Metrics for 2-ancestry mixing, negative discriminant

analyze119.0ms (0.7%)

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)

sample2.0s (11.4%)

Results

1.8s	8256×	body	256	valid
248.0ms	1124×	body	256	invalid

Bogosity

preprocess188.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Problems

255×	No Errors
1×	`(acos.f64 (/.f64 (neg.f64 g) h))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	383
1	81	341
2	152	313
3	295	313
4	715	313
5	1042	313
6	1123	313
7	1187	313
8	1227	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 62 computations (34.7% 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)

localize196.0ms (1.1%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(acos.f64 (/.f64 (neg.f64 g) h))
✓	100.0%	(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 58 computations (53.6% saved)

series17.0ms (0.1%)

Counts

8 → 168

Calls

42 calls:

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

rewrite285.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1157×	`log1p-expm1-u`
1157×	`expm1-log1p-u`
404×	`expm1-udef`
404×	`log1p-udef`
156×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	240
1	289	212
2	3524	212

Stop Event

1×	node limit

Counts

8 → 207

Calls

Call 1

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

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

simplify184.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1192×	`cancel-sign-sub-inv`
750×	`distribute-lft-neg-in`
746×	`distribute-rgt-neg-in`
728×	`fma-neg`
534×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	15213
1	651	14985
2	2984	14919

Stop Event

1×	node limit

Counts

375 → 169

Calls

Call 1

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

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

eval96.0ms (0.5%)

Compiler: Compiled 4908 to 3044 computations (38% saved)

prune42.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	230	4	234

Accuracy

98.5%

Counts

234 → 4

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))))
▶	96.6%	(.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))))
▶	98.4%	(.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 2/3 (PI.f64)) 3)) (/.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))))
▶	96.6%	(.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))))
▶	98.4%	(.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 130 to 114 computations (12.3% saved)

localize226.0ms (1.3%)

Localize:

Found 8 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))
✓	98.5%	(+.f64 (cbrt.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	98.5%	(cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
	98.4%	(*.f64 2/3 (PI.f64))
✓	97.5%	(pow.f64 (*.f64 2/3 (PI.f64)) 3)

Compiler

Compiled 143 to 85 computations (40.6% saved)

series9.0ms (0%)

Counts

6 → 120

Calls

30 calls:

Time	Variable		Expression
3.0ms	h	@	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
1.0ms	g	@	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
0.0ms	g	@	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))
0.0ms	h	@	(+.f64 (cbrt.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
0.0ms	h	@	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))

rewrite163.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`log1p-expm1-u`
464×	`expm1-udef`
464×	`log1p-udef`
262×	`associate-r`
182×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	210
1	412	178
2	5862	178

