Metrics for Ian Simplification

analyze9.0ms (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: 4.0ms

Operation ival-div, time spent: 1.0ms, 23.0% of total-time

Operation ival-sub, time spent: 1.0ms, 23.0% of total-time

Operation ival-mult, time spent: 1.0ms, 23.0% of total-time

Operation ival-asin, time spent: 1.0ms, 23.0% of total-time

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

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

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

sample14.2s (9.4%)

Results

6.8s	4166×	1024	valid
2.2s	2072×	512	valid
996.0ms	1729×	256	valid
703.0ms	289×	2048	valid
1.0ms	8×	256	invalid

Precisions

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

Operation ival-asin, time spent: 3.6s, 44.0% of total-time

Operation ival-div, time spent: 1.3s, 16.0% of total-time

Operation ival-sub, time spent: 1.2s, 15.0% of total-time

Operation ival-mult, time spent: 684.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 671.0ms, 8.0% of total-time

Operation ival-pi, time spent: 560.0ms, 7.0% of total-time

Operation const, time spent: 157.0ms, 2.0% of total-time

Bogosity

preprocess3.5s (2.3%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(-.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)`

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

Results

1.3s	264×	1024	valid
751.0ms	120×	512	valid
183.0ms	102×	256	valid
248.0ms	26×	2048	valid

Compiler

Compiled 118 to 99 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.1s

Operation ival-sub, time spent: 658.0ms, 32.0% of total-time

Operation ival-asin, time spent: 609.0ms, 30.0% of total-time

Operation ival-sqrt, time spent: 382.0ms, 19.0% of total-time

Operation ival-div, time spent: 243.0ms, 12.0% of total-time

Operation ival-mult, time spent: 106.0ms, 5.0% of total-time

Operation ival-pi, time spent: 31.0ms, 2.0% of total-time

Operation const, time spent: 29.0ms, 1.0% of total-time

eval22.0ms (0%)

Compiler: Compiled 59 to 50 computations (15.3% saved)

prune21.0ms (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)

localize1.6s (1.1%)

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))))
✓	9.9%	(-.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))))

✓

9.9%

(-.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

879.0ms	132×	1024	valid
282.0ms	60×	512	valid
140.0ms	51×	256	valid
101.0ms	13×	2048	valid

Compiler

Compiled 52 to 43 computations (17.3% saved)

Precisions

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

Operation ival-asin, time spent: 415.0ms, 36.0% of total-time

Operation ival-div, time spent: 384.0ms, 34.0% of total-time

Operation ival-sqrt, time spent: 194.0ms, 17.0% of total-time

Operation ival-sub, time spent: 91.0ms, 8.0% of total-time

Operation const, time spent: 28.0ms, 2.0% of total-time

Operation ival-mult, time spent: 21.0ms, 2.0% of total-time

Operation ival-pi, time spent: 6.0ms, 1.0% of total-time

series29.0ms (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
2.0ms	x	@	inf	(sqrt (/ (- 1 x) 2))
2.0ms	x	@	-inf	(sqrt (/ (- 1 x) 2))
2.0ms	x	@	0	(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)))))

rewrite1.0s (0.7%)

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 → 161

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

simplify810.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

406×	`*-commutative`
263×	`unsub-neg`
244×	`distribute-lft-in`
239×	`distribute-rgt-in`
238×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	392	9523
1	875	9242
2	2485	8848
3	6616	8746

Stop Event

1×	node limit

Counts

197 → 245

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

eval764.0ms (0.5%)

Compiler: Compiled 6400 to 5526 computations (13.7% saved)

prune262.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	232	13	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	232	14	246

Accuracy

11.3%

Counts

246 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
	7.9%	(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶	1.6%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
	8.0%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 3 binary64))
▶	7.9%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	7.9%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
▶	9.7%	(-.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 x #s(literal -1/2 binary64))))))))
	7.8%	(-.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))))))
▶	4.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
	8.0%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
▶	8.0%	(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	8.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)))

Compiler

Compiled 572 to 525 computations (8.2% saved)

localize50.3s (33.2%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	99.3%	(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	58.1%	(-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
✓	47.8%	(PI.f64)
✓	99.3%	(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	68.1%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	58.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
✓	47.8%	(PI.f64)
✓	99.3%	(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	58.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
✓	58.1%	(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
✓	47.8%	(PI.f64)
✓	99.3%	(asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))
✓	47.8%	(PI.f64)
✓	100.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓	100.0%	(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓	58.1%	(-.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 x #s(literal -1/2 binary64))))))))
✓	47.8%	(PI.f64)

