Metrics for 2-ancestry mixing, negative discriminant

analyze310.0ms (2.2%)

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)

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

Operation ival-cos, time spent: 145.0ms, 66.0% of total-time

Operation ival-div, time spent: 26.0ms, 12.0% of total-time

Operation ival-mult, time spent: 15.0ms, 7.0% of total-time

Operation ival-acos, time spent: 12.0ms, 5.0% of total-time

Operation ival-pi, time spent: 9.0ms, 4.0% of total-time

Operation ival-add, time spent: 5.0ms, 2.0% of total-time

Operation const, time spent: 5.0ms, 2.0% of total-time

Operation ival-neg, time spent: 5.0ms, 2.0% of total-time

sample3.2s (23.1%)

Results

2.9s	8256×	body	256	valid
317.0ms	1128×	body	256	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

Operation ival-cos, time spent: 460.0ms, 31.0% of total-time

Operation ival-div, time spent: 327.0ms, 22.0% of total-time

Operation ival-mult, time spent: 217.0ms, 14.0% of total-time

Operation ival-acos, time spent: 193.0ms, 13.0% of total-time

Operation ival-pi, time spent: 94.0ms, 6.0% of total-time

Operation ival-add, time spent: 78.0ms, 5.0% of total-time

Operation ival-neg, time spent: 68.0ms, 5.0% of total-time

Operation const, time spent: 67.0ms, 4.0% of total-time

Bogosity

preprocess277.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	383
1	81	341
2	152	313
3	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)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

Operation ival-div, time spent: 30.0ms, 28.0% of total-time

Operation ival-cos, time spent: 29.0ms, 27.0% of total-time

Operation ival-mult, time spent: 17.0ms, 16.0% of total-time

Operation ival-acos, time spent: 13.0ms, 12.0% of total-time

Operation const, time spent: 6.0ms, 6.0% of total-time

Operation ival-add, time spent: 5.0ms, 5.0% of total-time

Operation ival-neg, time spent: 3.0ms, 3.0% of total-time

Operation ival-pi, time spent: 3.0ms, 3.0% of total-time

eval1.0ms (0%)

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

prune6.0ms (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)

localize301.0ms (2.2%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓	98.6%	(/.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)))
✓	98.6%	(/.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)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

Operation ival-cos, time spent: 42.0ms, 31.0% of total-time

Operation ival-div, time spent: 23.0ms, 17.0% of total-time

Operation ival-mult, time spent: 21.0ms, 16.0% of total-time

Operation ival-fma, time spent: 13.0ms, 10.0% of total-time

Operation ival-acos, time spent: 10.0ms, 7.0% of total-time

Operation ival-pi, time spent: 9.0ms, 7.0% of total-time

Operation const, time spent: 8.0ms, 6.0% of total-time

Operation ival-add, time spent: 5.0ms, 4.0% of total-time

Operation ival-neg, time spent: 3.0ms, 2.0% of total-time

series17.0ms (0.1%)

Counts

7 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	g	@	-inf	(/.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)))

rewrite277.0ms (2%)

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	219
1	289	195
2	3524	195

Stop Event

1×	node limit

Counts

7 → 184

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (*.f64 2/3 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 3)
(pow.f64 (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)
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(.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))))

simplify179.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1644×	`fma-def`
1512×	`times-frac`
1144×	`unswap-sqr`
902×	`cancel-sign-sub-inv`
408×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	14122
1	561	13910
2	2206	13892

Stop Event

1×	node limit

Counts

328 → 141

Calls

Call 1

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

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

eval75.0ms (0.5%)

Compiler: Compiled 3865 to 2446 computations (36.7% saved)

prune32.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	170	4	174

Accuracy

98.5%

Counts

174 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 284 to 208 computations (26.8% saved)

localize1.6s (11.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	98.4%	(*.f64 2/3 (PI.f64))
✓	98.4%	(sin.f64 (*.f64 2/3 (PI.f64)))
✓	97.5%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	8.1%	(fma.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
✓	98.5%	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓	98.5%	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64)))
✓	98.5%	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 2/3 (PI.f64))))
	98.4%	(*.f64 2/3 (PI.f64))