Stop Event

1×	node limit

Counts

6 → 199

Calls

Call 1

Inputs
(pow.f64 (*.f64 2/3 (PI.f64)) 3)
(cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(+.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 (*.f64 8/27 (pow.f64 (PI.f64) 3)))) 1)
(.f64 2/3 (.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 4/9)))
(.f64 (PI.f64) (.f64 2/3 (*.f64 (pow.f64 (PI.f64) 2) 4/9)))
(.f64 (.f64 2/3 (PI.f64)) (*.f64 (pow.f64 (PI.f64) 2) 4/9))
(.f64 (.f64 8/27 (pow.f64 (PI.f64) 3)) 1)
(*.f64 8/27 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3) 8/27)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 2/3 (PI.f64)))
(.f64 1 (.f64 8/27 (pow.f64 (PI.f64) 3)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) (.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 4/9)))
(.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 4/9)))
(.f64 (pow.f64 (.f64 2/3 (PI.f64)) 3/2) (pow.f64 (*.f64 2/3 (PI.f64)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) 3) (*.f64 2/3 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) 3) (pow.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) 3))
(.f64 (.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) 2/3) (PI.f64))
(.f64 (.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (PI.f64)) 2/3)
(.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) 1) (.f64 2/3 (PI.f64)))
(.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2)) (cbrt.f64 (*.f64 2/3 (PI.f64))))
(.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (sqrt.f64 (.f64 2/3 (PI.f64)))) (sqrt.f64 (*.f64 2/3 (PI.f64))))
(sqrt.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 6))
(log.f64 (pow.f64 (exp.f64 8/27) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)))))
(cbrt.f64 (pow.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3))))
(exp.f64 (.f64 3 (log.f64 (.f64 2/3 (PI.f64)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3))))
(+.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 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (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 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 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 2/3 (PI.f64)))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 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)))))
(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 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)
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(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 2/3 (PI.f64)))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 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))))))
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(exp.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
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(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)))))
(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 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
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(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 (asin.f64 (/.f64 g h)) 3))
(/.f64 (acos.f64 (/.f64 g h)) 3)
(/.f64 1 (/.f64 3 (acos.f64 (/.f64 g h))))
(/.f64 1 (/.f64 (/.f64 3 (acos.f64 (/.f64 g h))) 1))
(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (/.f64 3 (cbrt.f64 (acos.f64 (/.f64 g h)))))
(/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (/.f64 3 (sqrt.f64 (acos.f64 (/.f64 g h)))))
(/.f64 (neg.f64 (acos.f64 (/.f64 g h))) -3)
(/.f64 -1 (neg.f64 (/.f64 3 (acos.f64 (/.f64 g h)))))
(/.f64 (neg.f64 (neg.f64 (acos.f64 (/.f64 g h)))) 3)
(pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
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(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3) 1/3)
(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 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3))
(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)))

simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1798×	`fma-def`
972×	`times-frac`
862×	`distribute-lft-in`
700×	`cancel-sign-sub-inv`
544×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	15001
1	699	14761
2	2520	14755

Stop Event

1×	node limit

Counts

319 → 152

Calls

Call 1

Inputs
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(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)))) 1)
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(.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 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(.f64 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3)) (/.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 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (/.f64 1 (+.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 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 8/27 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3))))
(/.f64 1 (/.f64 (+.f64 (.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 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))))) (fma.f64 8/27 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 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 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3)) (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3)) (+.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 (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 (acos.f64 (/.f64 g h)) 1/3)))
(/.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 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 -2/3 (PI.f64)))))
(/.f64 (neg.f64 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (.f64 (.f64 2/3 (PI.f64)) (-.f64 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(/.f64 (neg.f64 (fma.f64 8/27 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) 3))) (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))))
(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))))
(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 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (.f64 2/3 (PI.f64)) (.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) (cbrt.f64 (.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (cbrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (sqrt.f64 (.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 2/3 (PI.f64)))
(+.f64 (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 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3))) (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 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 (neg.f64 (sin.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (.f64 2/3 (PI.f64)))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3))) (.f64 (sin.f64 (.f64 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)))))
(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 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 (asin.f64 (/.f64 g h)) 3))
(/.f64 (acos.f64 (/.f64 g h)) 3)
(/.f64 1 (/.f64 3 (acos.f64 (/.f64 g h))))
(/.f64 1 (/.f64 (/.f64 3 (acos.f64 (/.f64 g h))) 1))
(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (/.f64 3 (cbrt.f64 (acos.f64 (/.f64 g h)))))
(/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (/.f64 3 (sqrt.f64 (acos.f64 (/.f64 g h)))))
(/.f64 (neg.f64 (acos.f64 (/.f64 g h))) -3)
(/.f64 -1 (neg.f64 (/.f64 3 (acos.f64 (/.f64 g h)))))
(/.f64 (neg.f64 (neg.f64 (acos.f64 (/.f64 g h)))) 3)
(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 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3) 1/3)
(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 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3))
(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
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (.f64 1/3 (acos.f64 (.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(/.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 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (*.f64 2/3 (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 2/3 (PI.f64))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (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 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))))
(/.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)))))
(/.f64 (.f64 (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))))) (-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))) (fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(/.f64 (.f64 (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(log.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(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 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(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 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 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 1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(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 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 1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 (asin.f64 (/.f64 g h)) 3))
(-.f64 (/.f64 (PI.f64) 6) (/.f64 (asin.f64 (/.f64 g h)) 3))
(/.f64 (acos.f64 (/.f64 g h)) 3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(/.f64 1 (/.f64 3 (acos.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(/.f64 1 (/.f64 (/.f64 3 (acos.f64 (/.f64 g h))) 1))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (/.f64 3 (cbrt.f64 (acos.f64 (/.f64 g h)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2)) 3) (cbrt.f64 (acos.f64 (/.f64 g h))))
(*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2)) 3))
(/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (/.f64 3 (sqrt.f64 (acos.f64 (/.f64 g h)))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(/.f64 (neg.f64 (acos.f64 (/.f64 g h))) -3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(/.f64 -1 (neg.f64 (/.f64 3 (acos.f64 (/.f64 g h)))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(/.f64 (neg.f64 (neg.f64 (acos.f64 (/.f64 g h)))) 3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3) 1/3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(neg.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(fabs.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.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)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))

