Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB 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)

sample779.0ms (26%)

Memory

-8.4MiB live, 880.4MiB allocated; 181ms collecting garbage

Samples

561.0ms	8 256×	0	valid
1.0ms	12×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 371.0ms

ival-div!: 101.0ms (27.2% of total)

ival-log: 86.0ms (23.2% of total)

ival-sqrt: 66.0ms (17.8% of total)

ival-sub!: 57.0ms (15.3% of total)

ival-mult!: 43.0ms (11.6% of total)

ival-add!: 18.0ms (4.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess59.0ms (2%)

Memory

1.3MiB live, 46.4MiB allocated; 7ms 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
▶	99.6%	(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)

series147.0ms (4.9%)

Memory

35.1MiB live, 135.4MiB allocated; 21ms collecting garbage

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

rewrite159.0ms (5.3%)

Memory

-22.4MiB live, 167.8MiB allocated; 19ms collecting garbage

Counts

9 → 35

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

eval8.0ms (0.3%)

Memory: 18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 895 to 427 computations (77.5% saved)

prune2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Accuracy

100.0%

Counts

79 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
▶	98.6%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	98.7%	#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))))

Status

Accuracy

Program

▶

99.6%

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

▶

98.6%

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

▶

98.7%

#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))))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series279.0ms (9.3%)

Memory

0.6MiB live, 279.0MiB allocated; 115ms collecting garbage

Counts

18 → 56

Calls

Call 1

Inputs
#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))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal -1 binary64) (log.f64 x))
#s(literal -1 binary64)
(log.f64 x)
x
(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)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(+.f64 #s(literal 1 binary64) (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))
(*.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 (log x)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
#s(approx (log x) (log.f64 x))
#s(approx x x)
#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 (sqrt (- 1 (* x x)))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (+.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 (+ 1 (sqrt (- 1 (* x x)))) (+.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 (+ (log 2) (* -1 (log x))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* -1 (log x)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (log x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#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 (+ 1 (sqrt (- 1 (* x x)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (.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 (+ 1 (sqrt (- 1 (* x x)))) (.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 (+ 1 (sqrt (- 1 (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (sqrt (- 1 (* x x)))) (.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 (+ 1 (sqrt (- 1 (* x x)))) (.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
45.0ms	x	0
36.0ms	x	-inf
34.0ms	x	inf

rewrite375.0ms (12.5%)

