2isqrt (example 3.6)

Time bar (total: 15.3s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 19 to 15 computations (21.1% 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-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time
Operation ival->, time spent: 0.0ms, 0.0% of total-time
Operation ival-<, time spent: 0.0ms, 0.0% of total-time

sample3.1s (20.5%)

Results
1.9s4459×1024valid
602.0ms2005×512valid
267.0ms1791×256valid
0.0ms1024valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
Operation ival-sqrt, time spent: 647.0ms, 36.0% of total-time
Operation ival-div, time spent: 514.0ms, 28.0% of total-time
Operation ival-sub, time spent: 223.0ms, 12.0% of total-time
Operation ival-add, time spent: 128.0ms, 7.0% of total-time
Operation ival->, time spent: 126.0ms, 7.0% of total-time
Operation ival-<, time spent: 84.0ms, 5.0% of total-time
Operation const, time spent: 60.0ms, 3.0% of total-time
Operation ival-and, time spent: 27.0ms, 1.0% of total-time
Bogosity

preprocess374.0ms (2.5%)

Algorithm
egg-herbie
Rules
194×fma-define
172×fma-neg
82×sub-neg
56×neg-mul-1
54×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1781(1.575448797322356e+215)0-(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
00-0-x
00-0-(sqrt.f64 (+.f64 x 1))
00-0-(/.f64 1 (sqrt.f64 x))
00-0-(+.f64 x 1)
00-0-1
00-0-(sqrt.f64 x)
00-0-(/.f64 1 (sqrt.f64 (+.f64 x 1)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021176
137168
272164
3129164
4204164
5316164
6419164
7509164
8585164
9639164
10682164
11690164
12692164
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(+.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x))))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 -1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 -1 (sqrt.f64 (neg.f64 x))))
Compiler

Compiled 80 to 58 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
Operation ival-sqrt, time spent: 75.0ms, 46.0% of total-time
Operation ival-add, time spent: 38.0ms, 23.0% of total-time
Operation ival-div, time spent: 37.0ms, 23.0% of total-time
Operation const, time spent: 7.0ms, 4.0% of total-time
Operation ival-sub, time spent: 7.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 23 to 18 computations (21.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize156.0ms (1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.5%
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
99.5%
(/.f64 1 (sqrt.f64 x))
37.8%
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 34 to 24 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
Operation ival-div, time spent: 38.0ms, 40.0% of total-time
Operation ival-sqrt, time spent: 34.0ms, 36.0% of total-time
Operation ival-add, time spent: 15.0ms, 16.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time
Operation ival-sub, time spent: 3.0ms, 3.0% of total-time

series12.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
2.0ms
x
@-inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
2.0ms
x
@inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@-inf
(/.f64 1 (sqrt.f64 x))
1.0ms
x
@0
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite225.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1620×prod-diff
892×log1p-expm1-u
892×expm1-log1p-u
698×fma-define
402×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
118757
2263157
Stop Event
node limit
Counts
3 → 162
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
Outputs
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(*.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x)) (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 x) -1)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 x)) 1)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (fma.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) -1))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))) (neg.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 1))
(fma.f64 1 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 1 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))
(fma.f64 (pow.f64 x -1/2) 1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 x -1/2) 1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1 (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2))
(fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 x -1/2))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 x -1/2))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x))) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(fma.f64 (sqrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 x) -3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 x)))
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(*.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
(exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))) 1))

eval91.0ms (0.6%)

Compiler

Compiled 4187 to 3355 computations (19.9% saved)

prune45.0ms (0.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New18018198
Fresh000
Picked101
Done000
Total18118199
Accuracy
80.4%
Counts
199 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.5%
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
7.6%
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
37.8%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x)))
37.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
79.3%
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 2))
79.3%
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (pow.f64 x 2))
78.6%
(/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 x))) (pow.f64 x 2))
37.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
3.2%
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 1/2 x) 1))) x)
37.9%
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
29.0%
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
28.9%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
3.4%
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
26.8%
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 x)))
6.8%
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x)))))
29.3%
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
65.4%
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
5.6%
(sqrt.f64 (/.f64 1 x))
Compiler

