Metrics for Ian Simplification

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

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 13 computations (13.3% saved)

sample3.3s (68%)

Memory

30.8MiB live, 3 226.4MiB allocated; 916ms collecting garbage

Samples

1.9s	3 341×	2	valid
1.1s	4 801×	1	valid
8.0ms	114×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-asin: 1.7s (63.3% of total)

adjust: 319.0ms (12.2% of total)

ival-sqrt: 226.0ms (8.7% of total)

ival-mult!: 188.0ms (7.2% of total)

ival-sub!: 122.0ms (4.7% of total)

ival-div!: 104.0ms (4% of total)

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

Bogosity

preprocess71.0ms (1.4%)

Memory

-30.1MiB live, 62.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	114	42

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.1%	(-.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 26 to 22 computations (15.4% saved)

series107.0ms (2.2%)

Memory

4.2MiB live, 97.9MiB allocated; 46ms collecting garbage

Counts

11 → 29

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

Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.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))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.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))))))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) (.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (- 1 x) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	-inf
2.0ms	x	inf
1.0ms	x	0

rewrite181.0ms (3.7%)

Memory

17.1MiB live, 107.1MiB allocated; 28ms collecting garbage

Counts

11 → 52

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

Outputs
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 (PI.f64)))
(PI.f64)
(neg.f64 (neg.f64 (PI.f64)))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) x)) (sqrt.f64 (-.f64 #s(literal 2 binary64) x)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) x))) (fabs.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x)) (sqrt.f64 (-.f64 #s(literal 2 binary64) x)))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) x)) (sqrt.f64 (-.f64 #s(literal 2 binary64) x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x))
(*.f64 (+.f64 #s(literal 2 binary64) (fabs.f64 x)) (-.f64 #s(literal 2 binary64) (fabs.f64 x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x))
(*.f64 (+.f64 #s(literal 2 binary64) (fabs.f64 x)) (-.f64 #s(literal 2 binary64) (fabs.f64 x)))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 2 binary64))
x
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(+.f64 x x)
(/.f64 x #s(literal 2 binary64))

eval27.0ms (0.6%)

Memory: 20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 117 to 338 computations (69.7% saved)

prune13.0ms (0.3%)

Memory

-36.4MiB live, 9.4MiB allocated; 14ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	5	55

Accuracy

8.8%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))
▶	4.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
▶	6.1%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
▶	3.8%	#s(literal 1 binary64)
▶	5.4%	#s(literal 0 binary64)

Compiler

Compiled 134 to 120 computations (10.4% saved)

series175.0ms (3.5%)

Memory

-57.4MiB live, 94.6MiB allocated; 143ms collecting garbage

Counts

29 → 34

Calls

Call 1

Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
(-.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 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 0 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))
(.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)

Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (* 1/2 (- 1 x))))) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* 1/2 (- 1 x))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (+.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))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (+.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))))))))
#s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (- 1 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (* 1/2 (- 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (* 1/2 (- 1 x))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* 1/2 (- 1 x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* 1/2 (- 1 x)) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/2 (/ 1 x)) 1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) (.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (* 1/2 (- 1 x))))) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (* 1/2 (- 1 x)))) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (* 1/2 (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (* 1/2 (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (* 1/2 (- 1 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	-inf
2.0ms	x	0
2.0ms	x	inf

rewrite211.0ms (4.3%)

Memory

38.6MiB live, 129.9MiB allocated; 28ms collecting garbage

Counts

29 → 98

Calls

Call 1

Inputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
(-.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 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 0 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))
(.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)

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

eval42.0ms (0.9%)

Memory: -17.7MiB live, 34.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 596 to 811 computations (77.4% saved)

prune9.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	121	6	127
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	123	9	132

Accuracy

8.8%

Counts

132 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
▶	6.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
	3.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))))))
✓	6.1%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
▶	4.0%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
▶	3.7%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))
▶	3.8%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)))
✓	3.8%	#s(literal 1 binary64)
✓	5.4%	#s(literal 0 binary64)

Compiler

Compiled 293 to 247 computations (15.7% saved)

series96.0ms (1.9%)

Memory

3.9MiB live, 97.1MiB allocated; 4ms collecting garbage

Counts

31 → 28

Calls

Call 1

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

Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.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))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.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))))))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx x x)
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- (/ 1/2 x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/2 x) 1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) (.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (- 1 x) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	-inf
1.0ms	x	0
1.0ms	x	inf

rewrite240.0ms (4.9%)

Memory

-3.5MiB live, 170.5MiB allocated; 73ms collecting garbage

Counts

31 → 81

Calls

Call 1

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

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

eval15.0ms (0.3%)

