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

ival-sub: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

ival-<=: 0.0ms (0% of total)

ival-acos: 0.0ms (0% of total)

sample2.0s (24.9%)

Results

1.3s	8040×	1	valid
53.0ms	216×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-acos: 479.0ms (45.5% of total)

ival-sub: 255.0ms (24.2% of total)

ival-<=: 182.0ms (17.3% of total)

backward-pass: 102.0ms (9.7% of total)

const: 23.0ms (2.2% of total)

ival-and: 10.0ms (1% of total)

Bogosity

preprocess42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

27×	`fma-neg`
15×	`fma-define`
14×	`sub-neg`
9×	`distribute-lft-neg-in`
9×	`associate--r+`

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 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x))))

Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(acos.f64 (+.f64 #s(literal 1 binary64) x))
(neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(neg.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))

explain171.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`acos.f64`	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	255	0

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Results

62.0ms	502×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 32 to 18 computations (43.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-acos: 21.0ms (57.7% of total)

ival-sub: 8.0ms (22% of total)

backward-pass: 7.0ms (19.2% of total)

const: 1.0ms (2.7% of total)

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
▶	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Rules

8×	`sub-neg`
6×	`fma-define`
4×	`+-commutative`
3×	`1-exp`
3×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	16	29
2	20	29
3	27	29
4	35	29
5	45	29
6	56	29
7	68	29
8	71	29

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize40.0ms (0.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

32.0ms	251×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-acos: 12.0ms (62% of total)

ival-sub: 4.0ms (20.7% of total)

backward-pass: 3.0ms (15.5% of total)

const: 1.0ms (5.2% of total)

series2.0ms (0%)

Counts

2 → 16

Calls

Call 1

Inputs
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>

Outputs
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- 1 x)
0.0ms	x	@	-inf	(acos (- 1 x))
0.0ms	x	@	-inf	(- 1 x)
0.0ms	x	@	0	(acos (- 1 x))
0.0ms	x	@	0	(- 1 x)

rewrite203.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`log1p-expm1-u`
390×	`expm1-log1p-u`
373×	`add-exp-log`
359×	`add-log-exp`
358×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	87	24
2	1021	24

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

Inputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)

Outputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 x)))
(pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

724×	`fma-define`
475×	`fma-neg`
377×	`distribute-lft-in`
346×	`distribute-rgt-in`
342×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	307	3478
1	585	3301
2	1587	3198
3	5586	3163

Stop Event

1×	node limit

Counts

129 → 141

Calls

Call 1

Inputs
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 x)))
(pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))

Outputs
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (E.f64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) x)
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 x))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 x))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)

eval17.0ms (0.2%)

Compiler: Compiled 1872 to 429 computations (77.1% saved)

prune67.0ms (0.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	127	14	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	15	142

Accuracy

10.1%

Counts

142 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.8%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
▶	6.6%	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
▶	6.6%	(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	10.0%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
	10.0%	(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
	6.6%	(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
▶	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.6%	(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	7.3%	(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
	6.9%	(acos.f64 (neg.f64 x))
▶	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 441 to 236 computations (46.5% saved)

simplify199.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	19392	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	cost-diff	-13312	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
✓	cost-diff	0	(acos.f64 #s(literal 1 binary64))
✓	cost-diff	0	(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	38976	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	39104	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Rules

693×	`unsub-neg`
652×	`sub-neg`
596×	`fma-neg`
520×	`+-commutative`
408×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	750
1	51	728
2	78	566
3	131	344
4	304	344
5	1094	344
6	2454	344
7	4849	344
8	6073	344
9	6802	344
10	7112	344
11	7221	344
12	7255	344
13	7728	344

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(E.f64)
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
x
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(E.f64)
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize410.0ms (5.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.5%	(asin.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	11.6%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	92.0%	(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	accuracy	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	8.9%	(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	accuracy	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(acos.f64 #s(literal 1 binary64))
✓	accuracy	98.6%	(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	98.5%	(asin.f64 (-.f64 #s(literal 1 binary64) x))
	accuracy	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	3.2%	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))

Results

341.0ms	237×	1	valid
19.0ms	19×	2	valid

Compiler

Compiled 148 to 22 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-pow: 34.0ms (21.4% of total)

backward-pass: 28.0ms (17.6% of total)

ival-acos: 22.0ms (13.8% of total)

ival-asin: 14.0ms (8.8% of total)

ival-fma: 13.0ms (8.2% of total)

ival-log: 9.0ms (5.7% of total)

ival-sqrt: 8.0ms (5% of total)

ival-sub: 7.0ms (4.4% of total)

ival-e: 6.0ms (3.8% of total)

ival-neg: 5.0ms (3.1% of total)

ival-add: 5.0ms (3.1% of total)

ival-mult: 4.0ms (2.5% of total)

ival-pi: 2.0ms (1.3% of total)

const: 1.0ms (0.6% of total)

series124.0ms (1.6%)

