Metrics for 2-ancestry mixing, negative discriminant

analyze124.0ms (0.4%)

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: 79.0ms

Operation ival-cos, time spent: 26.0ms, 33.0% of total-time

Operation ival-div, time spent: 15.0ms, 19.0% of total-time

Operation ival-mult, time spent: 13.0ms, 16.0% of total-time

Operation ival-acos, time spent: 11.0ms, 14.0% of total-time

Operation ival-pi, time spent: 5.0ms, 6.0% of total-time

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

Operation ival-neg, time spent: 3.0ms, 4.0% of total-time

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

sample2.5s (7.4%)

Results

2.1s	8255×	valid
207.0ms	1134×	invalid
0.0ms	1×	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

Operation ival-div, time spent: 649.0ms, 41.0% of total-time

Operation ival-cos, time spent: 287.0ms, 18.0% of total-time

Operation ival-mult, time spent: 177.0ms, 11.0% of total-time

Operation ival-acos, time spent: 161.0ms, 10.0% of total-time

Operation ival-add, time spent: 133.0ms, 8.0% of total-time

Operation ival-pi, time spent: 56.0ms, 4.0% of total-time

Operation ival-neg, time spent: 55.0ms, 4.0% of total-time

Operation const, time spent: 48.0ms, 3.0% of total-time

Bogosity

preprocess372.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-define`
120×	`times-frac`
70×	`associate-/r*`
64×	`unsub-neg`
54×	`associate-l`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	383
1	81	341
2	148	313
3	289	313
4	536	313
5	811	313
6	908	313
7	940	313
8	997	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 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2 (/.f64 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 (neg.f64 g)) h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 2 (/.f64 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.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 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.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 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.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 (PI.f64) 3)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(.f64 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.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 (PI.f64) 3)) (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 h (neg.f64 g))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 h (neg.f64 g))) 3))))

Compiler

Compiled 172 to 100 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

Operation ival-div, time spent: 46.0ms, 30.0% of total-time

Operation ival-mult, time spent: 35.0ms, 23.0% of total-time

Operation ival-cos, time spent: 34.0ms, 22.0% of total-time

Operation ival-add, time spent: 19.0ms, 12.0% of total-time

Operation ival-acos, time spent: 9.0ms, 6.0% of total-time

Operation const, time spent: 8.0ms, 5.0% of total-time

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

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

eval1.0ms (0%)

Compiler: Compiled 45 to 34 computations (24.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize206.0ms (0.6%)

Localize:

Found 7 expressions with local error:

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

Compiler

Compiled 125 to 54 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

Operation ival-add, time spent: 31.0ms, 23.0% of total-time

Operation ival-cos, time spent: 31.0ms, 23.0% of total-time

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

Operation composed, time spent: 20.0ms, 15.0% of total-time

Operation ival-mult, time spent: 18.0ms, 13.0% of total-time

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

Operation ival-acos, time spent: 4.0ms, 3.0% of total-time

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

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

series31.0ms (0.1%)

Counts

7 → 144

Calls

36 calls:

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

rewrite427.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1158×	`log1p-expm1-u`
1158×	`expm1-log1p-u`
606×	`fma-define`
356×	`fma-neg`
156×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	219
1	255	195
2	3500	195

Stop Event

1×	node limit

Counts

7 → 230

Calls

Call 1

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

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

simplify210.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

876×	`cancel-sign-sub-inv`
620×	`distribute-lft-neg-in`
616×	`associate-/l*`
614×	`distribute-rgt-neg-in`
494×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	18738
1	642	18314
2	2263	17002

Stop Event

1×	node limit

Counts

374 → 170

Calls

Call 1

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

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

eval92.0ms (0.3%)

Compiler: Compiled 4595 to 2874 computations (37.5% saved)

prune32.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	204	3	207

Accuracy

98.4%

Counts

207 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶	97.3%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))

Status

Accuracy

Program

✓

98.4%

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

▶

97.3%

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

✓

98.4%

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

Compiler

Compiled 46 to 40 computations (13% saved)

localize120.0ms (0.4%)

Localize:

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 32 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

Operation ival-cos, time spent: 23.0ms, 35.0% of total-time

Operation ival-mult, time spent: 21.0ms, 32.0% of total-time

Operation ival-add, time spent: 10.0ms, 15.0% of total-time

Operation ival-acos, time spent: 5.0ms, 8.0% of total-time

Operation ival-div, time spent: 3.0ms, 5.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

Operation ival-pi, time spent: 1.0ms, 2.0% of total-time

series23.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Expression
11.0ms	h	@	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
1.0ms	g	@	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
1.0ms	g	@	(+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3))
1.0ms	h	@	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
1.0ms	g	@	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

rewrite134.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1107×	`log1p-expm1-u`
1107×	`expm1-log1p-u`
652×	`fma-define`
396×	`expm1-undefine`
396×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	93
1	214	93
2	2918	93

