Metrics for bug323 (missed optimization)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-<=, time spent: 0.0ms, 0.0% of total-time

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

sample1.1s (12.4%)

Results

1.0s	8255×	0	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 565.0ms

Operation ival-sub, time spent: 274.0ms, 49.0% of total-time

Operation ival-acos, time spent: 162.0ms, 29.0% of total-time

Operation ival-<=, time spent: 84.0ms, 15.0% of total-time

Operation const, time spent: 29.0ms, 5.0% of total-time

Operation ival-and, time spent: 15.0ms, 3.0% of total-time

Bogosity

preprocess318.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

54×	`fma-neg`
30×	`fma-define`
28×	`sub-neg`
18×	`distribute-lft-neg-in`
18×	`associate--r+`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(acos.f64 (-.f64 1 x))`
0	-	-	`x`
0	-	-	`(-.f64 1 x)`
0	-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	26	60
2	40	60
3	70	60
4	111	60
5	154	60
6	180	60
7	189	60

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(neg.f64 (acos.f64 (-.f64 1 (neg.f64 x))))

Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 x))
(neg.f64 (acos.f64 (-.f64 1 (neg.f64 x))))
(neg.f64 (acos.f64 (+.f64 1 x)))

Compiler

Compiled 27 to 20 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-sub, time spent: 14.0ms, 53.0% of total-time

Operation ival-acos, time spent: 10.0ms, 38.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize69.0ms (0.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	96.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-sub, time spent: 6.0ms, 50.0% of total-time

Operation ival-acos, time spent: 5.0ms, 42.0% of total-time

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

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(acos.f64 (-.f64 1 x))
1.0ms	x	@	-inf	(acos.f64 (-.f64 1 x))
1.0ms	x	@	inf	(acos.f64 (-.f64 1 x))

rewrite175.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`unpow-prod-down`
390×	`log1p-expm1-u`
390×	`expm1-log1p-u`
372×	`add-exp-log`
357×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	87	14
2	1021	14

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))

Outputs
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1052×	`fma-define`
974×	`fma-neg`
938×	`associate-r`
842×	`associate-l`
808×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1676
1	352	1589
2	993	1498
3	5128	1498

Stop Event

1×	node limit

Counts

56 → 62

Calls

Call 1

Inputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

Outputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (.f64 (asin.f64 (-.f64 1 x)) 0) (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (.f64 (asin.f64 (-.f64 1 x)) 0) (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(acos.f64 (-.f64 1 x))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(acos.f64 (-.f64 1 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (.f64 (asin.f64 (-.f64 1 x)) (.f64 (PI.f64) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (.f64 (asin.f64 (-.f64 1 x)) 0) (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

eval21.0ms (0.2%)

Compiler: Compiled 1024 to 861 computations (15.9% saved)

prune27.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	48	14	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	15	63

Accuracy

96.7%

Counts

63 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.3%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	96.5%	(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶	96.5%	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
	96.5%	(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
▶	96.5%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶	7.3%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
▶	96.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
	7.4%	(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
	96.5%	(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	7.5%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
	96.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶	96.5%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	96.5%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	96.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 547 to 472 computations (13.7% saved)

localize654.0ms (7.2%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.0%	(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓	98.6%	(asin.f64 (-.f64 1 x))
✓	98.3%	(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
✓	11.1%	(PI.f64)
✓	99.9%	(cbrt.f64 (*.f64 (PI.f64) 1/2))
✓	98.6%	(asin.f64 (-.f64 1 x))
✓	97.1%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
✓	11.1%	(PI.f64)
✓	98.6%	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
✓	97.5%	(log.f64 (acos.f64 (-.f64 1 x)))
	96.5%	(acos.f64 (-.f64 1 x))
✓	11.1%	(E.f64)
✓	98.6%	(asin.f64 (-.f64 1 x))
✓	97.1%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓	11.1%	(PI.f64)
✓	98.7%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	97.5%	(log.f64 (acos.f64 (-.f64 1 x)))
	96.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 239 to 183 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

