Metrics for Ian Simplification

analyze5.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (37.6% of total)

ival-asin: 1.0ms (37.6% of total)

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

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

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

const: 0.0ms (0% of total)

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

sample4.7s (12.7%)

Results

1.8s	4925×	1	valid
2.2s	3001×	2	valid
50.0ms	330×	0	valid
0.0ms	1×	0	invalid

Precisions

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

ival-asin: 1.5s (45.4% of total)

backward-pass: 443.0ms (13.8% of total)

ival-div: 407.0ms (12.7% of total)

ival-sub: 287.0ms (8.9% of total)

ival-mult: 228.0ms (7.1% of total)

ival-sqrt: 191.0ms (5.9% of total)

ival-pi: 143.0ms (4.5% of total)

const: 55.0ms (1.7% of total)

Bogosity

preprocess92.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

233×	`fma-neg`
181×	`fma-define`
59×	`cancel-sign-sub-inv`
52×	`sub-neg`
49×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	188
1	55	180
2	105	164
3	224	152
4	382	144
5	610	144
6	798	144
7	982	144
8	1086	144
9	1124	144
10	1131	144

Stop Event

1×

saturated

Calls

Call 1

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

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

explain708.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))`
0	-	-	`(PI.f64)`
0	-	-	`x`
0	-	-	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
0	-	-	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
0	-	-	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`

Results

295.0ms	214×	1024	valid
155.0ms	162×	512	valid
46.0ms	112×	256	valid
48.0ms	24×	2048	valid

Compiler

Compiled 118 to 99 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 452.0ms

ival-asin: 217.0ms (48% of total)

ival-div: 103.0ms (22.8% of total)

ival-sub: 47.0ms (10.4% of total)

ival-sqrt: 39.0ms (8.6% of total)

ival-mult: 28.0ms (6.2% of total)

const: 11.0ms (2.4% of total)

ival-pi: 8.0ms (1.8% of total)

eval1.0ms (0%)

Compiler: Compiled 12 to 11 computations (8.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

localize301.0ms (0.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	98.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))

New

Accuracy

Program

✓

100.0%

(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))

✓

98.5%

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))

✓

9.3%

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

Results

141.0ms	107×	1024	valid
61.0ms	81×	512	valid
19.0ms	56×	256	valid
28.0ms	12×	2048	valid

Compiler

Compiled 52 to 43 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-asin: 111.0ms (54.6% of total)

ival-div: 28.0ms (13.8% of total)

ival-sub: 24.0ms (11.8% of total)

ival-sqrt: 21.0ms (10.3% of total)

ival-mult: 10.0ms (4.9% of total)

const: 5.0ms (2.5% of total)

ival-pi: 4.0ms (2% of total)

series8.0ms (0%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))>
#<alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))>

Inputs

#<alt (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))>

#<alt (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))>

#<alt (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))>

Outputs
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt (/ (- 1 x) 2))
1.0ms	x	@	-inf	(sqrt (/ (- 1 x) 2))
1.0ms	x	@	0	(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
1.0ms	x	@	-inf	(- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2)))))
1.0ms	x	@	0	(sqrt (/ (- 1 x) 2))

rewrite313.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1153×	`log1p-expm1-u`
1153×	`expm1-log1p-u`
340×	`fma-define`
195×	`fma-neg`
193×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	232	84
2	3138	84

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs

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

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))

(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))

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

simplify153.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

328×	`sub-neg`
277×	`distribute-lft-in`
270×	`distribute-rgt-in`
262×	`cancel-sign-sub-inv`
255×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	406	10679
1	952	10358
2	2764	9969
3	7018	9905

Stop Event

1×	node limit

Counts

203 → 220

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (.f64 (.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64))))) #s(literal 1 binary64))
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(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(fabs.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Outputs
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1/16 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 x (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 x (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 x (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 x (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(.f64 (neg.f64 x) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(fma.f64 (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))
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(+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))

eval354.0ms (1%)

Compiler: Compiled 11458 to 9818 computations (14.3% saved)

prune69.0ms (0.2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	402	21	423
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	402	22	424

