Hyperbolic arcsine

Time bar (total: 3.0s)

start0.0ms (0.0%)

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

analyze83.0ms (2.8%)

Memory
14.3MiB live, 169.1MiB allocated; 30ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample2.0s (66.9%)

Memory
42.0MiB live, 2 240.4MiB allocated; 561ms collecting garbage
Samples
805.0ms1 685×2valid
711.0ms4 404×1valid
125.0ms2 167×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-log: 710.0ms (50.1% of total)
ival-hypot: 425.0ms (30.0% of total)
adjust: 156.0ms (11.0% of total)
ival-add!: 125.0ms (8.8% of total)
Bogosity

preprocess44.0ms (1.5%)

Memory
-7.7MiB live, 38.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1557
21277
33367
421037
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(log.64 (+.f64 x (sqrt.64 (+.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
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
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)

series14.0ms (0.5%)

Memory
35.7MiB live, 35.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167786
Stop Event
iter-limit
Counts
7 → 37
Calls
Call 1
Inputs
(log.64 (+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.64 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.64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 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.64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.64 x #s(literal 2 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.64 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.64 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.64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.64 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.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.64 x #s(literal 4 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.64 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.64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.64 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.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.64 x #s(literal 4 binary64))))))
#s(approx (+ (* x x) 1) (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.64 #s(literal 1/2 binary64)) (log.64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 1/2 binary64)) (log.64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 1/2 binary64)) (+.f64 (log.64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 1/2 binary64)) (+.f64 (log.64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 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.64 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.64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 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.64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.64 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.64 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.64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.64 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.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.64 x #s(literal 4 binary64)))))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
inf
1.0ms
x
-inf
1.0ms
x
0

rewrite141.0ms (4.8%)

Memory
-27.4MiB live, 261.5MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01220
16420
217418
357518
4219618
0407717
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 446
Calls
Call 1
Inputs
(log.64 (+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(neg.f64 (neg.f64 (asinh.64 x)))
(-.f64 (log.64 (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (log.64 #s(literal 2 binary64)))
(-.f64 (log.64 (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))))) (log.64 #s(literal -2 binary64)))
(-.f64 (log.64 (-.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))))) (log.64 #s(literal -2 binary64)))
(-.f64 (log.64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)))) (log.64 #s(literal -2 binary64)))
(-.f64 (log.64 (fabs.64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)))) (log.64 #s(literal 2 binary64)))
(-.f64 (log.64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))) (log.64 #s(literal 2 binary64)))
(-.f64 (log.64 #s(literal 1 binary64)) (neg.f64 (asinh.64 x)))
(-.f64 (asinh.64 x) (log.64 #s(literal 1 binary64)))
(asinh.64 x)
(+.f64 (log.64 (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 8 binary64))) (log.64 #s(literal 4 binary64)))
(+.f64 (log.64 (*.f64 (+.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) (log.64 #s(literal 2 binary64)))
(+.f64 (log.64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))) (log.64 #s(literal 1/2 binary64)))
(log.64 (+.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (+.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x)) x)
(fabs.64 (-.f64 (neg.f64 x) (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.64 (+.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (neg.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))) #s(literal -2 binary64))
(/.f64 (fabs.64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (-.f64 (pow.64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x)))))
(/.f64 (+.f64 (pow.64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x))))
(/.f64 (-.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 (neg.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (neg.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (pow.64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/4 binary64)) (pow.64 (neg.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64)) x)
(fma.f64 (pow.64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x)
(fma.f64 (pow.64 (neg.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.64 (*.f64 (neg.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) x)
(fma.f64 (pow.64 (*.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) x)
(fma.f64 (pow.64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.64 (*.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) x)
(fma.f64 (pow.64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (pow.64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 8 binary64)) #s(literal 1/2 binary64)) (pow.64 #s(literal 4 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.64 #s(literal 2 binary64) #s(literal 1/2 binary64)) x)
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#s(literal 1 binary64)

eval168.0ms (5.6%)