Memory

16.7MiB live, 206.2MiB allocated; 46ms collecting garbage

Counts

18 → 666

Calls

Call 1

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

Outputs
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 #s(literal 1/2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64) (neg.f64 (log.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)) (neg.f64 (log.f64 #s(literal 1/2 binary64))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (neg.f64 (log.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (neg.f64 (log.f64 #s(literal 1/2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(neg.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x))))
(log.f64 #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x x))
(*.f64 x (/.f64 #s(literal 2 binary64) x))
(fabs.f64 #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) x)
(/.f64 (+.f64 #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 x x) x)
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))
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(/.f64 (+.f64 (sin.f64 (-.f64 (acos.f64 (fabs.f64 x)) (neg.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 (fabs.f64 x)) (neg.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) (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) (neg.f64 (asin.f64 x)))) (sin.f64 (+.f64 (acos.f64 x) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (fabs.f64 x)) (asin.f64 x))) (cos.f64 (-.f64 (asin.f64 (fabs.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (fabs.f64 x)) (asin.f64 (fabs.f64 x)))) (cos.f64 (-.f64 (asin.f64 (fabs.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (fabs.f64 x)) (fabs.f64 (asin.f64 x)))) (cos.f64 (-.f64 (asin.f64 (fabs.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 (fabs.f64 x)) (neg.f64 (asin.f64 x)))) (cos.f64 (-.f64 (asin.f64 (fabs.f64 x)) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (asin.f64 x)) (asin.f64 x))) (cos.f64 (-.f64 (fabs.f64 (asin.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (asin.f64 x)) (asin.f64 (fabs.f64 x)))) (cos.f64 (-.f64 (fabs.f64 (asin.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (asin.f64 x)) (fabs.f64 (asin.f64 x)))) (cos.f64 (-.f64 (fabs.f64 (asin.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (asin.f64 x)) (neg.f64 (asin.f64 x)))) (cos.f64 (-.f64 (fabs.f64 (asin.f64 x)) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (asin.f64 x)) (asin.f64 x))) (cos.f64 (-.f64 (neg.f64 (asin.f64 x)) (asin.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (asin.f64 x)) (asin.f64 (fabs.f64 x)))) (cos.f64 (-.f64 (neg.f64 (asin.f64 x)) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (asin.f64 x)) (fabs.f64 (asin.f64 x)))) (cos.f64 (-.f64 (neg.f64 (asin.f64 x)) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (asin.f64 x)) (neg.f64 (asin.f64 x)))) (cos.f64 (-.f64 (neg.f64 (asin.f64 x)) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 x) (asin.f64 (fabs.f64 x)))) (cos.f64 (-.f64 (asin.f64 x) (asin.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 x) (fabs.f64 (asin.f64 x)))) (cos.f64 (-.f64 (asin.f64 x) (fabs.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (asin.f64 x) (neg.f64 (asin.f64 x)))) (cos.f64 (-.f64 (asin.f64 x) (neg.f64 (asin.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (neg.f64 x)) (acos.f64 x))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (neg.f64 x)) (acos.f64 (neg.f64 x)))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (neg.f64 x)) (acos.f64 (fabs.f64 x)))) (cos.f64 (+.f64 (acos.f64 (neg.f64 x)) (acos.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (fabs.f64 x)) (acos.f64 x))) (cos.f64 (+.f64 (acos.f64 (fabs.f64 x)) (acos.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (neg.f64 x)))) (cos.f64 (+.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (fabs.f64 x)))) (cos.f64 (+.f64 (acos.f64 (fabs.f64 x)) (acos.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 x) (acos.f64 (neg.f64 x)))) (cos.f64 (+.f64 (acos.f64 x) (acos.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (acos.f64 x) (acos.f64 (fabs.f64 x)))) (cos.f64 (+.f64 (acos.f64 x) (acos.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 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)) (neg.f64 (-.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 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 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 (neg.f64 (neg.f64 (-.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 (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 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 x) (neg.f64 (*.f64 x x)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) 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 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (neg.f64 (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) (neg.f64 (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal 1 binary64)) (neg.f64 (*.f64 x x)))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (*.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(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 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1 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 (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (-.f64 (fabs.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 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) (neg.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (fabs.f64 x) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 x) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(neg.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.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 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))

eval111.0ms (3.7%)

Memory: 1.7MiB live, 138.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 20 264 to 4 269 computations (78.9% saved)

prune15.0ms (0.5%)

Memory

-21.6MiB live, 24.8MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	905	2	907
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	907	3	910

Accuracy

100.0%

Counts

910 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
✓	98.6%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	99.0%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

99.6%

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

✓

98.6%

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

▶

99.0%

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

Compiler

Compiled 47 to 35 computations (25.5% saved)

series159.0ms (5.3%)

Memory

-0.6MiB live, 95.7MiB allocated; 14ms collecting garbage

Counts

14 → 56

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(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 (neg (log (/ x 2))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))
#s(approx (log (/ x 2)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (/ (- (sqrt (- 1 (* x x))) -1) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (sqrt (- 1 (* x x))) -1) x) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ (- (sqrt (- 1 (* x x))) -1) 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 (/ (- (sqrt (- 1 (* x x))) -1) 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 (- (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 (neg (log (/ x 2))) (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (log (/ x 2)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (sqrt (- 1 (* x x))) -1) x) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (/ (- (sqrt (- 1 (* x x))) -1) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (sqrt (- 1 (* x x))) -1) 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) 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 (/ (- (sqrt (- 1 (* x x))) -1) x) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- (sqrt (- 1 (* x x))) -1) x) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (sqrt (- 1 (* x x))) -1) 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 (/ (- (sqrt (- 1 (* x x))) -1) 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
12.0ms	x	0
9.0ms	x	-inf
7.0ms	x	inf

rewrite429.0ms (14.3%)