Counts

15 → 88

Calls

Call 1

Inputs
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (E.f64)>
#<alt (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))>
#<alt (PI.f64)>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>

Outputs
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (log.f64 (E.f64)))>
#<alt (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (log.f64 (E.f64)))>
#<alt (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>

Calls

30 calls:

Time	Variable		Point	Expression
50.0ms	x	@	0	(pow (E) (log (acos (- 1 x))))
18.0ms	x	@	-inf	(pow (E) (log (acos (- 1 x))))
17.0ms	x	@	inf	(pow (E) (log (acos (- 1 x))))
16.0ms	x	@	0	(+ (* (sqrt (* (PI) 1/2)) (sqrt (* (PI) 1/2))) (neg (asin (- 1 x))))
9.0ms	x	@	0	(sqrt (asin (- 1 x)))

rewrite233.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`log1p-expm1-u`
377×	`expm1-log1p-u`
188×	`add-exp-log`
187×	`add-log-exp`
187×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	346
1	442	248
2	5834	248

Stop Event

1×	node limit

Counts

15 → 505

Calls

Call 1

Inputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(E.f64)
(log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))

simplify269.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

198×	`associate-r`
166×	`associate-l`
144×	`fma-define`
138×	`distribute-lft-in`
132×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	700	8402
1	1366	8402
2	6080	8402

Stop Event

1×

unsound

Counts

593 → 381

Calls

Call 1

Inputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (log.f64 (E.f64)))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(log.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
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(.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(/.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))

Outputs
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
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(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))

eval253.0ms (3.2%)

Compiler: Compiled 28352 to 3345 computations (88.2% saved)

prune212.0ms (2.7%)

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	1276	27	1303
Fresh	2	7	9
Picked	2	3	5
Done	0	1	1
Total	1280	38	1318

Accuracy

10.3%

Counts

1318 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
▶	10.1%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	4.8%	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
	10.0%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	4.8%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	4.8%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
	6.6%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
	6.6%	(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
	10.0%	(pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))))
	6.6%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
	6.6%	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	6.6%	(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	6.6%	(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	6.6%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
	10.0%	(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	10.0%	(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
	10.0%	(+.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
	10.0%	(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	9.9%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.8%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
	4.8%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.6%	(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	7.3%	(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	6.9%	(acos.f64 (neg.f64 x))
✓	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 1544 to 815 computations (47.2% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	12864	(sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
✓	cost-diff	12864	(neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
✓	cost-diff	51840	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	51968	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
✓	cost-diff	12864	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
✓	cost-diff	32256	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	12800	(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	12800	(+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	13056	(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(acos.f64 (neg.f64 x))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Rules

687×	`fma-neg`
528×	`exp-sum`
495×	`exp-diff`
433×	`unsub-neg`
432×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	708
1	78	656
2	115	599
3	192	567
4	419	567
5	1313	567
6	3403	567
7	7374	567

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 (neg.f64 x))
(neg.f64 x)
x
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
#s(literal 1 binary64)
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(cbrt.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal 3 binary64)
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))

Outputs
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 (neg.f64 x))
(neg.f64 x)
x
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) x)
x
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) x)
(cbrt.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal 3 binary64)
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))

localize385.0ms (4.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	98.5%	(asin.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	98.5%	(asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
	accuracy	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	3.2%	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	98.4%	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	98.4%	(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	11.6%	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	8.9%	(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	8.9%	(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
	accuracy	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(acos.f64 (neg.f64 x))
	accuracy	98.5%	(asin.f64 (-.f64 #s(literal 1 binary64) x))
	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	11.6%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Results

287.0ms	236×	1	valid
30.0ms	20×	2	valid

Compiler

Compiled 247 to 34 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-log: 40.0ms (17.5% of total)

ival-asin: 30.0ms (13.1% of total)

ival-sqrt: 27.0ms (11.8% of total)

ival-acos: 25.0ms (10.9% of total)

backward-pass: 23.0ms (10.1% of total)

ival-pow: 18.0ms (7.9% of total)

ival-fma: 18.0ms (7.9% of total)

ival-cbrt: 9.0ms (3.9% of total)

ival-exp: 8.0ms (3.5% of total)

ival-mult: 8.0ms (3.5% of total)

ival-sub: 6.0ms (2.6% of total)

ival-neg: 6.0ms (2.6% of total)

ival-add: 6.0ms (2.6% of total)

ival-pi: 4.0ms (1.7% of total)

const: 1.0ms (0.4% of total)

series18.0ms (0.2%)