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

simplify188.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1736×	`fma-neg`
936×	`fma-define`
730×	`log-prod`
688×	`unswap-sqr`
542×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	8535
1	533	8267
2	1592	8135
3	6252	8135

Stop Event

1×	node limit

Counts

175 → 131

Calls

Call 1

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

eval79.0ms (0.2%)

Compiler: Compiled 3739 to 2369 computations (36.6% saved)

prune24.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	146	4	150

Accuracy

98.5%

Counts

150 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3)) (fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
✓	98.4%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	97.3%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))

Compiler

Compiled 142 to 104 computations (26.8% saved)

localize8.2s (24.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sin.f64 (*.f64 2/3 (PI.f64)))
✓	100.0%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	99.6%	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
✓	5.0%	(PI.f64)

Compiler

Compiled 484 to 295 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.1s

Operation ival-cos, time spent: 2.2s, 31.0% of total-time

Operation ival-mult, time spent: 1.9s, 26.0% of total-time

Operation ival-sin, time spent: 1.6s, 22.0% of total-time

Operation composed, time spent: 457.0ms, 6.0% of total-time

Operation ival-pow, time spent: 352.0ms, 5.0% of total-time

Operation ival-add, time spent: 263.0ms, 4.0% of total-time

Operation const, time spent: 160.0ms, 2.0% of total-time

Operation ival-sub, time spent: 98.0ms, 1.0% of total-time

Operation ival-div, time spent: 54.0ms, 1.0% of total-time

Operation ival-acos, time spent: 42.0ms, 1.0% of total-time

Operation ival-pi, time spent: 30.0ms, 0.0% of total-time

series25.0ms (0.1%)

Counts

4 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	h	@	-inf	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
4.0ms	g	@	inf	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
4.0ms	g	@	0	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
2.0ms	h	@	0	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
2.0ms	g	@	-inf	(fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))

rewrite154.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u`
864×	`expm1-log1p-u`
570×	`fma-define`
512×	`expm1-undefine`
512×	`log1p-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	120
1	279	70
2	3567	66

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

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

simplify157.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1216×	`unswap-sqr`
1202×	`log-prod`
1146×	`fma-neg`
742×	`fma-define`
668×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	269	6001
1	609	5879
2	2005	5763
3	6866	5673

Stop Event

1×	node limit

Counts

119 → 127

Calls

Call 1

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

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

eval744.0ms (2.2%)

Compiler: Compiled 36632 to 23334 computations (36.3% saved)

prune120.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	370	2	372
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	371	5	376

Accuracy

100.0%

Counts

376 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3)) (fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (log.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (.f64 -2/3 (PI.f64))))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (.f64 2/3 (PI.f64)))))))))
▶	98.9%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3)) (fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (-.f64 (.f64 (PI.f64) 2/3) (.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)))))))))
✓	98.4%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	97.3%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))

Compiler

Compiled 213 to 153 computations (28.2% saved)

localize16.6s (48.9%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	100.0%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	99.9%	(log.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))))
✓	99.9%	(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))
	3.9%	(PI.f64)
	100.0%	(sin.f64 (*.f64 2/3 (PI.f64)))
	100.0%	(cos.f64 (*.f64 2/3 (PI.f64)))
✓	99.9%	(cos.f64 (-.f64 (.f64 (PI.f64) 2/3) (.f64 1/3 (acos.f64 (/.f64 g h)))))
	3.9%	(PI.f64)

Compiler

Compiled 887 to 534 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.2s

Operation ival-cos, time spent: 4.3s, 30.0% of total-time

Operation ival-mult, time spent: 4.3s, 30.0% of total-time

Operation ival-sin, time spent: 2.5s, 18.0% of total-time

Operation composed, time spent: 743.0ms, 5.0% of total-time

Operation ival-pow, time spent: 730.0ms, 5.0% of total-time

Operation ival-add, time spent: 447.0ms, 3.0% of total-time

Operation ival-log, time spent: 326.0ms, 2.0% of total-time

Operation ival-sub, time spent: 295.0ms, 2.0% of total-time

Operation const, time spent: 282.0ms, 2.0% of total-time

Operation ival-div, time spent: 146.0ms, 1.0% of total-time

Operation ival-exp, time spent: 143.0ms, 1.0% of total-time

Operation ival-acos, time spent: 38.0ms, 0.0% of total-time

Operation ival-pi, time spent: 10.0ms, 0.0% of total-time

series22.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite148.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`fma-define`
921×	`log1p-expm1-u`
921×	`expm1-log1p-u`
606×	`fma-neg`
210×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	115
1	307	111
2	4046	111

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

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

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

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

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

simplify154.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-neg`
692×	`fma-define`
634×	`associate-/l*`
582×	`associate-/r*`
572×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	8555
1	351	8351
2	1294	8211
3	5096	8063