Memory
26.9MiB live, 307.0MiB allocated; 20ms collecting garbage
Compiler

Compiled 8 197 to 2 237 computations (72.7% saved)

prune11.0ms (0.4%)

Memory
-24.1MiB live, 22.7MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4745479
Fresh000
Picked101
Done000
Total4755480
Accuracy
100.0%
Counts
480 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
20.7%
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
56.0%
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
99.8%
(asinh.64 x)
47.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 104 to 80 computations (23.1% 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
0.0ms0valid
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)

series10.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133472
Stop Event
iter-limit
Counts
15 → 25
Calls
Call 1
Inputs
(asinh.64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.64 #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) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
Outputs
#s(approx (asinh x) x)
#s(approx (asinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (asinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (asinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 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.64 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 (asinh x) (+.f64 (log.64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (asinh x) (+.f64 (log.64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (asinh x) (-.f64 (+.f64 (log.64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64)))))
#s(approx (asinh x) (-.f64 (+.f64 (log.64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64)))))
#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.64 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.64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.64 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.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.64 x #s(literal 4 binary64))))))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (asinh x) (+.f64 (log.64 #s(literal 1/2 binary64)) (log.64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (asinh x) (-.f64 (+.f64 (log.64 #s(literal 1/2 binary64)) (log.64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (asinh x) (-.f64 (+.f64 (log.64 #s(literal 1/2 binary64)) (+.f64 (log.64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (asinh x) (-.f64 (+.f64 (log.64 #s(literal 1/2 binary64)) (+.f64 (log.64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.64 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.64 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.64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 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.64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64)))))) x)))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite92.0ms (3.1%)

Memory
-16.9MiB live, 125.3MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020101
02776
110076
228764
390864
0406964
Stop Event
iter-limit
node-limit
iter-limit
Counts
15 → 183
Calls
Call 1
Inputs
(asinh.64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.64 #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) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
Outputs
(neg.f64 (neg.f64 (asinh.64 x)))
(-.f64 (log.64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.64 #s(literal 2 binary64)))
(asinh.64 x)
(log.64 (+.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x))
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 x x))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (+.f64 x x))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal -2 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(*.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 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 -1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 x x)))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.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 #s(literal 8 binary64) x) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (+.f64 x x)) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 (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.64 x #s(literal 3 binary64)) (pow.64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (+.f64 x x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 x x)))
(neg.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(neg.f64 (-.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 x x)) #s(literal 0 binary64))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 x (neg.f64 x))
(+.f64 #s(literal 0 binary64) (+.f64 x x))
(+.f64 (+.f64 x x) #s(literal 0 binary64))
(+.f64 x x)
#s(literal 2 binary64)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (+.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
#s(literal -1/2 binary64)

eval35.0ms (1.2%)

Memory
32.8MiB live, 79.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 429 to 794 computations (76.8% saved)

prune5.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1942196
Fresh000
Picked235
Done000
Total1965201
Accuracy
100.0%
Counts
201 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
20.7%
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
56.0%
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
99.8%
(asinh.64 x)
47.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 52 to 39 computations (25.0% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
Outputs
#s(literal -1 binary64)
Samples
0.0ms0valid
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)

series12.0ms (0.4%)

Memory
-36.8MiB live, 13.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135548
Stop Event
iter-limit
Counts
8 → 25
Calls
Call 1
Inputs
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
x
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.64 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.64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 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.64 x #s(literal 2 binary64)))))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64)))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64)))))
#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.64 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.64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.64 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.64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.64 x #s(literal 4 binary64))))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.64 #s(literal 1/2 binary64)) (log.64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 1/2 binary64)) (log.64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 1/2 binary64)) (+.f64 (log.64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.64 #s(literal 1/2 binary64)) (+.f64 (log.64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 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.64 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.64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 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.64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.64 x #s(literal 6 binary64)))))) x)))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite148.0ms (5.0%)