Counts

18 → 140

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (acos.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))>
#<alt (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))>
#<alt (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))>

Outputs
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (acos.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (acos.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (acos.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (acos.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (asin.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ (* (sqrt (pow (cbrt (* (PI) 1/2)) 3)) (sqrt (* (PI) 1/2))) (neg (asin (- 1 x))))
0.0ms	x	@	inf	(+ (acos (- 1 x)) (+ (* (neg (sqrt (asin (pow (cbrt (- 1 x)) 3)))) (sqrt (asin (- 1 x)))) (asin (- 1 x))))
0.0ms	x	@	-inf	(+ (* (sqrt (pow (cbrt (* (PI) 1/2)) 3)) (sqrt (* (PI) 1/2))) (neg (asin (- 1 x))))
0.0ms	x	@	-inf	(+ (acos (- 1 x)) (+ (* (neg (sqrt (asin (pow (cbrt (- 1 x)) 3)))) (sqrt (asin (- 1 x)))) (asin (- 1 x))))
0.0ms	x	@	0	(+ (acos (- 1 x)) (+ (* (neg (sqrt (asin (pow (cbrt (- 1 x)) 3)))) (sqrt (asin (- 1 x)))) (asin (- 1 x))))

rewrite235.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`log1p-expm1-u`
227×	`expm1-log1p-u`
221×	`add-cube-cbrt`
220×	`pow1`
219×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	438
1	648	296
2	6818	296

Stop Event

1×	node limit

Counts

18 → 660

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (PI.f64))
(acos.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))

Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))

simplify305.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

395×	`associate-r`
355×	`associate-l`
298×	`fma-define`
169×	`*-commutative`
162×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	867	30400
1	1659	30400

Stop Event

1×	node limit

Counts

800 → 470

Calls

Call 1

Inputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(+.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
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(*.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(/.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(fabs.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(/.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))

Outputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
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(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))

eval128.0ms (1.6%)

Compiler: Compiled 19330 to 2685 computations (86.1% saved)

prune144.0ms (1.8%)

Pruning

51 alts after pruning (43 fresh and 8 done)

	Pruned	Kept	Total
New	873	19	892
Fresh	5	24	29
Picked	1	4	5
Done	0	4	4
Total	879	51	930

Accuracy

10.3%

Counts

930 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.0%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
	4.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	4.8%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
✓	10.1%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.8%	(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	10.1%	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
	10.0%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
	4.8%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	4.8%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
	6.6%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
	6.9%	(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
	6.6%	(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
	10.0%	(pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))))
	6.6%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
	6.6%	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	6.6%	(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	6.6%	(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	10.0%	(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	6.5%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
	9.9%	(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	10.0%	(+.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(+.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
	10.0%	(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.7%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
	9.9%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	9.9%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
▶	6.6%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.6%	(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶	7.3%	(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	6.9%	(acos.f64 (neg.f64 x))
✓	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 2264 to 1243 computations (45.1% saved)

simplify181.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	19520	(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	cost-diff	19520	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	cost-diff	38976	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	58624	(+.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(cbrt.f64 (sqrt.f64 (PI.f64)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
✓	cost-diff	12864	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	12864	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	cost-diff	0	(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	256	(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
	cost-diff	12864	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
✓	cost-diff	45120	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Rules

575×	`fma-define`
462×	`unsub-neg`
448×	`sub-neg`
343×	`associate-r`
326×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	876
1	91	810
2	195	753
3	609	721
4	1754	721
5	3576	721
6	5063	721
7	6659	721
8	7389	721
9	7686	721
10	7930	721

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(sqrt.f64 (PI.f64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(asin.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))

localize395.0ms (5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	98.5%	(asin.f64 (-.f64 #s(literal 1 binary64) x))
	accuracy	98.4%	(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	8.9%	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	accuracy	3.2%	(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	accuracy	98.5%	(asin.f64 (-.f64 #s(literal 1 binary64) x))
	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	11.6%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	accuracy	100.0%	(exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	8.8%	(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
	accuracy	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	accuracy	99.7%	(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
✓	accuracy	6.6%	(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
	accuracy	98.4%	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
	accuracy	98.4%	(sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	accuracy	98.4%	(cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	11.6%	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Results

