Metrics for Hyperbolic arcsine

start0.0ms (0.0%)

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

analyze89.0ms (3.3%)

Memory

-26.6MiB live, 86.8MiB allocated; 40ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	2
25.0%	25.0%	75.0%	0.0%	0.0%	0.0%	0.0%	3
50.0%	50.0%	50.0%	0.0%	0.0%	0.0%	0.0%	4
62.5%	62.5%	37.5%	0.0%	0.0%	0.0%	0.0%	5
68.8%	68.7%	31.2%	0.0%	0.0%	0.0%	0.0%	6
71.9%	71.8%	28.1%	0.0%	0.0%	0.0%	0.0%	7
73.4%	73.4%	26.5%	0.0%	0.0%	0.0%	0.0%	8
74.2%	74.2%	25.8%	0.0%	0.0%	0.0%	0.0%	9
74.6%	74.6%	25.4%	0.0%	0.0%	0.0%	0.0%	10
74.8%	74.8%	25.2%	0.0%	0.0%	0.0%	0.0%	11
74.9%	74.9%	25.1%	0.0%	0.0%	0.0%	0.0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.8s (67.3%)

Memory

19.4MiB live, 2 059.2MiB allocated; 234ms collecting garbage

Samples

810.0ms	1 756×	2	valid
638.0ms	4 349×	1	valid
113.0ms	2 151×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-log: 797.0ms (58.8% of total)

ival-hypot: 374.0ms (27.6% of total)

adjust: 128.0ms (9.4% of total)

ival-add!: 57.0ms (4.2% of total)

Bogosity

preprocess43.0ms (1.6%)

Memory

-10.0MiB live, 36.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	55	7
2	127	7
3	336	7
4	2103	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.8%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Symmetry

(negabs x)

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series15.0ms (0.5%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	776

Stop Event

1×	iter-limit

Counts

7 → 37

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.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(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))

Calls

3 calls:

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

rewrite132.0ms (4.9%)

Memory

19.5MiB live, 163.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	20
1	64	20
2	174	18
3	575	18
4	2196	18
0	4077	17

Stop Event

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

Counts

7 → 446

Calls

Call 1

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

Outputs
x
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)) (.f64 x x))
(.f64 (pow.f64 (fabs.f64 x) #s(literal 0 binary64)) (.f64 x x))
(.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (.f64 x x))
(.f64 (pow.f64 x #s(literal 0 binary64)) (.f64 x x))
(.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/2 binary64)))
(*.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 (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 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) 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 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(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 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
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(+.f64 (+.f64 x (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64) x))
(+.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64)) (-.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64)) (neg.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(asinh.f64 x)
(neg.f64 (asinh.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (-.f64 (.f64 x #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 1 binary64)) (asinh.f64 (neg.f64 x)))
(-.f64 (asinh.f64 x) (log.f64 #s(literal 1 binary64)))
(+.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 8 binary64))) (log.f64 #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))) (log.f64 #s(literal 1/2 binary64)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))

eval68.0ms (2.5%)

Memory: -31.7MiB live, 106.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 8 186 to 2 248 computations (72.5% saved)

prune9.0ms (0.4%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	472	5	477
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	473	5	478

Accuracy

100.0%

Counts

478 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
▶	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	18.8%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
▶	47.7%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	99.9%	(asinh.f64 x)

Compiler

Compiled 102 to 78 computations (23.5% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
2
-1/2

Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series18.0ms (0.7%)

Memory

-31.9MiB live, 23.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	942

Stop Event

1×	iter-limit

Counts

19 → 49

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (asinh x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (asinh x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (asinh x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.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(approx (- (sqrt (+ (* x x) 1)) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (sqrt (+ (* x x) 1)) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ (* x x) 1)) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (asinh x) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (asinh x) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* x x) 1) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (sqrt (+ (* x x) 1)) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (sqrt (+ (* x x) 1)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (- (sqrt (+ (* x x) 1)) x) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (- (sqrt (+ (* x x) 1)) x) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
#s(approx (asinh x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (asinh x) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (sqrt (+ (* x x) 1)) x) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (sqrt (+ (* x x) 1)) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ (* x x) 1)) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (sqrt (+ (* x x) 1)) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))

Calls

3 calls:

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

rewrite138.0ms (5.1%)

Memory

20.6MiB live, 210.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	119
0	35	93
1	133	93
2	365	81
3	1083	76
0	4130	76

Stop Event

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

Counts

19 → 721

Calls

Call 1

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

Outputs
x
(asinh.f64 x)
(*.f64 #s(literal -1 binary64) (asinh.f64 (neg.f64 x)))
(neg.f64 (asinh.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 #s(literal 1 binary64)) (asinh.f64 (neg.f64 x)))
(+.f64 (log.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(+.f64 (log.f64 #s(literal 1 binary64)) (asinh.f64 x))
(+.f64 (asinh.f64 x) (log.f64 #s(literal 1 binary64)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
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(fma.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2 binary64) (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64)) (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64)) (.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 0 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) x))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal 0 binary64)))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 0 binary64))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(fabs.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(fabs.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(exp.f64 (*.f64 (asinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(exp.f64 (asinh.f64 x))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 0 binary64)))
(+.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(asinh.f64 x)
(*.f64 #s(literal -1 binary64) (asinh.f64 (neg.f64 x)))
(neg.f64 (asinh.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 #s(literal 1 binary64)) (asinh.f64 (neg.f64 x)))
(+.f64 (log.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)))
(+.f64 (log.f64 #s(literal 1 binary64)) (asinh.f64 x))
(+.f64 (asinh.f64 x) (log.f64 #s(literal 1 binary64)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))

eval86.0ms (3.2%)

