x / (x^2 + 1)

Time bar (total: 2.0s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample897.0ms (45.3%)

Results
841.0ms8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 259.0ms
Operation ival-mult, time spent: 106.0ms, 41.0% of total-time
Operation ival-div, time spent: 74.0ms, 29.0% of total-time
Operation ival-add, time spent: 66.0ms, 25.0% of total-time
Operation const, time spent: 14.0ms, 5.0% of total-time
Bogosity

preprocess354.0ms (17.9%)

Algorithm
1×egg-herbie
Rules
246×fma-define
58×fma-neg
46×associate-*l*
42×times-frac
30×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
560-0-(/.f64 x (+.f64 (*.f64 x x) 1))
00-0-x
00-0-(+.f64 (*.f64 x x) 1)
00-0-(*.f64 x x)
00-0-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015100
139100
275100
3149100
4271100
5410100
6501100
7503100
8515100
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))
(/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))
(neg.f64 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (-.f64 -1 (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))
(/.f64 x (fma.f64 x x 1))
Symmetry

(negabs x)

Compiler

Compiled 46 to 23 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-div, time spent: 20.0ms, 62.0% of total-time
Operation ival-add, time spent: 6.0ms, 19.0% of total-time
Operation ival-mult, time spent: 5.0ms, 16.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.6%
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize46.0ms (2.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓79.6%
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-mult, time spent: 17.0ms, 76.0% of total-time
Operation ival-add, time spent: 3.0ms, 13.0% of total-time
Operation ival-div, time spent: 2.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series2.0ms (0.1%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (/.f64 x (+.f64 (*.f64 x x) 1))>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 1 (*.f64 -1 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 x 2) 1))))>
#<alt (*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) 1))))>
#<alt (/.f64 1 x)>
#<alt (/.f64 (-.f64 1 (/.f64 1 (pow.f64 x 2))) x)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) x)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) x)>
#<alt (/.f64 1 x)>
#<alt (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) 1) x))>
#<alt (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 (pow.f64 x 4)))) x))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 1 (/.f64 1 (pow.f64 x 4)))) x))>
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ x (+ (* x x) 1))
0.0ms
x
@-inf
(/ x (+ (* x x) 1))
0.0ms
x
@0
(/ x (+ (* x x) 1))

rewrite312.0ms (15.7%)

Algorithm
1×batch-egg-rewrite
Rules
918×unpow-prod-down
500×log1p-expm1-u
500×expm1-log1p-u
494×log-prod
435×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
111024
2143224
Stop Event
1×node limit
Counts
1 → 69
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (/.f64 x (fma.f64 x x 1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (hypot.f64 1 x) -2) x)
(*.f64 (pow.f64 (hypot.f64 1 x) -2) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) x) -1))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (pow.f64 (/.f64 (hypot.f64 1 x) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (/.f64 x (fma.f64 x x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 3) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) x) 1/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x x 1)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) x) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 x) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x x 1) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x 1)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 x)) -1))

simplify136.0ms (6.9%)