Operation ival-mult, time spent: 107.0ms, 25.0% of total-time

Operation ival-sub, time spent: 87.0ms, 20.0% of total-time

Operation ival-asin, time spent: 73.0ms, 17.0% of total-time

Operation ival-pow, time spent: 44.0ms, 10.0% of total-time

Operation ival-acos, time spent: 33.0ms, 8.0% of total-time

Operation composed, time spent: 25.0ms, 6.0% of total-time

Operation const, time spent: 18.0ms, 4.0% of total-time

Operation ival-add, time spent: 17.0ms, 4.0% of total-time

Operation ival-log, time spent: 14.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 10.0ms, 2.0% of total-time

Operation ival-div, time spent: 2.0ms, 0.0% of total-time

Operation ival-exp, time spent: 2.0ms, 0.0% of total-time

Operation ival-e, time spent: 2.0ms, 0.0% of total-time

Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series128.0ms (1.4%)

Counts

16 → 84

Calls

33 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(log.f64 (acos.f64 (-.f64 1 x)))
23.0ms	x	@	inf	(log.f64 (acos.f64 (-.f64 1 x)))
21.0ms	x	@	0	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
17.0ms	x	@	-inf	(log.f64 (acos.f64 (-.f64 1 x)))
14.0ms	x	@	0	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))

rewrite214.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`log1p-expm1-u`
850×	`expm1-log1p-u`
266×	`associate-r`
186×	`unpow-prod-down`
170×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	219
1	440	219
2	5042	219

Stop Event

1×	node limit

Counts

16 → 479

Calls

Call 1

Inputs
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(PI.f64)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(E.f64)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(PI.f64)
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(PI.f64)
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)

Outputs
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (PI.f64) 1)
(*.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 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 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 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
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(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))

simplify220.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1992×	`fma-neg`
760×	`times-frac`
748×	`log-prod`
746×	`exp-prod`
712×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	16774
1	1078	16378
2	4370	16082

Stop Event

1×	node limit

Counts

563 → 297

Calls

Call 1

Inputs
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 3))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 3))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 3))
(-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (.f64 -1 x))) 3))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
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(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x)))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (-.f64 (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))

Outputs
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512 (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (.f64 (pow.f64 (PI.f64) 6) 1/64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 1/2 (PI.f64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 (PI.f64) 2) (*.f64 1/2 (PI.f64)))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/4 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/2 (PI.f64))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 -1 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(asin.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(asin.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(asin.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(asin.f64 (-.f64 1 x))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(asin.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(asin.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)

eval395.0ms (4.4%)

Compiler: Compiled 19284 to 15736 computations (18.4% saved)

prune108.0ms (1.2%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	786	14	800
Fresh	7	2	9
Picked	2	3	5
Done	0	1	1
Total	795	20	815

Accuracy

96.7%

Counts

815 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	96.5%	(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
▶	4.3%	(pow.f64 (E.f64) (log.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))
	7.4%	(pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
✓	96.5%	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
	7.3%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (asin.f64 (-.f64 1 x)))
▶	7.3%	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))
	7.5%	(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
▶	96.5%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓	96.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
▶	96.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	96.5%	(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
	96.5%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	96.5%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
	96.5%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	96.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 543 to 479 computations (11.8% saved)

localize831.0ms (9.2%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	99.9%	(asin.f64 (-.f64 1 x))
	99.9%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
	6.2%	(PI.f64)
	6.2%	(E.f64)
✓	100.0%	(cbrt.f64 (PI.f64))
	99.9%	(asin.f64 (-.f64 1 x))
✓	99.9%	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2) (asin.f64 (-.f64 1 x)))
	6.2%	(PI.f64)
✓	100.0%	(log1p.f64 (asin.f64 (-.f64 1 x)))
	99.9%	(asin.f64 (-.f64 1 x))
✓	99.9%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
	6.2%	(PI.f64)
✓	99.9%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	99.8%	(acos.f64 (-.f64 1 x))
✓	100.0%	(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
✓	100.0%	(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
	99.8%	(acos.f64 (-.f64 1 x))
	6.2%	(E.f64)

Compiler

Compiled 231 to 170 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 679.0ms