Stop Event

1×	node limit

Counts

163 → 95

Calls

Call 1

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

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

eval1.6s (4.7%)

Compiler: Compiled 84445 to 53987 computations (36.1% saved)

prune248.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	974	1	975
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	975	5	980

Accuracy

100.0%

Counts

980 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3)) (fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (log.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -2/3 (PI.f64)) (.f64 1/3 (acos.f64 (/.f64 g h)))))))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (.f64 (cos.f64 (.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64)))))))))
✓	98.9%	(.f64 2 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (.f64 2/3 (PI.f64)))) 3) (pow.f64 (.f64 (sin.f64 (.f64 2/3 (PI.f64))) (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h))))) 3)) (fma.f64 (sin.f64 (.f64 2/3 (PI.f64))) (.f64 (sin.f64 (.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (-.f64 (.f64 (PI.f64) 2/3) (.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)))))))))
✓	98.4%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	97.3%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.4%	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))

Compiler

Compiled 612 to 413 computations (32.5% saved)

regimes35.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

6.0ms	(neg.f64 g)
6.0ms	h
5.0ms	g
4.0ms	(/.f64 (neg.f64 g) h)
3.0ms	(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

Results

Accuracy	Segments	Branch
98.9%	1	`g`
98.9%	1	`h`
98.9%	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
98.9%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
98.9%	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
98.9%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
98.9%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.9%	1	`(/.f64 (neg.f64 g) h)`
98.9%	1	`(neg.f64 g)`

Compiler

Compiled 81 to 66 computations (18.5% saved)

regimes28.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

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

Compiler

Compiled 81 to 66 computations (18.5% saved)

regimes26.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

9 calls:

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

Results

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

Compiler

Compiled 81 to 66 computations (18.5% saved)

regimes5.0ms (0%)

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

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

Calls

2 calls:

3.0ms	h
3.0ms	g

Results

Accuracy	Segments	Branch
97.3%	1	`g`
97.3%	1	`h`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative`
22×	`+-commutative`
18×	`sub-neg`
14×	`neg-sub0`
14×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	450
1	78	450
2	97	450
3	110	450
4	118	450
5	120	450

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 129 to 96 computations (25.6% saved)

soundness965.0ms (2.8%)

Rules

1736×	`fma-neg`
1158×	`log1p-expm1-u`
1158×	`expm1-log1p-u`
1107×	`log1p-expm1-u`
1107×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	383
1	81	341
2	148	313
3	289	313
4	536	313
5	811	313
6	908	313
7	940	313
8	997	313
0	21	219
1	255	195
2	3500	195
0	17	93
1	214	93
2	2918	93
0	235	8535
1	533	8267
2	1592	8135
3	6252	8135
0	22	120
1	279	70
2	3567	66
0	42	383
1	81	341
2	148	313
3	289	313
4	536	313
5	811	313
6	908	313
7	940	313
8	997	313

Stop Event

1×	saturated
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 1164 to 770 computations (33.8% saved)

end0.0ms (0%)

preprocess81.0ms (0.2%)

Compiler: Compiled 282 to 196 computations (30.5% saved)

Iter	Nodes	Cost
0	42	383
1	81	341
2	148	313
3	289	313
4	536	313
5	811	313
6	908	313
7	940	313
8	997	313

Iter	Nodes	Cost
0	42	383
1	81	341
2	148	313
3	289	313
4	536	313
5	811	313
6	908	313
7	940	313
8	997	313

analyze124.0ms (0.4%)

sample2.5s (7.4%)

preprocess372.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize206.0ms (0.6%)

series31.0ms (0.1%)

rewrite427.0ms (1.3%)

simplify210.0ms (0.6%)

eval92.0ms (0.3%)

prune32.0ms (0.1%)

localize120.0ms (0.4%)

series23.0ms (0.1%)

rewrite134.0ms (0.4%)

simplify188.0ms (0.6%)

eval79.0ms (0.2%)

prune24.0ms (0.1%)

localize8.2s (24.2%)

series25.0ms (0.1%)

rewrite154.0ms (0.5%)

simplify157.0ms (0.5%)

eval744.0ms (2.2%)

prune120.0ms (0.4%)

localize16.6s (48.9%)

series22.0ms (0.1%)

rewrite148.0ms (0.4%)

simplify154.0ms (0.5%)

eval1.6s (4.7%)

prune248.0ms (0.7%)

regimes35.0ms (0.1%)

regimes28.0ms (0.1%)

regimes26.0ms (0.1%)

regimes5.0ms (0%)

simplify12.0ms (0%)

soundness965.0ms (2.8%)

end0.0ms (0%)

preprocess81.0ms (0.2%)

Profiling

Iter	Nodes	Cost
0	42	383
1	81	341
2	148	313
3	289	313
4	536	313
5	811	313
6	908	313
7	940	313
8	997	313