Memory: 0.5MiB live, 137.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 13 492 to 3 066 computations (77.3% saved)

prune15.0ms (0.6%)

Memory

-19.8MiB live, 33.2MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	741	2	743
Fresh	0	0	0
Picked	5	0	5
Done	-4	4	0
Total	742	6	748

Accuracy

100.0%

Counts

748 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.0%	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	47.7%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	18.8%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
▶	4.3%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (+ 1 x) #s(literal 1 binary64))))
✓	99.9%	(asinh.f64 x)

Compiler

Compiled 66 to 49 computations (25.8% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series7.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	533

Stop Event

1×	iter-limit

Counts

8 → 25

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))

Calls

3 calls:

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

rewrite127.0ms (4.7%)

Memory

19.7MiB live, 160.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	64
0	16	52
1	92	52
2	246	44
3	733	44
4	2718	44
0	4136	44

Stop Event

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

Counts

8 → 43

Calls

Call 1

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

Outputs
x
#s(literal 1 binary64)
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (+ 1 x) #s(literal 1 binary64)))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (+ 1 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (+.f64 (asinh.f64 x) (asinh.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (asinh.f64 x) (asinh.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (asinh.f64 x) (asinh.f64 (neg.f64 x))) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (asinh.f64 x) (asinh.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) x) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (+.f64 (asinh.f64 x) (asinh.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (asinh.f64 x) (asinh.f64 x)) #s(literal 2 binary64)))) (.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (+.f64 (asinh.f64 x) (asinh.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (asinh.f64 x) (asinh.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (asinh.f64 x) (asinh.f64 (neg.f64 x))) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (asinh.f64 x) (asinh.f64 (neg.f64 x))) #s(literal 2 binary64)))) (.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (asinh.f64 x) (asinh.f64 (neg.f64 x))) #s(literal 2 binary64))) (sinh.f64 (/.f64 (-.f64 (asinh.f64 x) (asinh.f64 (neg.f64 x))) #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) x))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (neg.f64 x))
(+.f64 (+.f64 x x) (*.f64 x #s(literal 0 binary64)))
(+.f64 (+.f64 x x) (*.f64 #s(literal 0 binary64) x))
(+.f64 x x)
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))

eval5.0ms (0.2%)

Memory: 8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 326 to 313 computations (76.4% saved)

prune3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	2	0	2
Done	-2	6	4
Total	61	6	67

Accuracy

100.0%

Counts

67 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.0%	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
✓	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	47.7%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	18.8%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
✓	4.3%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (+ 1 x) #s(literal 1 binary64))))
✓	99.9%	(asinh.f64 x)

Compiler

Compiled 66 to 49 computations (25.8% saved)

regimes50.0ms (1.9%)

Memory

-44.8MiB live, 52.0MiB allocated; 5ms collecting garbage

Counts

1 → 1

2 → 1

3 → 2

8 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs

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

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

(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))

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

Call 4

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

Outputs
(asinh.f64 x)

Calls

12 calls:

11.0ms	x
3.0ms	x
2.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
2.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
4.3%	1	`x`
4.3%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
4.3%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
18.8%	1	`x`
18.8%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
18.8%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
50.5%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
50.5%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
50.5%	2	`x`
99.9%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
99.9%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.9%	1	`x`

Compiler

Compiled 160 to 92 computations (42.5% saved)

bsearch0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.20859787198571955	2.0233867707971847

Compiler

Compiled 20 to 15 computations (25.0% saved)

derivations28.0ms (1.0%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 68 to 26 computations (61.8% saved)

preprocess43.0ms (1.6%)

Memory: -19.7MiB live, 73.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 261 to 143 computations (45.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze89.0ms (3.3%)

sample1.8s (67.3%)

preprocess43.0ms (1.6%)

sample0.0ms (0.0%)

series15.0ms (0.5%)

rewrite132.0ms (4.9%)

eval68.0ms (2.5%)

prune9.0ms (0.4%)

sample0.0ms (0.0%)

series18.0ms (0.7%)

rewrite138.0ms (5.1%)

eval86.0ms (3.2%)

prune15.0ms (0.6%)

sample0.0ms (0.0%)

series7.0ms (0.3%)

rewrite127.0ms (4.7%)

eval5.0ms (0.2%)

prune3.0ms (0.1%)

regimes50.0ms (1.9%)

bsearch0.0ms (0.0%)

derivations28.0ms (1.0%)

preprocess43.0ms (1.6%)

end0.0ms (0.0%)

Profiling