (neg.f64 g) h)`
0.6b	1	`(/.f64 (neg.f64 g) h)`
0.6b	1	`(neg.f64 g)`
0.6b	1	`(neg.f64 g)`

Compiler

Compiled 192 to 144 computations (25% saved)

regimes33.0ms (0.6%)

Counts

4 → 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 g h)) 1/3))))
(.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:

5.0ms	h
5.0ms	(acos.f64 (/.f64 (neg.f64 g) h))
4.0ms	g
4.0ms	(neg.f64 g)
4.0ms	(/.f64 (neg.f64 g) h)

Results

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

Compiler

Compiled 139 to 108 computations (22.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 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 g h)) 1/3))))

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

Calls

2 calls:

4.0ms	g
3.0ms	h

Results

Error	Segments	Branch
1.6b	1	`g`
1.6b	1	`h`

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`*-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	41	189
1	61	189
2	65	189
3	68	189
4	69	189

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))))
(.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (.f64 1/3 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(.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 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))))
(.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (.f64 1/3 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(.f64 2 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(.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 125 to 100 computations (20% saved)

soundness0.0ms (0%)

end75.0ms (1.3%)

Compiler: Compiled 117 to 82 computations (29.9% 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

analyze106.0ms (1.8%)

sample1.8s (30.8%)

preprocess26.0ms (0.5%)

simplify10.0ms (0.2%)

eval3.0ms (0%)

prune1.0ms (0%)

localize28.0ms (0.5%)

series12.0ms (0.2%)

rewrite107.0ms (1.8%)

simplify63.0ms (1.1%)

eval85.0ms (1.5%)

prune30.0ms (0.5%)

localize22.0ms (0.4%)

series11.0ms (0.2%)

rewrite90.0ms (1.5%)

simplify31.0ms (0.5%)

localize27.0ms (0.5%)

series4.0ms (0.1%)

rewrite91.0ms (1.6%)

simplify43.0ms (0.7%)

localize93.0ms (1.6%)

series374.0ms (6.4%)

rewrite121.0ms (2.1%)

simplify102.0ms (1.7%)

eval480.0ms (8.2%)

prune111.0ms (1.9%)

localize22.0ms (0.4%)

series6.0ms (0.1%)

rewrite84.0ms (1.4%)

simplify21.0ms (0.4%)

localize78.0ms (1.3%)

series177.0ms (3%)

rewrite161.0ms (2.8%)

simplify94.0ms (1.6%)

eval402.0ms (6.9%)

prune69.0ms (1.2%)

localize72.0ms (1.2%)

series7.0ms (0.1%)

rewrite99.0ms (1.7%)

simplify99.0ms (1.7%)

eval252.0ms (4.3%)

prune41.0ms (0.7%)

regimes54.0ms (0.9%)

regimes52.0ms (0.9%)

regimes51.0ms (0.9%)

regimes33.0ms (0.6%)

regimes9.0ms (0.1%)

simplify12.0ms (0.2%)

soundness0.0ms (0%)

end75.0ms (1.3%)

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