285.0ms	237×	1	valid
31.0ms	19×	2	valid

Compiler

Compiled 316 to 41 computations (87% saved)

Precisions

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

ival-pow: 33.0ms (14.9% of total)

backward-pass: 28.0ms (12.7% of total)

ival-acos: 26.0ms (11.8% of total)

ival-sqrt: 22.0ms (10% of total)

ival-mult: 19.0ms (8.6% of total)

ival-fma: 17.0ms (7.7% of total)

ival-cbrt: 17.0ms (7.7% of total)

ival-asin: 15.0ms (6.8% of total)

ival-log: 13.0ms (5.9% of total)

ival-sub: 9.0ms (4.1% of total)

ival-div: 5.0ms (2.3% of total)

ival-exp: 5.0ms (2.3% of total)

ival-neg: 5.0ms (2.3% of total)

ival-pi: 3.0ms (1.4% of total)

const: 2.0ms (0.9% of total)

ival-add: 2.0ms (0.9% of total)

series68.0ms (0.9%)

Counts

16 → 75

Calls

Call 1

Inputs
#<alt (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))>
#<alt (acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sqrt.f64 (PI.f64)))>
#<alt (+.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))>

Outputs
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>

Calls

33 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	(* 2 (log (sqrt (exp (acos (- 1 x))))))
17.0ms	x	@	inf	(* 2 (log (sqrt (exp (acos (- 1 x))))))
15.0ms	x	@	0	(* 2 (log (sqrt (exp (acos (- 1 x))))))
2.0ms	x	@	0	(+ (- (* (cbrt (pow (* (PI) 1/2) 2)) (cbrt (* (PI) 1/2))) (asin (- 1 x))) (+ (* (neg (sqrt (asin (- 1 x)))) (sqrt (asin (- 1 x)))) (asin (- 1 x))))
0.0ms	x	@	-inf	(* x (- (/ 1 x) 1))

rewrite153.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

272×	`log1p-expm1-u`
272×	`expm1-log1p-u`
266×	`add-exp-log`
262×	`pow1`
253×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	321
1	765	243

Stop Event

1×	node limit

Counts

16 → 648

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(+.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))

Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (neg.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (/.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

simplify305.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

419×	`distribute-lft-neg-in`
401×	`distribute-rgt-neg-in`
336×	`distribute-lft-out`
270×	`fma-define`
248×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	726	27614
1	1411	23127
2	4636	23021

Stop Event

1×	node limit

Counts

723 → 458

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (asin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -1 binary64)
#s(literal -1 binary64)
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
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(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))

eval149.0ms (1.9%)

Compiler: Compiled 24156 to 3152 computations (87% saved)

prune166.0ms (2.1%)

Pruning

70 alts after pruning (60 fresh and 10 done)

	Pruned	Kept	Total
New	986	26	1012
Fresh	4	34	38
Picked	3	2	5
Done	0	8	8
Total	993	70	1063

Accuracy

10.4%

Counts

1063 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.0%	(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
	4.8%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(fma.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
✓	4.8%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
✓	10.1%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.8%	(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.1%	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.8%	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
	10.0%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
	4.8%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
✓	4.8%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	5.9%	(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
	6.6%	(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
	6.9%	(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
	6.6%	(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
	6.6%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
	6.6%	(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	6.6%	(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	6.6%	(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	10.0%	(-.f64 (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	10.0%	(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
	6.5%	(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(+.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	6.6%	(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
	9.9%	(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	9.9%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	9.9%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	4.7%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
	9.9%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	9.9%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
	10.0%	(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
	6.6%	(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
	6.6%	(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	6.6%	(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))
✓	6.6%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
	6.6%	(.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
	6.6%	(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
	6.6%	(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	7.3%	(log.f64 (exp.f64 (acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
	6.6%	(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
	4.4%	(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	6.6%	(acos.f64 (-.f64 #s(literal 1 binary64) x))
	4.9%	(acos.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
	4.8%	(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))))
	4.7%	(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
	7.1%	(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
	4.9%	(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
	7.0%	(acos.f64 (*.f64 x (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
	5.5%	(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
	4.0%	(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
	4.9%	(acos.f64 (.f64 x (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
	5.5%	(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
✓	6.9%	(acos.f64 (neg.f64 x))
✓	3.8%	(acos.f64 #s(literal 1 binary64))

Compiler

Compiled 3148 to 1152 computations (63.4% saved)

regimes64.0ms (0.8%)