eval121.0ms (0.7%)

Compiler: Compiled 4752 to 3117 computations (34.4% saved)

prune35.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	211	5	216

Accuracy

98.5%

Counts

216 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (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))))
✓	96.6%	(.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))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	96.6%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (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))))
✓	96.6%	(.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))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 322 to 242 computations (24.8% saved)

localize1.2s (6.9%)

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)))
✓	6.3%	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))

Compiler

Compiled 461 to 280 computations (39.3% saved)

series16.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	h	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
3.0ms	g	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
3.0ms	g	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
2.0ms	h	@	-inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
2.0ms	h	@	inf	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))

rewrite144.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u`
864×	`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	3553	63

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Inputs

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

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

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

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

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

962×	`unswap-sqr`
888×	`log-prod`
754×	`fma-def`
592×	`*-commutative`
586×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	236	6159
1	537	5909
2	1948	5685
3	7232	5595

Stop Event

1×	node limit

Counts

101 → 98

Calls

Call 1

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

eval686.0ms (3.8%)

Compiler: Compiled 30378 to 19378 computations (36.2% saved)

prune142.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	304	4	308
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	305	8	313

Accuracy

100.0%

Counts

313 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.8%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64))))))))
▶	96.6%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (log.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64))))))))
▶	98.1%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64))))))))
▶	96.6%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (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))))
✓	96.6%	(.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))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	92.8%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64))))))))
▶	96.6%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (log.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64))))))))
▶	98.1%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) -1/3))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64))))))))
▶	96.6%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (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))))
✓	96.6%	(.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))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 856 to 604 computations (29.4% saved)

localize4.1s (22.8%)

Localize:

Found 16 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)))
✓	97.5%	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 3))
✓	6.3%	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
	98.4%	(sin.f64 (*.f64 2/3 (PI.f64)))
	97.5%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	6.3%	(log.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
✓	5.0%	(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))
	98.4%	(*.f64 2/3 (PI.f64))
	98.4%	(sin.f64 (*.f64 2/3 (PI.f64)))
	97.5%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	5.0%	(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
	98.4%	(sin.f64 (*.f64 2/3 (PI.f64)))
✓	98.4%	(sin.f64 (expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))))
	97.5%	(cos.f64 (*.f64 2/3 (PI.f64)))
	6.3%	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))

Compiler

Compiled 1865 to 1119 computations (40% saved)

series22.0ms (0.1%)