Memory

42.2MiB live, 225.1MiB allocated; 87ms collecting garbage

Counts

14 → 615

Calls

Call 1

Inputs
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(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) (tan (acos x)))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 x (*.f64 #s(literal 0 binary64) x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (asin.f64 x))))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x x) x)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(cos.f64 (acos.f64 x))
(cos.f64 (fabs.f64 (acos.f64 x)))
(cos.f64 (neg.f64 (acos.f64 x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) (.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) (.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 0 binary64)))
(fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (asin.f64 x))))
(neg.f64 (neg.f64 x))
(pow.f64 x #s(literal 1 binary64))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 x)))
#s(literal 2 binary64)
(*.f64 #s(literal -1 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x x))
(*.f64 x (/.f64 #s(literal 2 binary64) x))
(fabs.f64 #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) x)
(/.f64 (+.f64 #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 x x) x)
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 x x (.f64 x x)) (.f64 x x))
(/.f64 (fma.f64 (neg.f64 x) x (neg.f64 (.f64 x x))) (neg.f64 (.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x x) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
(.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal -1 binary64) 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 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(.f64 (.f64 x (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.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 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #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)))))
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(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x 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 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal 1 binary64)) (*.f64 (sinh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(hypot.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 x #s(literal 0 binary64))
(pow.f64 (*.f64 x x) #s(literal 0 binary64))
(sqrt.f64 #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.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 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) x) x)
(*.f64 x (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 (neg.f64 x) x)
(/.f64 x (neg.f64 x))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #s(literal 0 binary64))
(neg.f64 #s(literal 1 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))

eval91.0ms (3%)

Memory: -10.3MiB live, 126.7MiB allocated; 18ms collecting garbage
Compiler: Compiled 13 212 to 3 558 computations (73.1% saved)

prune18.0ms (0.6%)

Memory

-29.3MiB live, 21.9MiB allocated; 10ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	692	1	693
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	693	3	696

Accuracy

100.0%

Counts

696 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
✓	98.6%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	99.0%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))

Status

Accuracy

Program

✓

99.6%

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

✓

98.6%

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

▶

99.0%

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

Compiler

Compiled 47 to 35 computations (25.5% saved)

series133.0ms (4.4%)

Memory

33.3MiB live, 79.0MiB allocated; 22ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

Calls

3 calls:

Time	Variable	Point
7.0ms	x	0
7.0ms	x	-inf
7.0ms	x	inf

rewrite177.0ms (5.9%)

Memory

-16.8MiB live, 73.9MiB allocated; 41ms collecting garbage

Counts

6 → 8

Calls

Call 1

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

Outputs
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)

eval2.0ms (0.1%)

Memory: 2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 588 to 141 computations (76% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	21	3	24

Accuracy

100.0%

Counts

24 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
✓	98.6%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
✓	99.0%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))

Status

Accuracy

Program

✓

99.6%

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

✓

98.6%

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

✓

99.0%

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

Compiler

Compiled 47 to 35 computations (25.5% saved)

regimes19.0ms (0.7%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

4 → 1

7 → 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)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
#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))))

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

Call 3

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

9 calls:

3.0ms	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0ms	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
2.0ms	x
2.0ms	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
2.0ms	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

Results

Accuracy	Segments	Branch
98.6%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
98.6%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
98.6%	1	`x`
99.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
99.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.0%	1	`x`
99.6%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
99.6%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.6%	1	`x`

Compiler

Compiled 189 to 96 computations (49.2% saved)

derivations1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 47 to 26 computations (44.7% saved)

preprocess26.0ms (0.9%)

Memory: -25.1MiB live, 26.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 60 to 35 computations (41.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample779.0ms (26%)

preprocess59.0ms (2%)

series147.0ms (4.9%)

rewrite159.0ms (5.3%)

eval8.0ms (0.3%)

prune2.0ms (0.1%)

series279.0ms (9.3%)

rewrite375.0ms (12.5%)

eval111.0ms (3.7%)

prune15.0ms (0.5%)

series159.0ms (5.3%)

rewrite429.0ms (14.3%)

eval91.0ms (3%)

prune18.0ms (0.6%)

series133.0ms (4.4%)

rewrite177.0ms (5.9%)

eval2.0ms (0.1%)

prune1.0ms (0%)

regimes19.0ms (0.7%)

derivations1.0ms (0%)

preprocess26.0ms (0.9%)

end0.0ms (0%)

Profiling