Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB 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
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.7s (63.3%)

Memory

-124.6MiB live, 1 688.4MiB allocated; 1.7s collecting garbage

Samples

679.0ms	8 256×	0	valid
1.0ms	11×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-div!: 111.0ms (32% of total)

ival-log: 94.0ms (27.1% of total)

ival-sqrt: 61.0ms (17.6% of total)

ival-mult!: 41.0ms (11.8% of total)

ival-sub!: 22.0ms (6.4% of total)

ival-add!: 16.0ms (4.6% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess124.0ms (4.5%)

Memory

-7.9MiB live, 44.8MiB allocated; 94ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	113	25
2	563	24
3	3397	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series18.0ms (0.6%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1326

Stop Event

1×	iter-limit

Counts

9 → 51

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x))
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) x))
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (* x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (- 1 (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x)) #s(literal 1 binary64)) x))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))

Calls

3 calls:

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

rewrite228.0ms (8.3%)

Memory

-0.6MiB live, 192.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	52
0	16	34
1	97	34
2	476	34
3	3140	34
0	6334	34

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

9 → 642

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

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

eval136.0ms (5%)

Memory: 11.2MiB live, 197.7MiB allocated; 27ms collecting garbage
Compiler: Compiled 16 898 to 4 379 computations (74.1% saved)

prune12.0ms (0.4%)

Memory

-16.3MiB live, 29.9MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	683	2	685
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	684	2	686

Accuracy

100.0%

Counts

686 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
▶	99.5%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))

Compiler

Compiled 28 to 21 computations (25% saved)

series12.0ms (0.4%)

Memory

33.7MiB live, 33.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1303

Stop Event

1×	iter-limit

Counts

13 → 51

Calls

Call 1

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

Outputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/32 binary64))) #s(literal 1/4 binary64))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))) x))
#s(approx x x)
#s(approx (- (sqrt (- 1 (* x x))) -1) #s(literal 2 binary64))
#s(approx (- (sqrt (- 1 (* x x))) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (* x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (- 1 (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x)) #s(literal 1 binary64)) x))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x))))))
#s(approx (- (sqrt (- 1 (* x x))) -1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x))) x))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))

Calls

3 calls:

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

rewrite294.0ms (10.8%)

Memory

-39.9MiB live, 339.3MiB allocated; 155ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	27	61
1	142	61
2	606	61
3	3577	61
0	6830	61

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

13 → 613

Calls

Call 1

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

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

eval109.0ms (4%)

Memory: 43.0MiB live, 227.3MiB allocated; 34ms collecting garbage
Compiler: Compiled 15 418 to 4 330 computations (71.9% saved)

prune12.0ms (0.4%)

Memory

-18.3MiB live, 27.7MiB allocated; 4ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	651	0	651
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	651	2	653

Accuracy

100.0%

Counts

653 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
✓	99.5%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))

Compiler

Compiled 28 to 21 computations (25% saved)

regimes8.0ms (0.3%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

3 → 1

Calls

Call 1

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

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))

Call 2

Inputs

(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))

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

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Outputs
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))

Calls

6 calls:

1.0ms	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
1.0ms	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
1.0ms	x
1.0ms	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
1.0ms	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Results

Accuracy	Segments	Branch
99.5%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
99.5%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.5%	1	`x`
100.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
100.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
100.0%	1	`x`

Compiler

Compiled 93 to 60 computations (35.5% saved)

derivations33.0ms (1.2%)

Memory

-32.4MiB live, 13.2MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 20 computations (28.6% saved)

preprocess15.0ms (0.5%)

Memory: 33.1MiB live, 33.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 41 to 29 computations (29.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.7s (63.3%)

preprocess124.0ms (4.5%)

series18.0ms (0.6%)

rewrite228.0ms (8.3%)

eval136.0ms (5%)

prune12.0ms (0.4%)

series12.0ms (0.4%)

rewrite294.0ms (10.8%)

eval109.0ms (4%)

prune12.0ms (0.4%)

regimes8.0ms (0.3%)

derivations33.0ms (1.2%)

preprocess15.0ms (0.5%)

end0.0ms (0%)

Profiling