Results

37.6s	138×	8192	exit
9.2s	118×	2048	valid

Compiler

Compiled 360 to 300 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.6s

Operation ival-asin, time spent: 22.8s, 51.0% of total-time

Operation ival-acos, time spent: 4.9s, 11.0% of total-time

Operation ival-mult, time spent: 4.9s, 11.0% of total-time

Operation ival-sqrt, time spent: 3.1s, 7.0% of total-time

Operation ival-pow, time spent: 2.3s, 5.0% of total-time

Operation ival-log, time spent: 1.4s, 3.0% of total-time

Operation ival-sub, time spent: 1.3s, 3.0% of total-time

Operation ival-exp, time spent: 1.3s, 3.0% of total-time

Operation composed, time spent: 906.0ms, 2.0% of total-time

Operation ival-div, time spent: 605.0ms, 1.0% of total-time

Operation ival-add, time spent: 534.0ms, 1.0% of total-time

Operation const, time spent: 503.0ms, 1.0% of total-time

Operation ival-pi, time spent: 17.0ms, 0.0% of total-time

series330.0ms (0.2%)

Counts

18 → 144

Calls

Call 1

Inputs
#<alt (PI.f64)>
#<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 x #s(literal -1/2 binary64))))))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))>
#<alt (PI.f64)>
#<alt (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (PI.f64)>
#<alt (log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (PI.f64)>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))>
#<alt (pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (PI.f64)>
#<alt (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 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 -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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 1/4 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 -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/4 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 -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 -1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 -1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 -1/2 binary64) x)))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 -1/2 binary64) x)))))))>

Calls

36 calls:

Time	Variable		Point	Expression
42.0ms	x	@	inf	(sqrt (+ 1/2 (* x -1/2)))
16.0ms	x	@	inf	(+ (* (PI) 1/2) (* (asin (sqrt (- 1/2 (* x 1/2)))) -2))
10.0ms	x	@	-inf	(- (pow (* (PI) 1/2) 2) (pow (* 2 (asin (sqrt (- 1/2 (* x 1/2))))) 2))
3.0ms	x	@	0	(pow (pow (+ (* (PI) 1/2) (* (asin (sqrt (- 1/2 (* x 1/2)))) -2)) 3) 1/3)
3.0ms	x	@	-inf	(log (exp (+ (* (PI) 1/2) (* (asin (sqrt (- 1/2 (* x 1/2)))) -2))))

rewrite1.5s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

289×	`log1p-expm1-u`
289×	`expm1-log1p-u`
276×	`add-cube-cbrt`
275×	`pow1`
273×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	587
1	663	425

Stop Event

1×	node limit

Counts

18 → 659

Calls

Call 1

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

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

simplify2.7s (1.8%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-neg`
306×	`associate-l`
296×	`associate-r`
295×	`fma-define`
258×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	759	47519
1	1736	42091
2	5901	42052

Stop Event

1×	node limit

Counts

803 → 452

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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/128 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))
(.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (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 1/4 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 -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/4 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 -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
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(neg.f64 (/.f64 (neg.f64 (pow.f64 (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)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (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)))))) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 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 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(acos.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/32 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (-.f64 (/.f64 (.f64 #s(literal -1/32 binary64) x) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(fma.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (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)))))) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))

eval3.8s (2.5%)

Compiler: Compiled 25603 to 21964 computations (14.2% saved)

prune1.4s (0.9%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	747	14	761
Fresh	0	8	8
Picked	1	4	5
Done	0	1	1
Total	748	27	775

Accuracy

11.5%

Counts

775 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
	7.9%	(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶	7.1%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	1.6%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
	8.0%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 3 binary64))
	4.8%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.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)))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
▶	4.8%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	4.1%	(/.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	9.7%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	7.9%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	7.9%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	7.9%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))))
	7.9%	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	7.9%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))
	4.1%	(/.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	7.9%	(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 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))))))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #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))))))))
✓	9.7%	(-.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 x #s(literal -1/2 binary64))))))))
▶	5.7%	(-.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))))))
	7.8%	(-.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))))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
	7.8%	(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))
▶	8.0%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
▶	9.7%	(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
✓	8.0%	(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	8.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)))

Compiler

Compiled 1824 to 1631 computations (10.6% saved)

localize47.4s (31.2%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	98.9%	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64))
✓	98.9%	(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))
✓	58.2%	(-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64)))
	47.8%	(PI.f64)
✓	99.5%	(cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))))
	99.3%	(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	58.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
	47.8%	(PI.f64)
✓	100.0%	(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	68.1%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	58.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
	47.8%	(PI.f64)
	47.8%	(PI.f64)
✓	100.0%	(acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	58.1%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
✓	58.1%	(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	47.8%	(PI.f64)