Operation ival-sub, time spent: 133.0ms, 20.0% of total-time

Operation ival-asin, time spent: 117.0ms, 17.0% of total-time

Operation composed, time spent: 97.0ms, 14.0% of total-time

Operation ival-mult, time spent: 66.0ms, 10.0% of total-time

Operation ival-acos, time spent: 53.0ms, 8.0% of total-time

Operation ival-pow, time spent: 51.0ms, 8.0% of total-time

Operation ival-log, time spent: 51.0ms, 8.0% of total-time

Operation ival-cbrt, time spent: 30.0ms, 4.0% of total-time

Operation ival-exp, time spent: 28.0ms, 4.0% of total-time

Operation const, time spent: 26.0ms, 4.0% of total-time

Operation ival-add, time spent: 22.0ms, 3.0% of total-time

Operation ival-e, time spent: 4.0ms, 1.0% of total-time

Operation ival-pi, time spent: 2.0ms, 0.0% of total-time

series61.0ms (0.7%)

Counts

7 → 72

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(log1p.f64 (asin.f64 (-.f64 1 x)))
15.0ms	x	@	-inf	(log1p.f64 (asin.f64 (-.f64 1 x)))
15.0ms	x	@	0	(log1p.f64 (asin.f64 (-.f64 1 x)))
7.0ms	x	@	0	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
1.0ms	x	@	inf	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))

rewrite171.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`log1p-expm1-u`
934×	`expm1-log1p-u`
808×	`fma-neg`
208×	`associate-r`
155×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	177
1	415	99
2	4517	99

Stop Event

1×	node limit

Counts

7 → 363

Calls

Call 1

Inputs
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2) (asin.f64 (-.f64 1 x)))
(cbrt.f64 (PI.f64))

Outputs
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 1/2 (cbrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 1/2 (cbrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(fma.f64 (*.f64 1/2 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
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(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(fma.f64 (*.f64 1/2 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (log1p.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (log1p.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (log1p.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (asin.f64 (-.f64 1 x))) 2))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (.f64 (PI.f64) 1/2) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 1/2 (cbrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 1/2 (cbrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(fma.f64 (*.f64 1/2 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(*.f64 1 (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(pow.f64 (PI.f64) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(fabs.f64 (cbrt.f64 (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))

simplify163.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

770×	`distribute-lft-in`
746×	`distribute-rgt-in`
674×	`fma-neg`
674×	`associate-+l+`
646×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	13189
1	728	13011
2	2475	12999

Stop Event

1×	node limit

Counts

435 → 171

Calls

Call 1

Inputs
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
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(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 1/2 (cbrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 1/2 (cbrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(fma.f64 (*.f64 1/2 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(*.f64 1 (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(pow.f64 (PI.f64) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(fabs.f64 (cbrt.f64 (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))

Outputs
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (-.f64 1 x))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log1p.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
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(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 1/2 (cbrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 1/2 (cbrt.f64 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (.f64 1/2 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 1/2 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 1/2 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (*.f64 1/2 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(+.f64 0 (cbrt.f64 (PI.f64)))
(*.f64 1 (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) 1)
(cbrt.f64 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(cbrt.f64 (PI.f64))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(cbrt.f64 (PI.f64))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(pow.f64 (PI.f64) 1/3)
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(cbrt.f64 (PI.f64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2)
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(cbrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(cbrt.f64 (PI.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(cbrt.f64 (PI.f64))
(fabs.f64 (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(cbrt.f64 (PI.f64))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(+.f64 0 (cbrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))
(cbrt.f64 (PI.f64))

eval444.0ms (4.9%)

Compiler: Compiled 21161 to 16492 computations (22.1% saved)

prune111.0ms (1.2%)

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	1097	11	1108
Fresh	1	10	11
Picked	1	4	5
Done	0	4	4
Total	1099	29	1128