Compiler

Compiled 508 to 306 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

Operation ival-mult, time spent: 340.0ms, 32.0% of total-time

Operation ival-cos, time spent: 324.0ms, 31.0% of total-time

Operation ival-sin, time spent: 235.0ms, 22.0% of total-time

Operation ival-pow, time spent: 50.0ms, 5.0% of total-time

Operation const, time spent: 34.0ms, 3.0% of total-time

Operation ival-fma, time spent: 22.0ms, 2.0% of total-time

Operation ival-sub, time spent: 11.0ms, 1.0% of total-time

Operation ival-acos, time spent: 11.0ms, 1.0% of total-time

Operation ival-div, time spent: 10.0ms, 1.0% of total-time

Operation ival-add, time spent: 8.0ms, 1.0% of total-time

Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series18.0ms (0.1%)

Counts

6 → 96

Calls

24 calls:

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

rewrite177.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1065×	`log1p-expm1-u`
611×	`expm1-log1p-u`
600×	`expm1-udef`
600×	`log1p-udef`
244×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	210
1	359	160
2	4427	160

Stop Event

1×	node limit

Counts

6 → 141

Calls

Call 1

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

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

simplify143.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1950×	`fma-def`
1048×	`distribute-lft-in`
732×	`cancel-sign-sub-inv`
662×	`distribute-rgt-neg-in`
646×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	10943
1	667	10871
2	2736	10841

Stop Event

1×	node limit

Counts

237 → 172

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

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

eval683.0ms (4.9%)

Compiler: Compiled 39701 to 25369 computations (36.1% saved)

prune89.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	505	2	507
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	506	5	511

Accuracy

99.9%

Counts

511 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(.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)))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
▶	96.7%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	95.3%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.5%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	95.3%	(.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)))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
▶	96.7%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	95.3%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.5%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 428 to 308 computations (28% saved)

localize4.2s (30.1%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	98.4%	(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))
	97.5%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	8.0%	(log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
✓	6.7%	(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))
	98.4%	(sin.f64 (*.f64 2/3 (PI.f64)))
✓	98.4%	(+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))
	97.5%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	6.7%	(cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h)))))

Compiler

Compiled 862 to 524 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.2s

Operation ival-mult, time spent: 1.3s, 40.0% of total-time

Operation ival-cos, time spent: 1.2s, 38.0% of total-time

Operation ival-sin, time spent: 360.0ms, 11.0% of total-time

Operation ival-pow, time spent: 104.0ms, 3.0% of total-time

Operation const, time spent: 58.0ms, 2.0% of total-time

Operation ival-log, time spent: 41.0ms, 1.0% of total-time

Operation ival-add, time spent: 30.0ms, 1.0% of total-time

Operation ival-exp, time spent: 27.0ms, 1.0% of total-time

Operation ival-fma, time spent: 19.0ms, 1.0% of total-time

Operation ival-div, time spent: 19.0ms, 1.0% of total-time

Operation ival-acos, time spent: 17.0ms, 1.0% of total-time

Operation ival-sub, time spent: 11.0ms, 0.0% of total-time

Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series13.0ms (0.1%)

Counts

5 → 120

Calls

30 calls:

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

rewrite208.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	177
1	235	177
2	3088	177