Counts

6 → 96

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	g	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
3.0ms	h	@	0	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
1.0ms	g	@	0	(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
1.0ms	h	@	inf	(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
1.0ms	g	@	inf	(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))

rewrite190.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1037×	`log1p-expm1-u`
598×	`expm1-udef`
598×	`log1p-udef`
321×	`expm1-log1p-u`
302×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	174
1	498	174
2	5238	174

Stop Event

1×	node limit

Counts

6 → 217

Calls

Call 1

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

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

simplify193.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1688×	`fma-def`
1086×	`unswap-sqr`
726×	`distribute-lft-in`
706×	`distribute-rgt-in`
378×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	16455
1	401	16399
2	1718	16239

Stop Event

1×	node limit

Counts

313 → 112

Calls

Call 1

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

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

eval3.9s (22%)

Compiler: Compiled 223771 to 144955 computations (35.2% saved)

prune764.0ms (4.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	2374	2	2376
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	2376	8	2384

Accuracy

100.0%

Counts

2384 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.8%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 3)) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64))))))))
✓	96.6%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (log.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (.f64 2/3 (PI.f64))))))))
	98.1%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (cos.f64 (*.f64 2/3 (PI.f64))))))))
	96.6%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (expm1.f64 (log1p.f64 (.f64 2/3 (PI.f64)))))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (.f64 2/3 (PI.f64)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) (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))))
✓	96.6%	(.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))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 2/3 (PI.f64)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 1102 to 733 computations (33.5% saved)

regimes2.0s (11.2%)

Counts

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

2.0s	(neg.f64 g)
9.0ms	h
8.0ms	g
7.0ms	(acos.f64 (/.f64 (neg.f64 g) h))
6.0ms	(/.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 768 to 505 computations (34.2% saved)

regimes27.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

9 calls:

4.0ms	(/.f64 (neg.f64 g) h)
3.0ms	h
3.0ms	(neg.f64 g)
3.0ms	g
3.0ms	(.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)

regimes49.0ms (0.3%)

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:

45.0ms	g
3.0ms	h

Results

Accuracy	Segments	Branch
96.6%	1	`g`
96.6%	1	`h`

Compiler

Compiled 21 to 17 computations (19% saved)

simplify5.0ms (0%)

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)

soundness323.0ms (1.8%)

Rules

1157×	`log1p-expm1-u`
1157×	`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	295	313
4	715	313
5	1042	313
6	1123	313
7	1187	313
8	1227	313
0	21	240
1	289	212
2	3524	212
0	42	383
1	81	341
2	152	313
3	295	313
4	715	313
5	1042	313
6	1123	313
7	1187	313
8	1227	313

Stop Event

1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 337 to 229 computations (32% saved)

end0.0ms (0%)

preprocess54.0ms (0.3%)

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

analyze119.0ms (0.7%)

sample2.0s (11.4%)

preprocess188.0ms (1%)

eval1.0ms (0%)

prune3.0ms (0%)

localize196.0ms (1.1%)

series17.0ms (0.1%)

rewrite285.0ms (1.6%)

simplify184.0ms (1%)

eval96.0ms (0.5%)

prune42.0ms (0.2%)

localize226.0ms (1.3%)

series9.0ms (0%)

rewrite163.0ms (0.9%)

simplify174.0ms (1%)

eval121.0ms (0.7%)

prune35.0ms (0.2%)

localize1.2s (6.9%)

series16.0ms (0.1%)

rewrite144.0ms (0.8%)

simplify134.0ms (0.7%)

eval686.0ms (3.8%)

prune142.0ms (0.8%)

localize4.1s (22.8%)

series22.0ms (0.1%)

rewrite190.0ms (1.1%)

simplify193.0ms (1.1%)

eval3.9s (22%)

prune764.0ms (4.3%)

regimes2.0s (11.2%)

regimes27.0ms (0.2%)

regimes49.0ms (0.3%)

simplify5.0ms (0%)

soundness323.0ms (1.8%)

end0.0ms (0%)

preprocess54.0ms (0.3%)

Profiling