Metrics for 2-ancestry mixing, negative discriminant

analyze409.0ms (3%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample4.2s (30.6%)

Results

3.6s	8256×	body	256	valid
556.0ms	1098×	body	256	invalid

Bogosity

preprocess231.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

558×	`fma-def`
142×	`associate-/r*`
96×	`div-sub`
90×	`associate-r`
74×	`associate-*r/`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	277
1	67	247
2	123	227
3	254	227
4	668	227
5	983	227
6	1059	227
7	1119	227
8	1159	227

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 95 to 58 computations (38.9% saved)

eval1.0ms (0%)

Compiler: Compiled 58 to 41 computations (29.3% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize290.0ms (2.1%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
✓	98.5%	(/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)
✓	98.5%	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
✓	98.5%	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	98.5%	(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	98.5%	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓	98.4%	(*.f64 2/3 (PI.f64))

Compiler

Compiled 125 to 57 computations (54.4% saved)

series13.0ms (0.1%)

Counts

7 → 144

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	h	@	-inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	0	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	h	@	inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms	g	@	-inf	(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite157.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`log1p-expm1-u`
424×	`expm1-udef`
424×	`log1p-udef`
240×	`associate-r`
174×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	219
1	376	195
2	5421	195

Stop Event

1×	node limit

Counts

7 → 184

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (*.f64 2/3 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(exp.f64 (log.f64 (*.f64 2/3 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (PI.f64))))
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))) (+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(.f64 1 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))
(.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (/.f64 1 (-.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))))
(/.f64 1 (/.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))))
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(expm1.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (.f64 (log.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))

simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1312×	`fma-def`
822×	`unswap-sqr`
728×	`distribute-rgt-in`
718×	`distribute-lft-in`
712×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	14142
1	556	13918
2	2047	13906

Stop Event

1×	node limit

Counts

328 → 137

Calls

Call 1

Inputs
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(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(.f64 1 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))
(.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (/.f64 1 (-.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))))
(/.f64 1 (/.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))) (neg.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
(pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (.f64 (log.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))

Outputs
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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))))
(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))))
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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 (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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(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27)) (fma.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 (pow.f64 (PI.f64) 2) -4/9)))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (/.f64 1 (-.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 -2/3 (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 1/3 (.f64 (acos.f64 (/.f64 g h)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27)) (fma.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 (pow.f64 (PI.f64) 2) -4/9)))
(/.f64 1 (/.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 -2/3 (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 1/3 (.f64 (acos.f64 (/.f64 g h)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27)) (fma.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 (pow.f64 (PI.f64) 2) -4/9)))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 -2/3 (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 1/3 (.f64 (acos.f64 (/.f64 g h)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27)) (fma.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 (pow.f64 (PI.f64) 2) -4/9)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 -2/3 (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 1/3 (.f64 (acos.f64 (/.f64 g h)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) -8/27 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27)) (fma.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)) (.f64 (pow.f64 (PI.f64) 2) -4/9)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))) (neg.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)))
(/.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (-.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) -1/9)) (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)))
(pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))

eval78.0ms (0.6%)

Compiler: Compiled 3250 to 2069 computations (36.3% saved)

prune24.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	135	4	139

Accuracy

98.5%

Counts

139 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶	96.5%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	96.5%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶	96.5%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 284 to 208 computations (26.8% saved)

localize1.8s (12.9%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	98.4%	(*.f64 2/3 (PI.f64))
✓	98.4%	(sin.f64 (*.f64 2/3 (PI.f64)))
✓	97.5%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	6.4%	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
✓	98.5%	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓	98.5%	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))
✓	98.5%	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
	98.4%	(*.f64 2/3 (PI.f64))

Compiler

Compiled 517 to 303 computations (41.4% saved)

series15.0ms (0.1%)

Counts

6 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	g	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
2.0ms	g	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
1.0ms	h	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
1.0ms	h	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
1.0ms	g	@	-inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))

rewrite132.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1067×	`log1p-expm1-u`
600×	`expm1-udef`
600×	`log1p-udef`
597×	`expm1-log1p-u`
244×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	210
1	359	160
2	4424	160