Memory
5.8MiB live, 197.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01358
01746
19646
224638
371038
4257538
0407438
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 86
Calls
Call 1
Inputs
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
x
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(*.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.64 (/.f64 (+.f64 (asinh.64 x) (asinh.64 x)) #s(literal 2 binary64))) (cosh.64 (/.f64 (-.f64 (asinh.64 x) (asinh.64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.64 (/.f64 (+.f64 (asinh.64 x) (neg.f64 (asinh.64 x))) #s(literal 2 binary64))) (sinh.64 (/.f64 (-.f64 (asinh.64 x) (neg.f64 (asinh.64 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 (*.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.64 x #s(literal 3 binary64)) (pow.64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))
(/.f64 (+.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 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.64 (/.f64 (+.f64 (asinh.64 x) (asinh.64 x)) #s(literal 2 binary64))) (cosh.64 (/.f64 (-.f64 (asinh.64 x) (asinh.64 x)) #s(literal 2 binary64)))) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.64 (/.f64 (+.f64 (asinh.64 x) (asinh.64 x)) #s(literal 2 binary64))) (cosh.64 (/.f64 (-.f64 (asinh.64 x) (asinh.64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.64 (/.f64 (+.f64 (asinh.64 x) (neg.f64 (asinh.64 x))) #s(literal 2 binary64))) (sinh.64 (/.f64 (-.f64 (asinh.64 x) (neg.f64 (asinh.64 x))) #s(literal 2 binary64)))) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.64 (/.f64 (+.f64 (asinh.64 x) (neg.f64 (asinh.64 x))) #s(literal 2 binary64))) (sinh.64 (/.f64 (-.f64 (asinh.64 x) (neg.f64 (asinh.64 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.64 (fma.f64 x x #s(literal 1 binary64))) x) (-.f64 (sqrt.64 (fma.f64 x x #s(literal 1 binary64))) x))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.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)
x
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.64 x #s(literal 3 binary64)) (pow.64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)

eval36.0ms (1.2%)

Memory
-10.1MiB live, 36.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 076 to 489 computations (76.4% saved)

prune3.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1010101
Fresh000
Picked022
Done033
Total1015106
Accuracy
100.0%
Counts
106 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
20.7%
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
56.0%
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
99.8%
(asinh.64 x)
47.3%
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Compiler

Compiled 52 to 39 computations (25.0% saved)

regimes27.0ms (0.9%)

Memory
38.5MiB live, 38.5MiB allocated; 0ms collecting garbage
Counts
1 → 1
3 → 2
5 → 2
8 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
Call 2
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
Call 3
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
Call 4
Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)))
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(asinh.64 x)
(log.64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.64 (+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(asinh.64 x)
Calls

12 calls:

3.0ms
x
3.0ms
(+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms
(log.64 (+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms
x
2.0ms
(log.64 (+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
47.3%1x
47.3%1(+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
47.3%1(log.64 (+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
62.0%2(+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
62.0%2(log.64 (+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
62.0%2x
99.5%2(+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
99.5%2(log.64 (+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.5%2x
99.8%1(+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
99.8%1(log.64 (+.f64 x (sqrt.64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.8%1x
Compiler

Compiled 159 to 89 computations (44.0% saved)

bsearch29.0ms (1.0%)

Memory
-22.1MiB live, 24.6MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
0.000829186732953698
21368.16039219196
Samples
11.0ms27×2valid
7.0ms41×1valid
4.0ms76×0valid
Compiler

Compiled 228 to 180 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 10.0ms (54.9% of total)
ival-hypot: 6.0ms (32.9% of total)
ival-add!: 1.0ms (5.5% of total)
adjust: 1.0ms (5.5% of total)

bsearch0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0008291866379358605
10.662804442055544
Compiler

Compiled 20 to 15 computations (25.0% saved)

derivations50.0ms (1.7%)

Memory
-16.9MiB live, 75.7MiB allocated; 13ms collecting garbage
Stop Event
done
Compiler

Compiled 77 to 28 computations (63.6% saved)

preprocess78.0ms (2.6%)

Memory
21.1MiB live, 206.1MiB allocated; 48ms collecting garbage
Compiler

Compiled 293 to 149 computations (49.1% saved)

end0.0ms (0.0%)

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

Profiling

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