Accuracy

96.7%

Counts

1128 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶	7.3%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.3%	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.4%	(pow.f64 (E.f64) (log1p.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) 1)))
✓	96.5%	(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
	7.5%	(pow.f64 (E.f64) (log.f64 (-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))))
	7.4%	(pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
✓	96.5%	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
▶	7.3%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (.f64 (.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) 2) (cbrt.f64 (PI.f64))) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	7.3%	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)) (asin.f64 (-.f64 1 x)))
▶	7.2%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))
	7.5%	(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
	7.5%	(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
	7.5%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
✓	96.5%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓	96.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶	96.5%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	7.4%	(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
	96.5%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	96.5%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	96.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	96.5%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	96.5%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
▶	96.5%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	96.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 824 to 720 computations (12.6% saved)

localize2.5s (27.9%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	99.9%	(cbrt.f64 (*.f64 (PI.f64) 1/2))
	99.1%	(asin.f64 (-.f64 1 x))
✓	98.6%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))
	9.2%	(PI.f64)
✓	99.7%	(neg.f64 (asin.f64 (-.f64 1 x)))
	99.1%	(asin.f64 (-.f64 1 x))
✓	99.1%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
	9.2%	(PI.f64)
✓	99.9%	(sqrt.f64 (PI.f64))
	99.1%	(asin.f64 (-.f64 1 x))
✓	98.6%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (asin.f64 (-.f64 1 x)))
	9.2%	(PI.f64)
✓	99.6%	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
✓	98.7%	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
	98.1%	(acos.f64 (-.f64 1 x))
✓	99.6%	(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓	99.1%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	98.1%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 200 to 149 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.8s

Operation ival-sub, time spent: 373.0ms, 21.0% of total-time

Operation ival-asin, time spent: 277.0ms, 15.0% of total-time

Operation ival-pow, time spent: 253.0ms, 14.0% of total-time

Operation ival-acos, time spent: 237.0ms, 13.0% of total-time

Operation ival-mult, time spent: 181.0ms, 10.0% of total-time

Operation ival-cbrt, time spent: 167.0ms, 9.0% of total-time

Operation const, time spent: 101.0ms, 6.0% of total-time

Operation ival-add, time spent: 78.0ms, 4.0% of total-time

Operation composed, time spent: 40.0ms, 2.0% of total-time

Operation ival-div, time spent: 26.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 25.0ms, 1.0% of total-time

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

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

series23.0ms (0.3%)

Counts

9 → 88

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(+.f64 (acos.f64 (-.f64 1 x)) -1)
2.0ms	x	@	0	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))
1.0ms	x	@	-inf	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
1.0ms	x	@	inf	(pow.f64 (acos.f64 (-.f64 1 x)) 3)
1.0ms	x	@	0	(pow.f64 (acos.f64 (-.f64 1 x)) 3)

rewrite191.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`log1p-expm1-u`
324×	`associate-r`
231×	`expm1-log1p-u`
226×	`unpow-prod-down`
222×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	165
1	602	131
2	7128	131

Stop Event

1×	node limit

Counts

9 → 481

Calls

Call 1

Inputs
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (asin.f64 (-.f64 1 x)))
(sqrt.f64 (PI.f64))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))

Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(fma.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 1)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(.f64 (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1))
(.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (.f64 -1 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 -1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 -1 (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1))
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (*.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1))
(+.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3))
(.f64 (.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
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(/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(fma.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))

simplify211.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

628×	`div-sub`
540×	`log-prod`
534×	`sub-neg`
466×	`exp-prod`
446×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	17824
1	1007	16891
2	4496	16873

Stop Event

1×	node limit

Counts

569 → 269

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(.f64 -1 (asin.f64 (+.f64 1 (.f64 -1 x))))
(.f64 -1 (asin.f64 (+.f64 1 (.f64 -1 x))))
(.f64 -1 (asin.f64 (+.f64 1 (.f64 -1 x))))
(.f64 -1 (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(fma.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
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(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (asin.f64 (-.f64 1 x)) -1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(.f64 (.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(asin.f64 (-.f64 1 x))
(+.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) 1))
(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(fma.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))

Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(.f64 -1 (asin.f64 (+.f64 1 (.f64 -1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(.f64 -1 (asin.f64 (+.f64 1 (.f64 -1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(.f64 -1 (asin.f64 (+.f64 1 (.f64 -1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(.f64 -1 (asin.f64 (+.f64 1 (.f64 -1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
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(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))

eval474.0ms (5.3%)

Compiler: Compiled 22256 to 17922 computations (19.5% saved)

prune127.0ms (1.4%)

Pruning

30 alts after pruning (19 fresh and 11 done)

	Pruned	Kept	Total
New	1122	10	1132
Fresh	7	9	16
Picked	2	3	5
Done	0	8	8
Total	1131	30	1161

Accuracy

96.7%

Counts

1161 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
	7.4%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
	7.3%	(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
✓	96.5%	(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
✓	96.5%	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
	7.4%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	7.3%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (*.f64 (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 2) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 2) 1/2) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (.f64 (.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) 2) (cbrt.f64 (PI.f64))) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	7.3%	(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)) 3)) (asin.f64 (-.f64 1 x)))
	7.2%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	7.2%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))
	7.5%	(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2) (asin.f64 (-.f64 1 x)))
	7.4%	(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
✓	96.5%	(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓	96.5%	(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
	3.9%	(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
	96.5%	(+.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 3) 1)
	96.5%	(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
	96.5%	(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓	96.5%	(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
	96.5%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
	96.5%	(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	96.5%	(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
	96.5%	(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓	96.5%	(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓	96.5%	(acos.f64 (-.f64 1 x))

Compiler

Compiled 1197 to 998 computations (16.6% saved)

regimes33.0ms (0.4%)

Counts

50 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 3) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 2) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 2) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (-.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64))) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) 2) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(-.f64 (.f64 (.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) 2) (cbrt.f64 (PI.f64))) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)) 3)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
(pow.f64 (E.f64) (log1p.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))

Outputs
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))

Calls

3 calls:

21.0ms	x
6.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`(acos.f64 (-.f64 1 x))`
96.5%	1	`(-.f64 1 x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -59.3b remaining (-2679.2%)

Threshold costs -59.3b (-2679.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)

Outputs
(acos.f64 (-.f64 1 x))

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 1 x)
2.0ms	(acos.f64 (-.f64 1 x))

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`(acos.f64 (-.f64 1 x))`
96.5%	1	`(-.f64 1 x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
3×	`1-exp`
2×	`*-commutative`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	18	36
2	22	36
3	24	36
4	25	36

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

Outputs
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

Compiler

Compiled 12 to 10 computations (16.7% saved)

soundness94.0ms (1%)

Rules

550×	`unpow-prod-down`
390×	`log1p-expm1-u`
390×	`expm1-log1p-u`
372×	`add-exp-log`
357×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	87	14
2	1021	14

Stop Event

1×	node limit

Compiler

Compiled 11 to 9 computations (18.2% saved)

end0.0ms (0%)

preprocess34.0ms (0.4%)

Compiler: Compiled 48 to 40 computations (16.7% saved)

analyze0.0ms (0%)

sample1.1s (12.4%)

preprocess318.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize69.0ms (0.8%)

series2.0ms (0%)

rewrite175.0ms (1.9%)

simplify78.0ms (0.9%)

eval21.0ms (0.2%)

prune27.0ms (0.3%)

localize654.0ms (7.2%)

series128.0ms (1.4%)

rewrite214.0ms (2.4%)

simplify220.0ms (2.4%)

eval395.0ms (4.4%)

prune108.0ms (1.2%)

localize831.0ms (9.2%)

series61.0ms (0.7%)

rewrite171.0ms (1.9%)

simplify163.0ms (1.8%)

eval444.0ms (4.9%)

prune111.0ms (1.2%)

localize2.5s (27.9%)

series23.0ms (0.3%)

rewrite191.0ms (2.1%)

simplify211.0ms (2.3%)

eval474.0ms (5.3%)

prune127.0ms (1.4%)

regimes33.0ms (0.4%)

regimes8.0ms (0.1%)

simplify3.0ms (0%)

soundness94.0ms (1%)

end0.0ms (0%)

preprocess34.0ms (0.4%)

Profiling