Memory: 23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 937 to 603 computations (79.5% saved)

prune10.0ms (0.2%)

Memory

-36.8MiB live, 9.2MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	0	1
Picked	0	5	5
Done	0	3	3
Total	120	10	130

Accuracy

8.8%

Counts

130 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
✓	6.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
▶	3.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x))))))
▶	3.7%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64)))
✓	6.1%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
✓	4.0%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
✓	3.7%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))
✓	3.8%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)))
✓	3.8%	#s(literal 1 binary64)
✓	5.4%	#s(literal 0 binary64)

Compiler

Compiled 180 to 155 computations (13.9% saved)

series103.0ms (2.1%)

Memory

-3.2MiB live, 52.8MiB allocated; 25ms collecting garbage

Counts

18 → 28

Calls

Call 1

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

Outputs
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) 2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.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))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (+.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))))))))
#s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))
#s(approx (/ (- 1 x) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1/2 x) 1/2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx x x)
#s(approx (sqrt (/ (- 1 x) 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (- 1 x) 2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- (/ 1/2 x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/2 x) 1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) (.f64 #s(literal -1 binary64) x))))))))
#s(approx (* 2 (asin (sqrt (/ (- 1 x) 2)))) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (asin (sqrt (/ (- 1 x) 2))) (asin.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (/ (- 1 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))) (.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (- 1 x) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	0
1.0ms	x	-inf
1.0ms	x	inf

rewrite185.0ms (3.8%)

Memory

24.8MiB live, 72.4MiB allocated; 7ms collecting garbage

Counts

18 → 55

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 843 to 418 computations (77.3% saved)

prune7.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	70	10	80

Accuracy

8.8%

Counts

80 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.8%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
✓	6.0%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
✓	3.9%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x))))))
✓	3.7%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64)))
✓	6.1%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
✓	4.0%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
✓	3.7%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))
✓	3.8%	#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)))
✓	3.8%	#s(literal 1 binary64)
✓	5.4%	#s(literal 0 binary64)

Compiler

Compiled 180 to 155 computations (13.9% saved)

regimes49.0ms (1%)

Memory

-0.0MiB live, 45.8MiB allocated; 5ms collecting garbage

Accuracy

Total -2.0b remaining (-1.6%)

Threshold costs -2b (-1.6%)

Counts

8 → 1

14 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))))

Outputs
#s(literal 0 binary64)

Call 2

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (PI.f64)) #s(literal 1 binary64)))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (* 1/2 (- 1 x)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
#s(approx (- (/ (PI) 2) (* 2 (asin (sqrt (/ (- 1 x) 2))))) (-.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 binary64) x)))))))
(-.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 #s(approx (/ (- 1 x) 2) (.f64 x #s(approx (- (* 1/2 (/ 1 x)) 1/2) (/.f64 #s(literal 1/2 binary64) x))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 #s(approx (- (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 x) 2) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))))

Outputs

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

Calls

14 calls:

4.0ms	x
3.0ms	(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
3.0ms	(-.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))))))
3.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
3.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
5.4%	1	`(-.f64 #s(literal 1 binary64) x)`
5.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
5.4%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
5.4%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
5.4%	1	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
5.4%	1	`(-.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))))))`
5.4%	1	`x`
6.1%	1	`(-.f64 #s(literal 1 binary64) x)`
6.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))`
6.1%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))`
6.1%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))`
6.1%	1	`(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))`
6.1%	1	`(-.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))))))`
6.1%	1	`x`

Compiler

Compiled 346 to 174 computations (49.7% saved)

derivations1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 24 computations (14.3% saved)

preprocess21.0ms (0.4%)

Memory: -26.7MiB live, 20.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 41 to 35 computations (14.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze3.0ms (0.1%)

sample3.3s (68%)

preprocess71.0ms (1.4%)

series107.0ms (2.2%)

rewrite181.0ms (3.7%)

eval27.0ms (0.6%)

prune13.0ms (0.3%)

series175.0ms (3.5%)

rewrite211.0ms (4.3%)

eval42.0ms (0.9%)

prune9.0ms (0.2%)

series96.0ms (1.9%)

rewrite240.0ms (4.9%)

eval15.0ms (0.3%)

prune10.0ms (0.2%)

series103.0ms (2.1%)

rewrite185.0ms (3.8%)

eval10.0ms (0.2%)

prune7.0ms (0.1%)

regimes49.0ms (1%)

derivations1.0ms (0%)

preprocess21.0ms (0.4%)

end0.0ms (0%)

Profiling