Metrics for 2-ancestry mixing, negative discriminant

analyze127.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

Operation ival-cos, time spent: 25.0ms, 30.0% of total-time

Operation ival-div, time spent: 16.0ms, 19.0% of total-time

Operation ival-mult, time spent: 12.0ms, 14.0% of total-time

Operation ival-acos, time spent: 12.0ms, 14.0% of total-time

Operation ival-pi, time spent: 9.0ms, 11.0% of total-time

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

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

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

sample2.4s (48%)

Results

2.1s	8255×	256	valid
191.0ms	1176×	256	invalid
0.0ms	1×	256	valid

Precisions

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

Operation ival-cos, time spent: 589.0ms, 40.0% of total-time

Operation ival-div, time spent: 323.0ms, 22.0% of total-time

Operation ival-mult, time spent: 191.0ms, 13.0% of total-time

Operation ival-acos, time spent: 167.0ms, 11.0% of total-time

Operation ival-pi, time spent: 60.0ms, 4.0% of total-time

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

Operation ival-neg, time spent: 53.0ms, 4.0% of total-time

Operation const, time spent: 33.0ms, 2.0% of total-time

Bogosity

preprocess360.0ms (7.1%)

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 108 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

Operation ival-div, time spent: 45.0ms, 32.0% of total-time

Operation ival-cos, time spent: 32.0ms, 23.0% of total-time

Operation ival-mult, time spent: 25.0ms, 18.0% of total-time

Operation ival-acos, time spent: 17.0ms, 12.0% of total-time

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

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

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

Operation ival-neg, time spent: 5.0ms, 4.0% 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
▶	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶	98.5%	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize199.0ms (3.9%)

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)
✓	98.5%	(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))
✓	98.5%	(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 58 computations (53.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

Operation ival-cos, time spent: 33.0ms, 27.0% of total-time

Operation ival-div, time spent: 22.0ms, 18.0% of total-time

Operation ival-acos, time spent: 20.0ms, 16.0% of total-time

Operation ival-mult, time spent: 18.0ms, 15.0% of total-time

Operation composed, time spent: 11.0ms, 9.0% of total-time

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

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

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

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

series31.0ms (0.6%)

Counts

7 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	g	@	0	(+.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)))
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)))

rewrite415.0ms (8.2%)

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))

simplify205.0ms (4.1%)

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)))

eval80.0ms (1.6%)

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

prune32.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	203	4	207

Accuracy

98.5%

Counts

207 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶	97.1%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.5%	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
▶	98.5%	(.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))

Compiler

Compiled 65 to 57 computations (12.3% saved)

localize251.0ms (5%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	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))
✓	98.5%	(cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (.f64 (PI.f64) 2/3)))
	98.4%	(*.f64 (PI.f64) 2/3)
✓	98.5%	(+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))
✓	98.5%	(cos.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3)))
	98.4%	(*.f64 (PI.f64) 2/3)
✓	97.5%	(pow.f64 (*.f64 (PI.f64) 2/3) 3)

Compiler

Compiled 143 to 85 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

Operation ival-cos, time spent: 36.0ms, 25.0% of total-time

Operation ival-mult, time spent: 35.0ms, 24.0% of total-time

Operation ival-div, time spent: 20.0ms, 14.0% of total-time

Operation ival-acos, time spent: 16.0ms, 11.0% of total-time

Operation ival-pow, time spent: 13.0ms, 9.0% of total-time

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

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

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

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

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

series23.0ms (0.5%)

Counts

6 → 120

Calls

30 calls:

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

rewrite158.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`log1p-expm1-u`
559×	`expm1-log1p-u`
262×	`associate-r`
182×	`associate-l`
180×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	210
1	413	178
2	5903	178

Stop Event

1×	node limit

Counts

6 → 197

Calls

Call 1

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

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

simplify169.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

902×	`times-frac`
784×	`cancel-sign-sub-inv`
600×	`distribute-lft-neg-in`
556×	`distribute-rgt-neg-in`
424×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	15885
1	708	15139
2	2462	14729

Stop Event

1×	node limit

Counts

317 → 157

Calls

Call 1

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

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

eval100.0ms (2%)

Compiler: Compiled 4911 to 3229 computations (34.2% saved)

prune31.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	221	4	225

Accuracy

98.5%

Counts

225 → 4

Alt Table

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Status	Accuracy	Program
✓	98.5%	(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	97.1%	(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))
✓	98.5%	(.f64 2 (cos.f64 (+.f64 (.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))
✓	98.5%	(.f64 2 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 2/3) 3)) (/.f64 (acos.f64 (/.f64 g (neg.f64 h))) 3))))

Compiler

Compiled 140 to 112 computations (20% saved)

regimes28.0ms (0.6%)

Counts

5 → 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 (cos.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 2/3) 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	(neg.f64 g)
4.0ms	h
4.0ms	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
98.5%	1	`g`
98.5%	1	`h`
98.5%	1	`(.f64 2 (cos.f64 (+.f64 (/.f64 (.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))`
98.5%	1	`(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))`
98.5%	1	`(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))`
98.5%	1	`(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)`
98.5%	1	`(acos.f64 (/.f64 (neg.f64 g) h))`
98.5%	1	`(/.f64 (neg.f64 g) h)`
98.5%	1	`(neg.f64 g)`

Compiler

Compiled 81 to 66 computations (18.5% saved)

regimes26.0ms (0.5%)

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

Results

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

Compiler

Compiled 81 to 66 computations (18.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 2 (cos.f64 (+.f64 (.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (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
97.1%	1	`g`
97.1%	1	`h`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
10×	`+-commutative`
6×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	145
1	43	145
2	49	145
3	54	145
4	57	145
5	58	145

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

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

Compiler

Compiled 46 to 40 computations (13% saved)

soundness313.0ms (6.2%)

Rules

1158×	`log1p-expm1-u`
1158×	`expm1-log1p-u`
716×	`fma-define`
716×	`fma-define`
606×	`fma-define`

Iterations

Useful iterations: 1 (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	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×	saturated

Compiler

Compiled 361 to 253 computations (29.9% saved)

end0.0ms (0%)

preprocess68.0ms (1.4%)

Compiler: Compiled 120 to 94 computations (21.7% 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

analyze127.0ms (2.5%)

sample2.4s (48%)

preprocess360.0ms (7.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize199.0ms (3.9%)

series31.0ms (0.6%)

rewrite415.0ms (8.2%)

simplify205.0ms (4.1%)

eval80.0ms (1.6%)

prune32.0ms (0.6%)

localize251.0ms (5%)

series23.0ms (0.5%)

rewrite158.0ms (3.1%)

simplify169.0ms (3.3%)

eval100.0ms (2%)

prune31.0ms (0.6%)

regimes28.0ms (0.6%)

regimes26.0ms (0.5%)

regimes5.0ms (0.1%)

simplify6.0ms (0.1%)

soundness313.0ms (6.2%)

end0.0ms (0%)

preprocess68.0ms (1.4%)

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