Results

35.5s	138×	8192	exit
8.4s	118×	2048	valid

Compiler

Compiled 598 to 494 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.1s

Operation ival-asin, time spent: 17.0s, 39.0% of total-time

Operation ival-acos, time spent: 10.3s, 23.0% of total-time

Operation ival-mult, time spent: 4.3s, 10.0% of total-time

Operation composed, time spent: 3.8s, 9.0% of total-time

Operation ival-pow, time spent: 2.4s, 5.0% of total-time

Operation ival-sqrt, time spent: 1.9s, 4.0% of total-time

Operation ival-add, time spent: 1.1s, 3.0% of total-time

Operation ival-sub, time spent: 947.0ms, 2.0% of total-time

Operation ival-exp, time spent: 670.0ms, 2.0% of total-time

Operation ival-log, time spent: 526.0ms, 1.0% of total-time

Operation const, time spent: 517.0ms, 1.0% of total-time

Operation ival-div, time spent: 329.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 232.0ms, 1.0% of total-time

Operation ival-pi, time spent: 35.0ms, 0.0% of total-time

series78.0ms (0.1%)

Counts

11 → 120

Calls

Call 1

Inputs
#<alt (log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))>
#<alt (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))>
#<alt (pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))>
#<alt (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))))>
#<alt (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64))>
#<alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64))>

Outputs
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 6 binary64))))>
#<alt (pow.f64 (+.f64 (.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 -1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 -1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 -1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 -1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 -1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 -1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 -1/2 binary64) x)))))) #s(literal 4 binary64))>
#<alt (pow.f64 (+.f64 (.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 -1/2 binary64) x)))))) #s(literal 4 binary64))>

Calls

30 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(- (pow (* 1/2 (PI)) 6) (pow (* 2 (asin (sqrt (+ (* -1/2 x) 1/2)))) 6))
5.0ms	x	@	0	(cbrt (+ (* (PI) 1/2) (* (asin (sqrt (- 1/2 (* x 1/2)))) -2)))
4.0ms	x	@	inf	(cbrt (+ (* (PI) 1/2) (* (asin (sqrt (- 1/2 (* x 1/2)))) -2)))
3.0ms	x	@	-inf	(cbrt (+ (* (PI) 1/2) (* (asin (sqrt (- 1/2 (* x 1/2)))) -2)))
3.0ms	x	@	-inf	(pow (+ (* 1/2 (PI)) (* 2 (asin (sqrt (+ (* -1/2 x) 1/2))))) 4)

rewrite387.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

277×	`log1p-expm1-u`
277×	`expm1-log1p-u`
268×	`pow1`
267×	`add-cube-cbrt`
264×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	443
1	651	365

Stop Event

1×	node limit

Counts

11 → 296

Calls

Call 1

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

Outputs
(+.f64 (.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 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (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))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (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 (log.f64 (sqrt.f64 (exp.f64 (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)))))) (log.f64 (sqrt.f64 (exp.f64 (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 (exp.f64 (log1p.f64 (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))))) #s(literal 1 binary64))
(.f64 (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))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (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)))) (pow.f64 (cbrt.f64 (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)))) #s(literal 2 binary64)))
(.f64 #s(literal 1 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 (pow.f64 (cbrt.f64 (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)))) #s(literal 2 binary64)) (cbrt.f64 (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)))))
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(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))
(fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))
(fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))))
(*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 6 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/64 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 18 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (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))) #s(literal 4 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (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))) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (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))) #s(literal 4 binary64)))
(.f64 (pow.f64 (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))) #s(literal 2 binary64)) (pow.f64 (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))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (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))) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (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))) #s(literal 8 binary64))))
(.f64 (cbrt.f64 (pow.f64 (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))) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (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))) #s(literal 4 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (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)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (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)))) #s(literal 4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (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)))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (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)))) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (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))) #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 (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))) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (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))) #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (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))) #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (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))) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (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))) #s(literal 4 binary64))))
(exp.f64 (.f64 #s(literal 4 binary64) (log.f64 (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))))))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 (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))))) #s(literal 1 binary64)))

simplify1.1s (0.7%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-neg`
824×	`fma-define`
327×	`exp-prod`
303×	`*-commutative`
247×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	19536
1	755	19333
2	2022	18778
3	6542	18778

Stop Event

1×	node limit

Counts

416 → 246

Calls

Call 1

Inputs
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
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(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))
(fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))
(fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))))
(*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 6 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 12 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/64 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 18 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (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))) #s(literal 4 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (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))) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (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))) #s(literal 4 binary64)))
(.f64 (pow.f64 (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))) #s(literal 2 binary64)) (pow.f64 (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))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (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))) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (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))) #s(literal 8 binary64))))
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(.f64 (pow.f64 (pow.f64 (cbrt.f64 (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)))) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (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)))) #s(literal 4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (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)))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (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)))) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (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))) #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 (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))) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (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))) #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (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))) #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (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))) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (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))) #s(literal 4 binary64))))
(exp.f64 (.f64 #s(literal 4 binary64) (log.f64 (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))))))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 (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))))) #s(literal 1 binary64)))

