Metrics for 2-ancestry mixing, negative discriminant

analyze85.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.7s (49.4%)

Results

1.5s	8256×	body	256	valid
141.0ms	1138×	body	256	invalid

Bogosity

preprocess166.0ms (4.8%)

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 (0.1%)

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))))
▶	98.5%	(.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))))
▶	98.5%	(.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)

localize156.0ms (4.6%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(acos.f64 (/.f64 g (neg.f64 h)))
✓	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)

series11.0ms (0.3%)

Counts

8 → 168

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	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)))

rewrite196.0ms (5.7%)

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	240
1	376	212
2	5421	212

Stop Event

1×	node limit

Counts

8 → 207

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))
(acos.f64 (/.f64 g (neg.f64 h)))

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

simplify162.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1826×	`fma-def`
1144×	`unswap-sqr`
960×	`cancel-sign-sub-inv`
644×	`distribute-lft-neg-in`
638×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	15233
1	646	15017
2	2822	15005

Stop Event

1×	node limit

Counts

375 → 172

Calls

Call 1

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

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

eval79.0ms (2.3%)

Compiler: Compiled 3965 to 2490 computations (37.2% saved)

prune41.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	171	3	174

Accuracy

98.5%

Counts

174 → 3

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))))
▶	95.3%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.5%	(.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))))
▶	95.3%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.5%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 92 to 80 computations (13% saved)

localize81.0ms (2.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	98.5%	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))
✓	98.5%	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓	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 59 to 32 computations (45.8% saved)

series3.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite97.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`log1p-expm1-u`
1108×	`expm1-log1p-u`
724×	`fma-def`
396×	`expm1-udef`
396×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	93
1	214	93
2	2904	93

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

simplify141.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def`
754×	`fma-neg`
700×	`log-prod`
662×	`unswap-sqr`
552×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	8497
1	528	8205
2	1598	8075
3	6116	8055

Stop Event

1×	node limit

Counts

175 → 124

Calls

Call 1

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

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

eval68.0ms (2%)

Compiler: Compiled 3618 to 2288 computations (36.8% saved)

prune32.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

98.5%

Counts

141 → 3

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))))

✓

95.3%

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

✓

98.5%

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

Compiler

Compiled 104 to 84 computations (19.2% saved)

regimes33.0ms (1%)

Counts

4 → 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))))

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	g
4.0ms	(neg.f64 g)
4.0ms	h
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
4.0ms	(/.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 139 to 110 computations (20.9% saved)

regimes32.0ms (0.9%)

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:

7.0ms	g
4.0ms	(neg.f64 g)
4.0ms	h
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
3.0ms	(/.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 126 to 100 computations (20.6% saved)

regimes6.0ms (0.2%)

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:

3.0ms	g
3.0ms	h

Results

Accuracy	Segments	Branch
95.3%	1	`g`
95.3%	1	`h`

Compiler

Compiled 21 to 17 computations (19% saved)

simplify4.0ms (0.1%)

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)

soundness281.0ms (8.2%)

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	240
1	376	212
2	5421	212
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%)

preprocess55.0ms (1.6%)

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

analyze85.0ms (2.5%)

sample1.7s (49.4%)

preprocess166.0ms (4.8%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize156.0ms (4.6%)

series11.0ms (0.3%)

rewrite196.0ms (5.7%)

simplify162.0ms (4.7%)

eval79.0ms (2.3%)

prune41.0ms (1.2%)

localize81.0ms (2.4%)

series3.0ms (0.1%)

rewrite97.0ms (2.8%)

simplify141.0ms (4.1%)

eval68.0ms (2%)

prune32.0ms (0.9%)

regimes33.0ms (1%)

regimes32.0ms (0.9%)

regimes6.0ms (0.2%)

simplify4.0ms (0.1%)

soundness281.0ms (8.2%)

end0.0ms (0%)

preprocess55.0ms (1.6%)

Profiling