Accuracy

11.1%

Counts

424 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	8.2%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	8.1%	(fma.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
	8.3%	(fma.f64 (.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
	7.9%	(fma.f64 (.f64 #s(literal -2 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)))
	7.8%	(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
	2.2%	(pow.f64 (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
	7.9%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
	7.9%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
▶	7.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
	8.0%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))) (/.f64 (.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))))
▶	7.9%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
▶	9.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
	7.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
	8.5%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
▶	4.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
	7.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))))
	8.0%	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
▶	7.9%	(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
	8.0%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
	2.2%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))

Compiler

Compiled 1256 to 1129 computations (10.1% saved)

localize10.8s (29.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
✓	99.9%	(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
✓	98.5%	(asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	9.5%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓	99.5%	(/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓	98.5%	(asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	9.3%	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓	100.0%	(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓	98.5%	(asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	9.4%	(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
✓	9.3%	(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
✓	98.4%	(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓	100.0%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
✓	100.0%	(acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
✓	99.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))

Results

10.0s

256×

2048

valid

Compiler

Compiled 516 to 421 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.1s

ival-asin: 3.5s (38.1% of total)

ival-pow: 2.6s (28.4% of total)

ival-mult: 1.1s (12% of total)

ival-acos: 650.0ms (7.1% of total)

ival-sub: 448.0ms (4.9% of total)

ival-div: 374.0ms (4.1% of total)

ival-sqrt: 113.0ms (1.2% of total)

ival-exp: 111.0ms (1.2% of total)

ival-log: 102.0ms (1.1% of total)

const: 94.0ms (1% of total)

ival-add: 69.0ms (0.8% of total)

ival-pi: 5.0ms (0.1% of total)

series48.0ms (0.1%)

Counts

17 → 192

Calls

Call 1

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

Outputs
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))>
#<alt (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))>
#<alt (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
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#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))))>

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(- (/ (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))))) (/ (pow (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))) 2) (+ (* (PI) 1/2) (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))))))
3.0ms	x	@	-inf	(- (/ (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))))) (/ (pow (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))) 2) (+ (* (PI) 1/2) (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))))))
2.0ms	x	@	0	(- (/ (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))))) (/ (pow (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))) 2) (+ (* (PI) 1/2) (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))))))
2.0ms	x	@	0	(- (* (* (PI) (PI)) 1/4) (pow (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))) 2))
2.0ms	x	@	-inf	(/ (+ (* (PI) 1/2) (* 2 (asin (pow (* (- 1 x) 1/2) 1/2)))) (- (* (* (PI) (PI)) 1/4) (pow (* 2 (asin (pow (* (- 1 x) 1/2) 1/2))) 2)))

rewrite337.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`log1p-expm1-u`
290×	`expm1-log1p-u`
285×	`add-cube-cbrt`
281×	`add-exp-log`
279×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	667
1	771	612

Stop Event

1×	node limit

Counts

17 → 1153

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
(asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))

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

simplify746.0ms (2%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-define`
554×	`times-frac`
274×	`distribute-rgt-in`
252×	`distribute-lft-in`
223×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1209	164233
1	3360	160062

Stop Event

1×	node limit

Counts

1345 → 640

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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(pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (pow.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
(exp.f64 (log.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)))

Outputs
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal -1/16 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))
(/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (pow.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))
(/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))
(/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64))))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (pow.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
(/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))))
(/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
(/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(exp.f64 (log.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
(/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))

eval6.9s (18.8%)

Compiler: Compiled 168652 to 142835 computations (15.3% saved)

prune1.4s (3.8%)

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	3106	34	3140
Fresh	6	10	16
Picked	3	2	5
Done	0	1	1
Total	3115	47	3162