Algorithm
1×egg-herbie
Rules
1386×fma-neg
834×div-sub
808×associate-*r*
786×associate-*l*
504×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02503142
15373036
211962974
348102974
Stop Event
1×node limit
Counts
81 → 129
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 x 2) 1))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) 1))))
(/.f64 1 x)
(/.f64 (-.f64 1 (/.f64 1 (pow.f64 x 2))) x)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) x)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) x)
(/.f64 1 x)
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) 1) x))
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 (pow.f64 x 4)))) x))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 1 (/.f64 1 (pow.f64 x 4)))) x))
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (/.f64 x (fma.f64 x x 1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (hypot.f64 1 x) -2) x)
(*.f64 (pow.f64 (hypot.f64 1 x) -2) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) x) -1))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (pow.f64 (/.f64 (hypot.f64 1 x) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (/.f64 x (fma.f64 x x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 3) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) x) 1/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x x 1)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) x) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 x) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x x 1) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x 1)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 x)) -1))
Outputs
x
(*.f64 x (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(*.f64 x (-.f64 1 (pow.f64 x 2)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 x 2) 1))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(+.f64 x (*.f64 (fma.f64 x x -1) (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1 (pow.f64 x 2)))) 1))))
(*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 x 2)) -1))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 x 2)) -1) (pow.f64 x 3)))
(fma.f64 (fma.f64 x (-.f64 x (pow.f64 x 3)) -1) (pow.f64 x 3) x)
(fma.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 4)) (pow.f64 x 3) x)
(/.f64 1 x)
(/.f64 (-.f64 1 (/.f64 1 (pow.f64 x 2))) x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) x)
(/.f64 (+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 1 (/.f64 1 (pow.f64 x 2)))) x)
(-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 x 4))) x))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) x)
(/.f64 (+.f64 (+.f64 1 (/.f64 1 (pow.f64 x 4))) (-.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) x)
(-.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 1 (/.f64 1 (pow.f64 x 6)))) x) (/.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 (-.f64 (/.f64 -1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2))) (+.f64 -1 (/.f64 -1 (pow.f64 x 4)))) x)
(/.f64 1 x)
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) 1) x))
(/.f64 (-.f64 1 (/.f64 1 (pow.f64 x 2))) x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 (pow.f64 x 4)))) x))
(/.f64 (+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 1 (/.f64 1 (pow.f64 x 2)))) x)
(-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 (+.f64 -1 (/.f64 -1 (pow.f64 x 4))) x))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 1 (/.f64 1 (pow.f64 x 4)))) x))
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) x)
(/.f64 (+.f64 (+.f64 1 (/.f64 1 (pow.f64 x 4))) (-.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) x)
(-.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 1 (/.f64 1 (pow.f64 x 6)))) x) (/.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 (-.f64 (/.f64 -1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 2))) (+.f64 -1 (/.f64 -1 (pow.f64 x 4)))) x)
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) (log.f64 (E.f64)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (hypot.f64 1 x) -2) x)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(*.f64 (pow.f64 (hypot.f64 1 x) -2) (pow.f64 (/.f64 1 x) -1))
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) x) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (pow.f64 (/.f64 (hypot.f64 1 x) x) -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (pow.f64 x 2))))
(/.f64 (*.f64 x (+.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x 4))) (+.f64 1 (pow.f64 x 6)))
(*.f64 x (/.f64 (+.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x 4)) (+.f64 1 (pow.f64 x 6))))
(/.f64 (+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5)) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))
(/.f64 (+.f64 (pow.f64 x 3) (neg.f64 x)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (pow.f64 1 1/3) (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 3) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) x) 1/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x x 1)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x x 1)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 5/2)) (cbrt.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2))
(/.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) -2)) (/.f64 1 (/.f64 (fma.f64 x x 1) (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) -2)) (*.f64 (/.f64 1 (fma.f64 x x 1)) (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 x) (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) -2))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 1 (/.f64 (fma.f64 x x 1) (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (*.f64 (/.f64 1 (fma.f64 x x 1)) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (fma.f64 x x 1)) (pow.f64 x -1/2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) x) -1))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 x)) -1))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)) -1))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 x) x) -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (cbrt.f64 x)) -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1))
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x 1) x) 1) -1)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 1/3))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))) 2))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 x)) -1))
(/.f64 x (fma.f64 x x 1))

eval42.0ms (2.1%)

Compiler

Compiled 1781 to 1242 computations (30.3% saved)

prune16.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1263129
Fresh000
Picked011
Done000
Total1264130
Accuracy
100.0%
Counts
130 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓79.6%
(/.f64 x (+.f64 (*.f64 x x) 1))
▶49.1%
(/.f64 1 x)
▶53.0%
(-.f64 x (pow.f64 x 3))
▶54.0%
x
Compiler

Compiled 20 to 13 computations (35% saved)

localize72.0ms (3.7%)

Compiler

Compiled 18 to 11 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-pow, time spent: 8.0ms, 61.0% of total-time
Operation ival-div, time spent: 2.0ms, 15.0% of total-time
Operation ival-sub, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done011
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓79.6%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓49.1%
(/.f64 1 x)
✓53.0%
(-.f64 x (pow.f64 x 3))
✓54.0%
x
Compiler

Compiled 37 to 23 computations (37.8% saved)

regimes14.0ms (0.7%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(/.f64 1 x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 1 x)
Calls

2 calls:

7.0ms
x
6.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
Results
AccuracySegmentsBranch
100.0%2x
99.9%2(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes6.0ms (0.3%)

Counts
2 → 2
Calls
Call 1
Inputs
x
(/.f64 1 x)
Outputs
x
(/.f64 1 x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
54.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch6.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
6.0ms
1.727911118875145
1190108324.5665045
Results
5.0ms47×256valid
0.0ms1×256valid
Compiler

Compiled 54 to 38 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch10.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.645392904004613
1.727911118875145
Results
8.0ms79×256valid
0.0ms1×256valid
Compiler

Compiled 52 to 38 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
Operation ival-div, time spent: 1.0ms, 51.0% of total-time
Operation ival-mult, time spent: 1.0ms, 51.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×1-exp
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01880
12580
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x 10000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x))
(if (<=.f64 x 1) x (/.f64 1 x))
x
Outputs
(if (<=.f64 x 10000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x))
(if (<=.f64 x 1) x (/.f64 1 x))
x
Compiler

Compiled 26 to 17 computations (34.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess58.0ms (2.9%)

Compiler

Compiled 140 to 92 computations (34.3% saved)

Profiling

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