Details

analyze103.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.6s (36.3%)

Results

1.4s	8256×	body	256	valid
167.0ms	1118×	body	256	invalid

preprocess21.0ms (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))))

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

1.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 33 to 29 computations (12.1% saved)

localize30.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
	1.0b	(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
	1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
	0.0b	(acos.f64 (/.f64 (neg.f64 g) h))
✓	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 (0.3%)

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

rewrite100.0ms (2.3%)

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	4776	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 (pow.f64 (cbrt.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 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))) (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 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))) (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 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))) (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))))))))) (#(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 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))) 2) (cbrt.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))) (sqrt.f64 (cos.f64 (.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))))))))) (#(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 (sin.f64 (.f64 (PI.f64) 2/3)) 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simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

264 → 198

Calls

Call 1

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

localize26.0ms (0.6%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 60 to 27 computations (55% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite72.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
304×	`pow2_binary64`
266×	`pow-prod-down_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	261	36
2	3356	36

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

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

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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 g h)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 g h)))) 2))))))

simplify52.0ms (1.2%)

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	1008
1	22	1008
2	32	1008
3	38	1008
4	44	1008
5	52	1008
6	60	1008
7	70	1008
8	78	1008
9	92	1008

Stop Event

1×

saturated

Counts

193 → 127

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))))
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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 (.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)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))
(acos.f64 (*.f64 -1 (/.f64 g h)))

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

eval146.0ms (3.4%)

Compiler: Compiled 7477 to 4667 computations (37.6% saved)

prune50.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	352	4	356
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	353	5	358

Error

0.0b

Counts

358 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(*.f64 2 (cos.f64 (+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	2.2b	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
✓	1.0b	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	1.2b	(.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))))))))

Compiler

Compiled 97 to 82 computations (15.5% saved)

localize82.0ms (1.9%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 165 to 99 computations (40% saved)

series375.0ms (8.6%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
104.0ms	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)))))))
82.0ms	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)))))))
72.0ms	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)))))))
43.0ms	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)))))))
39.0ms	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)))))))

rewrite112.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	61
1	373	61
2	4285	61

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

Inputs
(*.f64 (acos.f64 (/.f64 g h)) 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)))))
(+.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)))))))

Outputs
((#(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 (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3) 1/3)))) (#(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 sqrt.f64 (.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (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 (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3))))) (#(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))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 +.f64 (.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))) (.f64 2/3 (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 1/2 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))) (.f64 1/2 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))) (#(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 (fma.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.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 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.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 (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 (.f64 (cos.f64 (.f64 (PI.f64) 2/3)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.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 (pow.f64 (.f64 2/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))) 2) (.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3))))) (/.f64 (pow.f64 (.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))) 2) (.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 -.f64 (.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 (PI.f64) 2/3))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2/3) 1)) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 (.f64 (PI.f64) 2/3) 1)) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))) (#(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 2 (.f64 1/2 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 (PI.f64) 2/3)))))))) 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simplify96.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-*l/_binary64`
442×	`log-prod_binary64`
416×	`exp-sum_binary64`
410×	`exp-prod_binary64`
388×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	1464
1	42	1464
2	79	1464
3	138	1464
4	365	1464
5	1794	1464
6	4134	1464

Stop Event

1×	node limit

Counts

271 → 116

Calls

Call 1

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

localize23.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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	g	@	inf	(cos.f64 (+.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)))
0.0ms	g	@	inf	(+.f64 (.f64 (PI.f64) 2/3) (.f64 (acos.f64 (/.f64 g h)) 1/3))

rewrite75.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	266	35
2	3526	35

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

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

simplify19.0ms (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	720
1	16	720
2	19	720

Stop Event

1×

saturated

Counts

170 → 126

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 (.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)))

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

localize26.0ms (0.6%)

Local error

Found 8 expressions with local error:

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

2 → 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	h	@	0	(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	h	@	-inf	(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	h	@	inf	(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms	g	@	-inf	(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite71.0ms (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	34
1	298	30
2	4130	30

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

150 → 106

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

localize32.0ms (0.7%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 78 to 43 computations (44.9% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite97.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`prod-diff_binary64`
304×	`fma-def_binary64`
288×	`expm1-udef_binary64`
288×	`log1p-udef_binary64`
179×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	344	30
2	4723	30

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.4%)

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

157 → 113

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)))

eval464.0ms (10.6%)

Compiler: Compiled 22952 to 15144 computations (34% saved)

prune98.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	726	1	727
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	727	5	732

Error

0.0b

Counts

732 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(*.f64 2 (cos.f64 (+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	2.2b	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
▶	1.2b	(.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))))) 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 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 98 to 83 computations (15.3% saved)

localize109.0ms (2.5%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 224 to 133 computations (40.6% saved)

series4.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite69.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log-prod_binary64`
360×	`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	30
1	266	30
2	3525	30

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

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

Outputs

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simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

79 → 79

Calls

Call 1

Inputs

Outputs

eval82.0ms (1.9%)

Compiler: Compiled 3883 to 2685 computations (30.9% saved)

prune16.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	93	5	98

Error

0.0b

Counts

98 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(*.f64 2 (cos.f64 (+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	2.2b	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
✓	1.2b	(.f64 2 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))))) 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 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 98 to 83 computations (15.3% saved)

regimes38.0ms (0.9%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

9 calls:

5.0ms	(neg.f64 g)
5.0ms	g
5.0ms	h
5.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Results

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

Compiler

Compiled 218 to 160 computations (26.6% saved)

regimes29.0ms (0.7%)

Accuracy

Total -1.2b remaining (-118.9%)

Threshold costs -1.2b (-118.9%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.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:

4.0ms	(neg.f64 g)
4.0ms	h
4.0ms	g
3.0ms	(/.f64 (neg.f64 g) h)
2.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Results

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

Compiler

Compiled 126 to 100 computations (20.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
4×	`+-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	25	65
1	37	65
2	41	65
3	44	65
4	45	65

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

end36.0ms (0.8%)

Stop Event

1×

done

Compiler

Compiled 88 to 71 computations (19.3% 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

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

analyze103.0ms (2.4%)

sample1.6s (36.3%)

preprocess21.0ms (0.5%)

simplify10.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize30.0ms (0.7%)

series12.0ms (0.3%)

rewrite100.0ms (2.3%)

simplify63.0ms (1.4%)

localize26.0ms (0.6%)

series8.0ms (0.2%)

rewrite72.0ms (1.6%)

simplify52.0ms (1.2%)

eval146.0ms (3.4%)

prune50.0ms (1.2%)

localize82.0ms (1.9%)

series375.0ms (8.6%)

rewrite112.0ms (2.6%)

simplify96.0ms (2.2%)

localize23.0ms (0.5%)

series5.0ms (0.1%)

rewrite75.0ms (1.7%)

simplify19.0ms (0.4%)

localize26.0ms (0.6%)

series4.0ms (0.1%)

rewrite71.0ms (1.6%)

simplify42.0ms (1%)

localize32.0ms (0.7%)

series8.0ms (0.2%)

rewrite97.0ms (2.2%)

simplify60.0ms (1.4%)

eval464.0ms (10.6%)

prune98.0ms (2.2%)

localize109.0ms (2.5%)

series4.0ms (0.1%)

rewrite69.0ms (1.6%)

simplify7.0ms (0.2%)

eval82.0ms (1.9%)

prune16.0ms (0.4%)

regimes38.0ms (0.9%)

regimes29.0ms (0.7%)

simplify4.0ms (0.1%)

end36.0ms (0.8%)

Profiling

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

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