Rust f32::acosh

Time bar (total: 1.3s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%25.0%75.0%0.0%0.0%0.0%0
100.0%25.0%0.0%75.0%0.0%0.0%0.0%1
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample480.0ms (37.4%)

Memory
-16.9MiB live, 979.3MiB allocated; 237ms collecting garbage
Samples
317.0ms8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-acosh: 107.0ms (98.2% of total)
adjust: 2.0ms (1.8% of total)
Bogosity

preprocess56.0ms (4.3%)

Memory
2.1MiB live, 45.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1169
2599
31389
43709
523169
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary32)
Samples
0.0ms1×0valid
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)

series24.0ms (1.9%)

Memory
13.7MiB live, 57.0MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0193924
Stop Event
1×iter-limit
Counts
7 → 39
Calls
Call 1
Inputs
x
(*.f32 x x)
#s(literal 1 binary32)
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f32 x #s(literal 2 binary32)))
#s(approx (- (* x x) 1) #s(literal -1 binary32))
#s(approx (- (* x x) 1) (-.f32 (pow.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- (* x x) 1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (sqrt (- (* x x) 1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (sqrt (- (* x x) 1)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (- (* x x) 1) (*.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 #s(literal -1 binary32) x))
#s(approx (sqrt (- (* x x) 1)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 #s(literal -1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 #s(literal -1 binary32) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 5/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 5/32 binary32) (*.f32 #s(literal 11/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
Calls

3 calls:

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

rewrite176.0ms (13.7%)

Memory
26.2MiB live, 263.3MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01226
16726
220526
370826
4310626
0424123
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
7 → 637
Calls
Call 1
Inputs
x
(*.f32 x x)
#s(literal 1 binary32)
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Outputs
x
(*.f32 (pow.f32 (*.f32 (*.f32 x x) (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 x x) (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (fabs.f32 x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 x x) (neg.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 x) (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 x) (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)) (pow.f32 (*.f32 x (neg.f32 (fabs.f32 x))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 x) (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 x) (fabs.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 x (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 x (fabs.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (fabs.f32 x) (neg.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (fabs.f32 x) (neg.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 (fabs.f32 x)) x) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 (fabs.f32 x)) x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (fabs.f32 x) x) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (fabs.f32 x) x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32))) (pow.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 x x))
(*.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 (fabs.f32 x)) (*.f32 x x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fabs.f32 x) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 x) (*.f32 x x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 (*.f32 x (*.f32 x x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) (neg.f32 (fabs.f32 x)))
(*.f32 (pow.f32 (fabs.f32 x) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 (fabs.f32 x) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (pow.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (pow.f32 (fabs.f32 x) #s(literal 1 binary32)) (pow.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 1 binary32)) (pow.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 1 binary32)) (neg.f32 x))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) x)
(*.f32 (pow.f32 x (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 x (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (*.f32 x x) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 0 binary32)))
(*.f32 (*.f32 x x) (pow.f32 (fabs.f32 x) #s(literal 0 binary32)))
(*.f32 (*.f32 x x) (pow.f32 (neg.f32 x) #s(literal 0 binary32)))
(*.f32 (*.f32 x x) (pow.f32 x #s(literal 0 binary32)))
(*.f32 (*.f32 x x) (pow.f32 (*.f32 x x) #s(literal 0 binary32)))
(*.f32 x x)
(/.f32 (pow.f32 (*.f32 x x) (*.f32 (cosh.f32 #s(literal -1 binary32)) (cosh.f32 #s(literal -1 binary32)))) (pow.f32 (*.f32 x x) (*.f32 (sinh.f32 #s(literal 1 binary32)) (sinh.f32 #s(literal 1 binary32)))))
(/.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)))
(/.f32 (pow.f32 (*.f32 x x) #s(literal 0 binary32)) (pow.f32 (*.f32 x x) #s(literal -1 binary32)))
(/.f32 (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal -1 binary32)))
(/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (*.f32 (*.f32 (*.f32 x x) x) x) (*.f32 x x))
(/.f32 (pow.f32 (fabs.f32 x) #s(literal 1 binary32)) (pow.f32 (fabs.f32 x) #s(literal -1 binary32)))
(/.f32 (pow.f32 (neg.f32 x) #s(literal 1 binary32)) (pow.f32 (neg.f32 x) #s(literal -1 binary32)))
(/.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal -1 binary32)))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 1 binary32)))
(/.f32 (pow.f32 (*.f32 x x) #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 x x) x) x))
(/.f32 (fabs.f32 x) (pow.f32 (*.f32 x x) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (fabs.f32 x)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (fabs.f32 x) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 x) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x x) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -2 binary32)))
(/.f32 (*.f32 x x) (pow.f32 (*.f32 (*.f32 (*.f32 x x) x) x) #s(literal 0 binary32)))
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(fma.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal 0 binary32))
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(fma.f32 #s(literal -1 binary32) (-.f32 x #s(literal -1 binary32)) (*.f32 (neg.f32 x) (-.f32 #s(literal -1 binary32) x)))
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(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) x) (*.f32 (neg.f32 x) (-.f32 #s(literal -1 binary32) x)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) x) (*.f32 (-.f32 x #s(literal -1 binary32)) x))
(fma.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)) (-.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 0 binary32)))
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(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 x))
(-.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(neg.f32 (-.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))