Accuracy

11.4%

Counts

3162 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	7.9%	(fma.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (neg.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
	8.0%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (neg.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
	8.3%	(fma.f64 (.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
	7.9%	(fma.f64 (.f64 #s(literal -2 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)))
	7.8%	(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))
	2.2%	(pow.f64 (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
▶	7.9%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
	8.0%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
	7.9%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64))))
	7.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
	7.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (cbrt.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))))
	7.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
	7.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64))))
	8.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 6 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)))))))
	8.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
	9.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
	7.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))))
	7.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))))
	6.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (fabs.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))))))
	6.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
	2.2%	(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))))
	2.2%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))))
▶	8.0%	(/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) #s(literal 3 binary64))))
	7.9%	(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))))
	8.4%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
▶	8.0%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
	8.0%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))
▶	9.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
▶	5.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
	8.5%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓	8.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
✓	4.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
	7.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))))
	8.0%	(-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
	7.9%	(-.f64 (log.f64 (exp.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
	8.5%	(+.f64 (fma.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (neg.f64 (.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))) (cbrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))) (cbrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))) (cbrt.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))))
	7.9%	(+.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
	8.0%	(+.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (fma.f64 (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))))
	7.8%	(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
	7.9%	(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64))))))
	9.2%	(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))
	8.5%	(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))))
	7.9%	(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64)))))
	8.0%	(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
	2.2%	(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))))

Compiler

Compiled 3968 to 3517 computations (11.4% saved)

localize9.4s (25.5%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	98.5%	(asin.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	98.5%	(asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	98.5%	(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓	9.5%	(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓	100.0%	(pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
✓	99.6%	(/.f64 (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))))
✓	98.5%	(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
✓	7.9%	(fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal -4 binary64)))
✓	99.5%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) #s(literal 3 binary64))
✓	98.5%	(asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	43.8%	(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))) #s(literal 3 binary64)))
✓	9.3%	(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (asin.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
✓	100.0%	(acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
✓	100.0%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	99.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	9.3%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))

Results

8.6s

256×

2048

valid

Compiler

Compiled 615 to 516 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.1s

ival-asin: 3.1s (37.9% of total)

ival-pow: 2.4s (29.4% of total)

ival-mult: 828.0ms (10.2% of total)

ival-acos: 738.0ms (9.1% of total)

ival-sub: 353.0ms (4.3% of total)

ival-sqrt: 248.0ms (3% of total)

ival-div: 193.0ms (2.4% of total)

const: 108.0ms (1.3% of total)

ival-add: 94.0ms (1.2% of total)

composed: 80.0ms (1% of total)

ival-cbrt: 19.0ms (0.2% of total)

ival-pi: 5.0ms (0.1% of total)

series39.0ms (0.1%)

Counts

15 → 172

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(cbrt (pow (/ 1 (+ (* (PI) 1/2) (* (asin (pow (* 1/2 (- 1 x)) 1/2)) -2))) 3))
4.0ms	x	@	inf	(cbrt (pow (/ 1 (+ (* (PI) 1/2) (* (asin (pow (* 1/2 (- 1 x)) 1/2)) -2))) 3))
1.0ms	x	@	inf	(pow (/ 1 (+ (* (PI) 1/2) (* (asin (pow (* 1/2 (- 1 x)) 1/2)) -2))) 3)
1.0ms	x	@	-inf	(pow (/ 1 (+ (* (PI) 1/2) (* (asin (pow (* 1/2 (- 1 x)) 1/2)) -2))) 3)
1.0ms	x	@	0	(pow (/ 1 (+ (* (PI) 1/2) (* (asin (pow (* 1/2 (- 1 x)) 1/2)) -2))) 3)

rewrite199.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

321×	`log1p-expm1-u`
321×	`expm1-log1p-u`
311×	`add-cube-cbrt`
309×	`pow1`
308×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	626
1	1037	612

Stop Event

1×	node limit

Counts

15 → 648

Calls

Call 1

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

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

simplify253.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

437×	`associate-r`
417×	`associate-l`
325×	`fma-define`
275×	`times-frac`
273×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	897	76277
1	2237	65915
2	7897	65915

Stop Event

1×	node limit

Ian Simplification

analyze5.0ms (0%)

sample4.7s (12.7%)

preprocess92.0ms (0.2%)

explain708.0ms (1.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize301.0ms (0.8%)

series8.0ms (0%)

rewrite313.0ms (0.9%)

simplify153.0ms (0.4%)

eval354.0ms (1%)

prune69.0ms (0.2%)

localize10.8s (29.4%)

series48.0ms (0.1%)

rewrite337.0ms (0.9%)

simplify746.0ms (2%)

eval6.9s (18.8%)

prune1.4s (3.8%)

localize9.4s (25.5%)

series39.0ms (0.1%)

rewrite199.0ms (0.5%)

simplify253.0ms (0.7%)

end0.0ms (0%)

Profiling