Stop Event

1×	node limit

Counts

6 → 141

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (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 2/3 (PI.f64))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 2/3 (PI.f64)))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1)
(.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64)))) 1)
(.f64 1 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64)))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (+.f64 (.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (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 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (.f64 2/3 (PI.f64))) (neg.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 1 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (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 2/3 (PI.f64))))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (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 2/3 (PI.f64))))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (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 2/3 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (neg.f64 (.f64 2/3 (PI.f64))))) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (neg.f64 (.f64 2/3 (PI.f64))))))
(.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))) 1)
(.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))
(.f64 (cbrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(.f64 (sqrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64)))) (sqrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (/.f64 1 (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 2/3 (PI.f64)) (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))))
(.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (/.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (neg.f64 (.f64 2/3 (PI.f64))))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 2/3 (PI.f64)) (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))))
(/.f64 1 (/.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (neg.f64 (.f64 2/3 (PI.f64)))) (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (*.f64 (pow.f64 (PI.f64) 2) 4/9))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 2/3 (PI.f64)) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (acos.f64 (/.f64 g h)) (.f64 1/3 (*.f64 2/3 (PI.f64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (neg.f64 (*.f64 2/3 (PI.f64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 8/27) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))) (neg.f64 (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 2/3 (PI.f64)) (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9))) (neg.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (neg.f64 (*.f64 2/3 (PI.f64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))
(pow.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))
(fma.f64 1 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) (cbrt.f64 (.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (sqrt.f64 (.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 2/3 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) 1) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) 1)
(.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 1)
(.f64 1 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2) (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(.f64 (sqrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) 3) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)) (+.f64 (.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64))))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64))))) (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (-.f64 (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 3))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(exp.f64 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64))))) 1)
(.f64 (cos.f64 (.f64 2/3 (PI.f64))) 1)
(.f64 1 (cos.f64 (.f64 2/3 (PI.f64))))
(.f64 (cbrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) 1)
(.f64 (sin.f64 (.f64 2/3 (PI.f64))) 1)
(.f64 1 (sin.f64 (.f64 2/3 (PI.f64))))
(.f64 (cbrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1964×	`fma-def`
1046×	`distribute-lft-in`
750×	`cancel-sign-sub-inv`
674×	`distribute-rgt-neg-in`
660×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	10943
1	674	10847
2	2765	10841

Stop Event

1×	node limit

Counts

237 → 173

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))))
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(+.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (.f64 2/3 (PI.f64))))))
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(.f64 (sqrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) 1)
(.f64 (sin.f64 (.f64 2/3 (PI.f64))) 1)
(.f64 1 (sin.f64 (.f64 2/3 (PI.f64))))
(.f64 (cbrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))

Outputs
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(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
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(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
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(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
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(*.f64 1/3 (acos.f64 (/.f64 g h)))
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(*.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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(*.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 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 3))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64))))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64))))
(exp.f64 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64))))
(exp.f64 (.f64 (log.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 1))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64))))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64))))) 1)
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 (cos.f64 (.f64 2/3 (PI.f64))) 1)
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 1 (cos.f64 (.f64 2/3 (PI.f64))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 (cbrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2))
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(.f64 (sqrt.f64 (cos.f64 (.f64 2/3 (PI.f64)))) (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 1)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 3)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2)
(cos.f64 (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 2))
(cos.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64))))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3))
(cos.f64 (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 2/3 (PI.f64)))) 1))
(cos.f64 (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) 1)
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 (sin.f64 (.f64 2/3 (PI.f64))) 1)
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 1 (sin.f64 (.f64 2/3 (PI.f64))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 (cbrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2))
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(.f64 (sqrt.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 1)
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 3)
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2)
(sin.f64 (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2))
(sin.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3))
(sin.f64 (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 2/3 (PI.f64)))) 1))
(sin.f64 (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))

eval598.0ms (4.4%)

Compiler: Compiled 38436 to 24569 computations (36.1% saved)

prune86.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	490	2	492
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	491	5	496

Accuracy

100.0%

Counts

496 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
▶	98.0%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	96.5%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	96.5%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
▶	98.0%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	96.5%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 428 to 308 computations (28% saved)

localize3.6s (25.9%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	98.4%	(sin.f64 (*.f64 2/3 (PI.f64)))
	97.5%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	6.3%	(log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
✓	4.9%	(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))
	98.4%	(*.f64 2/3 (PI.f64))
	98.4%	(sin.f64 (*.f64 2/3 (PI.f64)))
	97.5%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	4.9%	(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))

Compiler

Compiled 880 to 521 computations (40.8% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`log-prod`
771×	`log1p-expm1-u`
771×	`expm1-log1p-u`
734×	`fma-def`
424×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	111
1	235	111
2	3085	111