Stop Event

1×	node limit

Counts

5 → 251

Calls

Call 1

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

Outputs
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 0)
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(+.f64 0 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h)))))) (cos.f64 (/.f64 (pow.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) 2) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h))))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h)))))) (sin.f64 (/.f64 (pow.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) 2) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h))))))))
(-.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))) 1)
(.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 1)
(.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) 3)) (fma.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 2))
(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))))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 1 (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 1 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
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(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (fma.f64 (neg.f64 (sin.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (cbrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (neg.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))) (.f64 (neg.f64 (sin.f64 (.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h))))) (/.f64 (pow.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) 2) (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h))))))
(.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))) 1)
(.f64 1 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h)))))
(.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 2) (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (.f64 (pow.f64 (PI.f64) 3) 8/27)) (/.f64 1 (fma.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (-.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) 4/9))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) 2)) (/.f64 1 (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h))))))
(/.f64 1 (/.f64 (fma.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (-.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27))))
(/.f64 1 (/.f64 (fma.f64 2/3 (PI.f64) (.f64 1/3 (acos.f64 (/.f64 g h)))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h))) 2))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (-.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 4/9)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (.f64 (.f64 2/3 (PI.f64)) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) 2)) (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) -1/27 (.f64 (pow.f64 (PI.f64) 3) 8/27))) (neg.f64 (fma.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (-.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) 4/9))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) 2))) (neg.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) 2) (.f64 (pow.f64 (PI.f64) 2) 4/9)) (-.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64))))
(pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 3)
(pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(log.f64 (.f64 (pow.f64 (exp.f64 2/3) (PI.f64)) (+.f64 1 (expm1.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (PI.f64)))) (pow.f64 (exp.f64 -1/3) (acos.f64 (/.f64 g h)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2/3 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 -1/3 (acos.f64 (/.f64 g h)))))))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/3) (acos.f64 (/.f64 g h))) (+.f64 1 (expm1.f64 (.f64 2/3 (PI.f64))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (pow.f64 (exp.f64 2/3) (PI.f64))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(exp.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(exp.f64 (.f64 (log.f64 (fma.f64 2/3 (PI.f64) (.f64 -1/3 (acos.f64 (/.f64 g h))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 2/3 (PI.f64) (*.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (PI.f64) 2/3 (*.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (.f64 2/3 (PI.f64)) 1 (.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.f64 -1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 (.f64 -1/3 (acos.f64 (/.f64 g h))) 1 (.f64 2/3 (PI.f64)))
(fma.f64 1 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1 (.f64 -1/3 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) -1/3) (.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 2/3) (.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.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 2/3 (PI.f64)))
(fma.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 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) (*.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2/3 (PI.f64))) 2) (cbrt.f64 (.f64 2/3 (PI.f64))) (*.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) -1/3) (.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 2/3) (.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (sqrt.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (sqrt.f64 (.f64 -1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 2/3 (PI.f64))) (sqrt.f64 (.f64 2/3 (PI.f64))) (*.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (.f64 -1/3 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2)) (cbrt.f64 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 (.f64 -1/3 (sqrt.f64 (acos.f64 (/.f64 g h)))) (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 2/3 (PI.f64)))
(fma.f64 (.f64 2/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))

simplify372.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1188×	`fma-def`
656×	`log-prod`
654×	`unswap-sqr`
580×	`fma-neg`
484×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	21859
1	585	21021
2	1677	20361
3	6178	20361

Stop Event

1×	node limit

Counts

371 → 134

Calls

Call 1

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

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

eval1.1s (7.6%)

Compiler: Compiled 52352 to 33561 computations (35.9% saved)

prune121.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	571	0	571
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	571	5	576

Accuracy

99.9%

Counts

576 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.3%	(.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)))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
✓	96.7%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3) (pow.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) 3)) (fma.f64 (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (.f64 2/3 (PI.f64)))) (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (.f64 -1/3 (acos.f64 (/.f64 g h))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓	95.3%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓	98.5%	(.f64 2 (cos.f64 (+.f64 (.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 530 to 358 computations (32.5% saved)

regimes44.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

9 calls:

7.0ms	h
6.0ms	(/.f64 (neg.f64 g) h)
5.0ms	(neg.f64 g)
5.0ms	g
2.0ms	(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Results

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

Compiler

Compiled 397 to 270 computations (32% saved)

regimes32.0ms (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:

7.0ms	(neg.f64 g)
5.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
3.0ms	g
3.0ms	h
3.0ms	(/.f64 (neg.f64 g) h)

Results

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

Compiler

Compiled 126 to 100 computations (20.6% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	h
3.0ms	g

Results

Accuracy	Segments	Branch
95.3%	1	`g`
95.3%	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×	done
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)

soundness367.0ms (2.6%)

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	219
1	289	195
2	3524	195
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%)

preprocess71.0ms (0.5%)

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

analyze310.0ms (2.2%)

sample3.2s (23.1%)

preprocess277.0ms (2%)

eval1.0ms (0%)

prune6.0ms (0%)

localize301.0ms (2.2%)

series17.0ms (0.1%)

rewrite277.0ms (2%)

simplify179.0ms (1.3%)

eval75.0ms (0.5%)

prune32.0ms (0.2%)

localize1.6s (11.7%)

series18.0ms (0.1%)

rewrite177.0ms (1.3%)

simplify143.0ms (1%)

eval683.0ms (4.9%)

prune89.0ms (0.6%)

localize4.2s (30.1%)

series13.0ms (0.1%)

rewrite208.0ms (1.5%)

simplify372.0ms (2.7%)

eval1.1s (7.6%)

prune121.0ms (0.9%)

regimes44.0ms (0.3%)

regimes32.0ms (0.2%)

regimes8.0ms (0.1%)

simplify5.0ms (0%)

soundness367.0ms (2.6%)

end0.0ms (0%)

preprocess71.0ms (0.5%)

Profiling