eval204.0ms (15.9%)

Memory
-17.3MiB live, 180.9MiB allocated; 203ms collecting garbage
Compiler

Compiled 11 908 to 3 231 computations (72.9% saved)

prune15.0ms (1.2%)

Memory
-18.9MiB live, 31.3MiB allocated; 9ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New6682670
Fresh000
Picked101
Done000
Total6692671
Accuracy
100.0%
Counts
671 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.2%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶99.3%
(acosh.f32 x)
Compiler

Compiled 15 to 12 computations (20.0% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 binary32)
Samples
0.0ms1×0valid
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 (1.2%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153532
Stop Event
1×iter-limit
Counts
6 → 25
Calls
Call 1
Inputs
x
(acosh.f32 x)
#s(literal 2 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
Outputs
#s(approx x x)
#s(approx (acosh x) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (acosh x) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (acosh x) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (acosh x) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (* 2 x) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 5/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (acosh x) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 5/32 binary32) (*.f32 #s(literal 11/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x)))
Calls

3 calls:

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

rewrite101.0ms (7.8%)

Memory
-11.7MiB live, 172.7MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01432
17132
223932
384532
0404430
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
6 → 52
Calls
Call 1
Inputs
x
(acosh.f32 x)
#s(literal 2 binary32)
(*.f32 #s(literal 2 binary32) x)
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
Outputs
x
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
#s(literal 2 binary32)
(*.f32 (*.f32 (+.f32 x x) #s(literal -1 binary32)) #s(literal -1 binary32))
(*.f32 (*.f32 (+.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) x)) x)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x x)) x)
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (+.f32 x x)))
(*.f32 (+.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 1 binary32) (+.f32 x x))
(*.f32 x #s(literal 2 binary32))
(/.f32 (*.f32 x #s(literal 8 binary32)) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 8 binary32) x) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 4 binary32) x) #s(literal 2 binary32))
(/.f32 (*.f32 x #s(literal 4 binary32)) #s(literal 2 binary32))
(/.f32 (fma.f32 (+.f32 x x) #s(literal 2 binary32) (*.f32 (+.f32 x x) #s(literal 2 binary32))) #s(literal 4 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) x (+.f32 x x)) #s(literal 2 binary32))
(/.f32 (fma.f32 (+.f32 x x) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (+.f32 x x))) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 8 binary32) (+.f32 x x)) #s(literal 8 binary32))
(/.f32 (*.f32 (+.f32 x x) #s(literal 8 binary32)) #s(literal 8 binary32))
(/.f32 (*.f32 #s(literal -2 binary32) (+.f32 x x)) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal 4 binary32) (+.f32 x x)) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (+.f32 x x)) #s(literal 2 binary32))
(/.f32 (*.f32 (+.f32 x x) #s(literal -2 binary32)) #s(literal -2 binary32))
(/.f32 (*.f32 (+.f32 x x) #s(literal 4 binary32)) #s(literal 4 binary32))
(/.f32 (*.f32 (+.f32 x x) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (fma.f32 x x (fma.f32 x x (*.f32 (neg.f32 x) x))))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (+.f32 x (neg.f32 x)))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 x x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 x x))))
(/.f32 (+.f32 x x) #s(literal 1 binary32))
(-.f32 x (neg.f32 x))
(fma.f32 (*.f32 (+.f32 x x) #s(literal -1 binary32)) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (*.f32 (+.f32 x x) #s(literal 2 binary32)) #s(literal 1/2 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (+.f32 x x)) #s(literal 0 binary32))
(fma.f32 (+.f32 x x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 2 binary32) x #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 x x) #s(literal 0 binary32))
(fma.f32 x #s(literal 2 binary32) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 x x))
(+.f32 (+.f32 x x) #s(literal 0 binary32))
(+.f32 x x)
(neg.f32 (*.f32 #s(literal -2 binary32) x))
(neg.f32 (*.f32 #s(literal -1 binary32) (+.f32 x x)))
(neg.f32 (*.f32 (+.f32 x x) #s(literal -1 binary32)))
(neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (neg.f32 x) x)))
(neg.f32 (*.f32 x #s(literal -2 binary32)))
(neg.f32 (-.f32 (neg.f32 x) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))