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Inputs

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

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

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

Outputs
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 0)
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(+.f64 0 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h)))))) (cos.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h))))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h)))))) (sin.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h))))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))) 1)
(.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 1)
(.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
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(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 0)
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(+.f64 0 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h)))))) (cos.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h))))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h)))))) (sin.f64 (/.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h))))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))) 1)
(.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 1)
(.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) 3)) (fma.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 3))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 1 (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 1 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 1 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))

simplify159.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

950×	`associate-r`
798×	`associate-/l*`
792×	`associate-l`
684×	`fma-def`
618×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	13025
1	279	12539
2	817	12539
3	4194	12311

Stop Event

1×	node limit

Counts

209 → 68

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

Outputs
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(cos.f64 (fma.f64 -1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
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(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(cos.f64 (fma.f64 -1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 1 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 1 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(cos.f64 (fma.f64 -1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(cos.f64 (fma.f64 -1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(cos.f64 (fma.f64 -1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))

eval1.0s (7.6%)

Compiler: Compiled 61132 to 39375 computations (35.6% saved)

prune129.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	683	0	683
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	683	5	688

Accuracy

100.0%

Counts

688 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	98.0%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	96.5%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 530 to 361 computations (31.9% saved)

regimes40.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

9 calls:

6.0ms	h
5.0ms	g
5.0ms	(neg.f64 g)
4.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(acos.f64 (/.f64 (neg.f64 g) h))

Results

Accuracy	Segments	Branch
98.5%	1	`g`
98.5%	1	`h`
98.5%	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
98.5%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
98.5%	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
98.5%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
98.5%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.5%	1	`(/.f64 (neg.f64 g) h)`
98.5%	1	`(neg.f64 g)`

Compiler

Compiled 397 to 273 computations (31.2% saved)

regimes28.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

9 calls:

5.0ms	(neg.f64 g)
4.0ms	g
4.0ms	h
3.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

Results

Accuracy	Segments	Branch
98.4%	1	`g`
98.4%	1	`h`
98.4%	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
98.4%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
98.4%	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
98.4%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
98.4%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.4%	1	`(/.f64 (neg.f64 g) h)`
98.4%	1	`(neg.f64 g)`

Compiler

Compiled 126 to 100 computations (20.6% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	h
3.0ms	g

Results

Accuracy	Segments	Branch
96.5%	1	`g`
96.5%	1	`h`

Compiler

Compiled 21 to 17 computations (19% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
10×	`+-commutative`
6×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	145
1	49	145
2	55	145
3	59	145
4	60	145

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

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

Compiler

Compiled 46 to 40 computations (13% saved)

soundness269.0ms (2%)

Rules

1214×	`log1p-expm1-u`
558×	`fma-def`
558×	`fma-def`
424×	`expm1-udef`
424×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	277
1	67	247
2	123	227
3	254	227
4	668	227
5	983	227
6	1059	227
7	1119	227
8	1159	227
0	25	219
1	376	195
2	5421	195
0	40	277
1	67	247
2	123	227
3	254	227
4	668	227
5	983	227
6	1059	227
7	1119	227
8	1159	227

Stop Event

1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 430 to 295 computations (31.4% saved)

end0.0ms (0%)

preprocess111.0ms (0.8%)

Compiler: Compiled 120 to 100 computations (16.7% saved)

analyze409.0ms (3%)

sample4.2s (30.6%)

preprocess231.0ms (1.7%)

eval1.0ms (0%)

prune3.0ms (0%)

localize290.0ms (2.1%)

series13.0ms (0.1%)

rewrite157.0ms (1.1%)

simplify142.0ms (1%)

eval78.0ms (0.6%)

prune24.0ms (0.2%)

localize1.8s (12.9%)

series15.0ms (0.1%)

rewrite132.0ms (1%)

simplify120.0ms (0.9%)

eval598.0ms (4.4%)

prune86.0ms (0.6%)

localize3.6s (25.9%)

series7.0ms (0%)

rewrite108.0ms (0.8%)

simplify159.0ms (1.2%)

eval1.0s (7.6%)

prune129.0ms (0.9%)

regimes40.0ms (0.3%)

regimes28.0ms (0.2%)

regimes7.0ms (0.1%)

simplify5.0ms (0%)

soundness269.0ms (2%)

end0.0ms (0%)

preprocess111.0ms (0.8%)

Profiling