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

eval5.5s (3.6%)

Compiler: Compiled 58962 to 49469 computations (16.1% saved)

prune585.0ms (0.4%)

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	1528	18	1546
Fresh	3	14	17
Picked	4	1	5
Done	0	5	5
Total	1535	38	1573

Accuracy

11.6%

Counts

1573 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
▶	7.9%	(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	7.1%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	1.6%	(pow.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
	8.0%	(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 3 binary64))
	4.8%	(/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 12 binary64)))) (.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
▶	4.8%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.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)))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	4.8%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	4.8%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	4.8%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (+.f64 (pow.f64 (+.f64 (.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 1/2 binary64) x)))))) #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	4.8%	(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 12 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	4.1%	(/.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	4.1%	(/.f64 (/.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 6 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (pow.f64 (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	9.7%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	7.9%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	7.9%	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64))))
	7.9%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.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 1/2 binary64) x)))))))
	4.1%	(/.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (.f64 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))))))))) (fma.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	7.9%	(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 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))))))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #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))))))))
✓	9.7%	(-.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 x #s(literal -1/2 binary64))))))))
✓	5.7%	(-.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))))))
▶	7.8%	(-.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))))))
✓	4.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
	7.7%	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (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))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (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)))))))
	8.0%	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (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))))) #s(literal 3 binary64)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	8.0%	(.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (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)))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
▶	8.0%	(.f64 (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (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)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	7.8%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
▶	9.8%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	7.7%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal -2 binary64)))))
	9.8%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	8.0%	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (.f64 #s(literal -2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))
	7.5%	(log.f64 (exp.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	9.7%	(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -2 binary64)))))
✓	8.0%	(log.f64 (exp.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	8.0%	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))))
	8.0%	(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64))) #s(literal 3 binary64)))

Compiler

Compiled 2566 to 2288 computations (10.8% saved)

localize14.4s (9.5%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	98.5%	(pow.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	97.6%	(pow.f64 (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64))
✓	97.5%	(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64))
✓	10.1%	(-.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 6 binary64)))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	13.6%	(log.f64 (exp.f64 (cbrt.f64 (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))))))
✓	9.9%	(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)))
	9.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓	98.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))))
	98.5%	(asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	7.9%	(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))))) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	100.0%	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
✓	98.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
✓	98.5%	(asin.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
✓	9.9%	(-.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)))))))
✓	98.4%	(pow.f64 (PI.f64) #s(literal 3 binary64))
✓	98.4%	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
✓	9.9%	(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
	9.9%	(fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (asin.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)))

Results

7.6s	132×	1024	valid
2.0s	59×	512	valid
772.0ms	51×	256	valid
1.5s	14×	2048	valid

Compiler

Compiled 773 to 653 computations (15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.5s

Operation ival-asin, time spent: 4.1s, 35.0% of total-time

Operation ival-mult, time spent: 2.1s, 19.0% of total-time

Operation composed, time spent: 1.6s, 14.0% of total-time

Operation ival-sqrt, time spent: 895.0ms, 8.0% of total-time

Operation ival-pow, time spent: 738.0ms, 6.0% of total-time

Operation ival-add, time spent: 613.0ms, 5.0% of total-time

Operation ival-sub, time spent: 454.0ms, 4.0% of total-time

Operation const, time spent: 267.0ms, 2.0% of total-time

Operation ival-div, time spent: 248.0ms, 2.0% of total-time

Operation ival-cbrt, time spent: 218.0ms, 2.0% of total-time

Operation ival-log, time spent: 167.0ms, 1.0% of total-time

Operation ival-exp, time spent: 92.0ms, 1.0% of total-time

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

Operation ival-pi, time spent: 9.0ms, 0.0% of total-time

Ian Simplification

analyze9.0ms (0%)

sample14.2s (9.4%)

preprocess3.5s (2.3%)

eval22.0ms (0%)

prune21.0ms (0%)

localize1.6s (1.1%)

series29.0ms (0%)

rewrite1.0s (0.7%)

simplify810.0ms (0.5%)

eval764.0ms (0.5%)

prune262.0ms (0.2%)

localize50.3s (33.2%)

series330.0ms (0.2%)

rewrite1.5s (1%)

simplify2.7s (1.8%)

eval3.8s (2.5%)

prune1.4s (0.9%)

localize47.4s (31.2%)

series78.0ms (0.1%)

rewrite387.0ms (0.3%)

simplify1.1s (0.7%)

eval5.5s (3.6%)

prune585.0ms (0.4%)

localize14.4s (9.5%)

end0.0ms (0%)

Profiling