Counts

87 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(acos.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 x (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 3 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (asin.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)) (asin.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))
(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))) (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Outputs
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

21.0ms	x
20.0ms	(-.f64 #s(literal 1 binary64) x)
18.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.1%	1	`x`
10.1%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.1%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes28.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(acos.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 x (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (cbrt.f64 #s(literal 1/4 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))

Outputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))

Calls

3 calls:

10.0ms	x
8.0ms	(-.f64 #s(literal 1 binary64) x)
8.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
10.0%	1	`x`
10.0%	1	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`
10.0%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.3%)

Counts

27 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(acos.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 x (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))

Outputs
(acos.f64 (neg.f64 x))
(.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))

Calls

3 calls:

8.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) x)
6.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.2%	2	`x`
9.2%	2	`(-.f64 #s(literal 1 binary64) x)`
9.2%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.3%)

Counts

25 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(acos.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 x (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(acos.f64 (*.f64 x (-.f64 (cbrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(acos.f64 (*.f64 x (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))

Outputs
(acos.f64 (neg.f64 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))

Calls

3 calls:

7.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) x)
6.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.2%	2	`x`
9.2%	2	`(-.f64 #s(literal 1 binary64) x)`
9.2%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(acos.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(acos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 x (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))))
(pow.f64 (cbrt.f64 (acos.f64 x)) #s(literal 3 binary64))
(exp.f64 (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 x (expm1.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))))

Outputs
(acos.f64 (neg.f64 x))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) x)
4.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.2%	2	`x`
9.2%	2	`(-.f64 #s(literal 1 binary64) x)`
9.2%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))

Outputs
(acos.f64 (neg.f64 x))
(+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))

Calls

3 calls:

3.0ms	x
3.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))
2.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
9.2%	2	`(-.f64 #s(literal 1 binary64) x)`
9.2%	2	`x`
9.2%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(acos.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Outputs
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) x)
2.0ms	(acos.f64 (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
9.2%	2	`(-.f64 #s(literal 1 binary64) x)`
9.2%	2	`x`
9.2%	2	`(acos.f64 (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))

Outputs
(acos.f64 (neg.f64 x))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
6.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(acos.f64 #s(literal 1 binary64))

Outputs
(acos.f64 #s(literal 1 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.9802322387695313e-8

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.9802322387695313e-8

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.9802322387695313e-8

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.9802322387695313e-8

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.9802322387695313e-8

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative`
8×	`*-commutative`
7×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	409
1	71	409
2	81	409
3	90	409

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (neg.f64 x))
(acos.f64 #s(literal 1 binary64))

Outputs
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (asin.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (-.f64 (-.f64 (+.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (acos.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (+.f64 (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (neg.f64 x))
(acos.f64 #s(literal 1 binary64))

soundness629.0ms (8%)

Rules

1144×	`log1p-expm1-u`
724×	`fma-define`
475×	`fma-neg`
390×	`log1p-expm1-u`
390×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	321
1	765	243
0	307	3478
1	585	3301
2	1587	3198
3	5586	3163
0	27	346
1	442	248
2	5834	248
0	9	24
1	87	24
2	1021	24

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 568 to 196 computations (65.5% saved)

preprocess54.0ms (0.7%)

Compiler: Compiled 268 to 102 computations (61.9% saved)

analyze0.0ms (0%)

sample2.0s (24.9%)

preprocess42.0ms (0.5%)

explain171.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize40.0ms (0.5%)

series2.0ms (0%)

rewrite203.0ms (2.6%)

simplify101.0ms (1.3%)

eval17.0ms (0.2%)

prune67.0ms (0.9%)

simplify199.0ms (2.5%)

localize410.0ms (5.2%)

series124.0ms (1.6%)

rewrite233.0ms (3%)

simplify269.0ms (3.4%)

eval253.0ms (3.2%)

prune212.0ms (2.7%)

simplify88.0ms (1.1%)

localize385.0ms (4.9%)

series18.0ms (0.2%)

rewrite235.0ms (3%)

simplify305.0ms (3.9%)

eval128.0ms (1.6%)

prune144.0ms (1.8%)

simplify181.0ms (2.3%)

localize395.0ms (5%)

series68.0ms (0.9%)

rewrite153.0ms (1.9%)

simplify305.0ms (3.9%)

eval149.0ms (1.9%)

prune166.0ms (2.1%)

regimes64.0ms (0.8%)

regimes28.0ms (0.4%)

regimes22.0ms (0.3%)

regimes20.0ms (0.3%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness629.0ms (8%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling