Metrics for 2-ancestry mixing, negative discriminant

analyze86.0ms (1.1%)

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)

sample1.6s (21%)

Results

1.4s	8256×	body	256	valid
152.0ms	1142×	body	256	invalid

Bogosity

preprocess140.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def`
136×	`associate-/r*`
96×	`div-sub`
90×	`associate-r`
76×	`distribute-lft-neg-in`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	383
1	81	341
2	152	313
3	292	313
4	708	313
5	1027	313
6	1108	313
7	1172	313
8	1212	313

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

localize133.0ms (1.8%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.9%	(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	98.5%	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓	98.5%	(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) 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 54 computations (56.8% saved)

series12.0ms (0.2%)

Counts

7 → 144

Calls

36 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)))

rewrite180.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1159×	`log1p-expm1-u`
1016×	`expm1-log1p-u`
404×	`expm1-udef`
404×	`log1p-udef`
156×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	219
1	289	195
2	3520	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 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

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))))
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(/.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))))

simplify135.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1378×	`fma-def`
808×	`unswap-sqr`
728×	`distribute-rgt-in`
718×	`distribute-lft-in`
708×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	14170
1	555	13946
2	2049	13934

Stop Event

1×	node limit

Counts

328 → 139

Calls

Call 1

Inputs
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(.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))))

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))))
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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 (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))
(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 (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))))
(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 (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))))
(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 (.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 (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 (acos.f64 (/.f64 g h)) (.f64 1/3 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (.f64 (pow.f64 (PI.f64) 3) -8/27)) (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (.f64 (acos.f64 (/.f64 g h)) (.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)) -1/3))))
(.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 (acos.f64 (/.f64 g h)) (.f64 1/3 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (.f64 (pow.f64 (PI.f64) 3) -8/27)) (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (.f64 (acos.f64 (/.f64 g h)) (.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)) -1/3))))
(/.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 (acos.f64 (/.f64 g h)) (.f64 1/3 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (.f64 (pow.f64 (PI.f64) 3) -8/27)) (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (.f64 (acos.f64 (/.f64 g h)) (.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)) -1/3))))
(/.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 (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 (acos.f64 (/.f64 g h)) (.f64 1/3 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (.f64 (pow.f64 (PI.f64) 3) -8/27)) (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (.f64 (acos.f64 (/.f64 g h)) (.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)) -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 (-.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 (acos.f64 (/.f64 g h)) (.f64 1/3 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (.f64 (pow.f64 (PI.f64) 3) -8/27)) (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (.f64 (acos.f64 (/.f64 g h)) (.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 (PI.f64) -2/3)) -1/3))))
(/.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)))

eval71.0ms (0.9%)

Compiler: Compiled 3769 to 2389 computations (36.6% saved)

prune28.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	169	3	172

Accuracy

98.5%

Counts

172 → 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 (neg.f64 g) h)) 3))))
▶	96.2%	(.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 (neg.f64 g) h)) 3))))
▶	96.2%	(.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)

localize107.0ms (1.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	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))))
✓	98.5%	(+.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)

series4.0ms (0%)

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	g	@	0	(+.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	@	0	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))
0.0ms	h	@	-inf	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))

rewrite95.0ms (1.3%)

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

Outputs
(-.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)))
(+.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))))))
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(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)))

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def`
754×	`fma-neg`
702×	`log-prod`
662×	`unswap-sqr`
554×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	8497
1	528	8205
2	1596	8075
3	6115	8055

Stop Event

1×	node limit

Counts

175 → 126

Calls

Call 1

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

Outputs
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
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(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 (.f64 1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
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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))))
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(*.f64 1/3 (acos.f64 (/.f64 g h)))
(exp.f64 (.f64 (log.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
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eval63.0ms (0.8%)

Compiler: Compiled 3671 to 2321 computations (36.8% saved)

prune27.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	139	4	143

Accuracy

98.5%

Counts

143 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 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 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	96.2%	(.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))))
▶	96.2%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 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 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	96.2%	(.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 284 to 208 computations (26.8% saved)

localize770.0ms (10.2%)

Localize:

Found 4 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)))
✓	6.8%	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))

Compiler

Compiled 452 to 277 computations (38.7% saved)

series14.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	g	@	0	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
3.0ms	g	@	inf	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
2.0ms	h	@	inf	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
2.0ms	h	@	0	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
2.0ms	h	@	-inf	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))

rewrite99.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`log1p-expm1-u`
865×	`expm1-log1p-u`
586×	`fma-def`
512×	`expm1-udef`
512×	`log1p-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	117
1	279	67
2	3549	63

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Inputs

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

(cos.f64 (*.f64 2/3 (PI.f64)))

(sin.f64 (*.f64 2/3 (PI.f64)))

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

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

940×	`unswap-sqr`
910×	`log-prod`
800×	`fma-def`
582×	`*-commutative`
574×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	6035
1	532	5921
2	1751	5841
3	6547	5769

Stop Event

1×	node limit

Counts

101 → 102

Calls

Call 1

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

eval486.0ms (6.5%)

Compiler: Compiled 30385 to 19464 computations (35.9% saved)

prune63.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	307	5	312

Accuracy

99.9%

Counts

312 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.4%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 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 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (log.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
▶	97.7%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 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 (sin.f64 (.f64 2/3 (PI.f64))) (sin.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))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	96.2%	(.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))))
▶	95.4%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 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 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (log.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
▶	97.7%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 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 (sin.f64 (.f64 2/3 (PI.f64))) (sin.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))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	96.2%	(.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 426 to 306 computations (28.2% saved)

localize1.4s (19.2%)

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)))
✓	6.8%	(log.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))))
✓	5.6%	(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))
	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)))
✓	5.6%	(cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))

Compiler

Compiled 845 to 511 computations (39.5% saved)

series14.0ms (0.2%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	g	@	inf	(cos.f64 (-.f64 (.f64 2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
3.0ms	h	@	inf	(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))
1.0ms	g	@	0	(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))
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)))))

rewrite104.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`fma-def`
922×	`log1p-expm1-u`
922×	`expm1-log1p-u`
508×	`expm1-udef`
508×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	115
1	307	111
2	4028	111

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

(cos.f64 (-.f64 (*.f64 2/3 (PI.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))))

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

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

simplify136.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-/l*`
744×	`fma-def`
638×	`associate-/r*`
608×	`distribute-neg-frac`
572×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	6439
1	313	6283
2	1286	6239
3	5777	6105

Stop Event

1×	node limit

Counts

127 → 81

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

Outputs
(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 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 -2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
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(cos.f64 (+.f64 (.f64 -2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
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(cos.f64 (+.f64 (.f64 -2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))
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eval946.0ms (12.6%)

Compiler: Compiled 58007 to 37441 computations (35.5% saved)

prune120.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	666	1	667
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	667	5	672

Accuracy

99.9%

Counts

672 → 5

Alt Table

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Status	Accuracy	Program
	96.2%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 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 (sin.f64 (.f64 2/3 (PI.f64))) (sin.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))))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
✓	97.7%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 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 (sin.f64 (.f64 2/3 (PI.f64))) (sin.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))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	96.2%	(.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 612 to 410 computations (33% saved)

regimes55.0ms (0.7%)

Counts

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

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

Calls

9 calls:

16.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
7.0ms	(neg.f64 g)
5.0ms	h
5.0ms	g
5.0ms	(/.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 479 to 322 computations (32.8% saved)

regimes28.0ms (0.4%)

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

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 (0.1%)

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:

3.0ms	h
3.0ms	g

Results

Accuracy	Segments	Branch
96.2%	1	`g`
96.2%	1	`h`

Compiler

Compiled 21 to 17 computations (19% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`+-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	145
1	43	145
2	47	145
3	50	145
4	51	145

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

soundness260.0ms (3.4%)

Rules

1159×	`log1p-expm1-u`
1016×	`expm1-log1p-u`
574×	`fma-def`
574×	`fma-def`
404×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	383
1	81	341
2	152	313
3	292	313
4	708	313
5	1027	313
6	1108	313
7	1172	313
8	1212	313
0	21	219
1	289	195
2	3520	195
0	42	383
1	81	341
2	152	313
3	292	313
4	708	313
5	1027	313
6	1108	313
7	1172	313
8	1212	313

Stop Event

1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 337 to 229 computations (32% saved)

end0.0ms (0%)

preprocess50.0ms (0.7%)

Compiler: Compiled 120 to 94 computations (21.7% saved)

analyze86.0ms (1.1%)

sample1.6s (21%)

preprocess140.0ms (1.9%)

eval1.0ms (0%)

prune3.0ms (0%)

localize133.0ms (1.8%)

series12.0ms (0.2%)

rewrite180.0ms (2.4%)

simplify135.0ms (1.8%)

eval71.0ms (0.9%)

prune28.0ms (0.4%)

localize107.0ms (1.4%)

series4.0ms (0%)

rewrite95.0ms (1.3%)

simplify158.0ms (2.1%)

eval63.0ms (0.8%)

prune27.0ms (0.4%)

localize770.0ms (10.2%)

series14.0ms (0.2%)

rewrite99.0ms (1.3%)

simplify108.0ms (1.4%)

eval486.0ms (6.5%)

prune63.0ms (0.8%)

localize1.4s (19.2%)

series14.0ms (0.2%)

rewrite104.0ms (1.4%)

simplify136.0ms (1.8%)

eval946.0ms (12.6%)

prune120.0ms (1.6%)

regimes55.0ms (0.7%)

regimes28.0ms (0.4%)

regimes6.0ms (0.1%)

simplify4.0ms (0.1%)

soundness260.0ms (3.4%)

end0.0ms (0%)

preprocess50.0ms (0.7%)

Profiling