eval6.0ms (0.5%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 357 to 353 computations (74.0% saved)

prune2.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh000
Picked202
Done-110
Total74276
Accuracy
100.0%
Counts
76 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.2%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓99.3%
(acosh.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series9.0ms (0.7%)

Memory
-31.1MiB live, 15.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154616
Stop Event
1×iter-limit
Counts
4 → 25
Calls
Call 1
Inputs
x
(+.f32 x x)
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
Outputs
#s(approx x x)
#s(approx (+ x x) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 x (fma.f32 (pow.f32 x #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (/.f32 (pow.f32 x #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3/32 binary32) (*.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/128 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32)))))) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 5/32 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 2 binary32)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 5/32 binary32) (*.f32 #s(literal 11/96 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))) (pow.f32 x #s(literal 4 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
0.0ms
x
0

rewrite148.0ms (11.5%)

Memory
19.7MiB live, 292.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01129
17629
223129
376529
4325129
0414227
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
4 → 32
Calls
Call 1
Inputs
x
(+.f32 x x)
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
Outputs
x
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) x)) x)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 x x)) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 (+.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 x x))
(*.f32 x #s(literal 2 binary32))
(/.f32 (*.f32 x #s(literal 8 binary32)) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 8 binary32) x) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 4 binary32) x) #s(literal 2 binary32))
(/.f32 (*.f32 x #s(literal 4 binary32)) #s(literal 2 binary32))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (fma.f32 x x (fma.f32 x x (*.f32 (neg.f32 x) x))))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (+.f32 x (neg.f32 x)))
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 x x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 x x))))
(-.f32 x (*.f32 #s(literal -1 binary32) x))
(-.f32 x (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(-.f32 x (neg.f32 x))
(fma.f32 #s(literal 2 binary32) x (*.f32 x #s(literal 0 binary32)))
(fma.f32 #s(literal 2 binary32) x (*.f32 #s(literal 0 binary32) x))
(fma.f32 (+.f32 x x) #s(literal 1 binary32) (*.f32 x #s(literal 0 binary32)))
(fma.f32 (+.f32 x x) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) x))
(fma.f32 #s(literal 1 binary32) (+.f32 x x) (*.f32 x #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 x x) (*.f32 #s(literal 0 binary32) x))
(fma.f32 x #s(literal 2 binary32) (*.f32 x #s(literal 0 binary32)))
(fma.f32 x #s(literal 2 binary32) (*.f32 #s(literal 0 binary32) x))
(+.f32 (+.f32 x x) (*.f32 x #s(literal 0 binary32)))
(+.f32 (+.f32 x x) (*.f32 #s(literal 0 binary32) x))
(+.f32 x x)
(neg.f32 (*.f32 #s(literal -2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))

eval4.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 144 to 283 computations (75.3% saved)

prune2.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh000
Picked101
Done-121
Total54256
Accuracy
100.0%
Counts
56 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.2%
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓99.3%
(acosh.f32 x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes7.0ms (0.5%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(acosh.f32 x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Outputs
(acosh.f32 x)
Calls

3 calls:

2.0ms
x
2.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Results
AccuracySegmentsBranch
99.3%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
99.3%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
99.3%1x
Compiler

Compiled 55 to 34 computations (38.2% saved)

derivations24.0ms (1.9%)

Memory
-56.3MiB live, 2.5MiB allocated; 23ms collecting garbage
Stop Event
1×done
Compiler

Compiled 2 to 2 computations (0.0% saved)

preprocess9.0ms (0.7%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 23 to 18 computations (21.7% saved)

end0.0ms (0.0%)

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

Profiling

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