Compiled 658 to 534 computations (18.8% saved)

localize2.6s (17.2%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 x)))
99.7%
(sqrt.f64 (/.f64 1 x))
80.2%
(/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 x))) (pow.f64 x 2))
100.0%
(/.f64 1 (+.f64 1 x))
100.0%
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
82.3%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
56.3%
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
99.7%
(sqrt.f64 (/.f64 1 x))
99.5%
(/.f64 1 (sqrt.f64 x))
99.7%
(sqrt.f64 (/.f64 1 x))
80.2%
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (pow.f64 x 2))
73.1%
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (*.f64 1/2 x)))
70.2%
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))
67.8%
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
Compiler

Compiled 405 to 313 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.8s
Operation ival-add, time spent: 404.0ms, 22.0% of total-time
Operation ival-pow, time spent: 376.0ms, 21.0% of total-time
Operation ival-div, time spent: 329.0ms, 18.0% of total-time
Operation ival-sqrt, time spent: 318.0ms, 18.0% of total-time
Operation ival-mult, time spent: 291.0ms, 16.0% of total-time
Operation const, time spent: 55.0ms, 3.0% of total-time
Operation ival-sub, time spent: 28.0ms, 2.0% of total-time

series41.0ms (0.3%)

Counts
14 → 136
Calls

42 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (pow.f64 x 2))
2.0ms
x
@inf
(sqrt.f64 (/.f64 1 x))
2.0ms
x
@0
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
2.0ms
x
@0
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
2.0ms
x
@inf
(sqrt.f64 (/.f64 1 x))

rewrite164.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
422×log1p-expm1-u
422×expm1-log1p-u
401×add-cube-cbrt
397×add-exp-log
395×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048504
1937440
Stop Event
node limit
Counts
14 → 390
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (*.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (pow.f64 x 2))
(sqrt.f64 (/.f64 1 x))
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (+.f64 1 x))
(/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 x))) (pow.f64 x 2))
(sqrt.f64 (/.f64 1 x))
(-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3/2))) 1)
(*.f64 1 (pow.f64 x -3/2))
(*.f64 (/.f64 1 x) (pow.f64 x -1/2))
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 (pow.f64 x -3/2)))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -3/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3) (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3))
(*.f64 (pow.f64 (pow.f64 x -1/4) 3) (pow.f64 (pow.f64 x -1/4) 3))
(/.f64 1 (sqrt.f64 (pow.f64 x 3)))
(pow.f64 x -3/2)
(pow.f64 (pow.f64 x 3) -1/2)
(pow.f64 (pow.f64 x -3) 1/2)
(pow.f64 (pow.f64 x -3/2) 1)
(pow.f64 (/.f64 1 x) 3/2)
(pow.f64 (pow.f64 x -1/2) 3)
(pow.f64 (pow.f64 (pow.f64 x -3) 3/2) 1/3)
(pow.f64 (pow.f64 x 3/2) -1)
(pow.f64 (sqrt.f64 (pow.f64 x 3)) -1)
(pow.f64 (sqrt.f64 (pow.f64 x -3/2)) 2)
(log.f64 (exp.f64 (pow.f64 x -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2))))
(cbrt.f64 (pow.f64 (pow.f64 x -3) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -3/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -3/2)))
(exp.f64 (log.f64 (pow.f64 x -3/2)))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -3/2)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 3))
(+.f64 (pow.f64 x -3/2) (*.f64 (*.f64 x 1/4) (pow.f64 x -3/2)))
(+.f64 (*.f64 (pow.f64 x -3/2) 1) (*.f64 (pow.f64 x -3/2) (*.f64 x 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)))) 1)
(pow.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) 1)
(pow.f64 (*.f64 (pow.f64 x -1/2) (cbrt.f64 (fma.f64 x 1/4 1))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1))) 2)
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/4 1)) (pow.f64 x -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -3) 3/2) (pow.f64 (fma.f64 x 1/4 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/4 1) 3) (pow.f64 (pow.f64 x -3) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1))) 1))
(fma.f64 1 (pow.f64 x -3/2) (*.f64 (*.f64 x 1/4) (pow.f64 x -3/2)))
(fma.f64 (pow.f64 x -3/2) 1 (*.f64 (pow.f64 x -3/2) (*.f64 x 1/4)))
(fma.f64 (/.f64 1 x) (pow.f64 x -1/2) (*.f64 (*.f64 x 1/4) (pow.f64 x -3/2)))
(fma.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 (pow.f64 x -3/2)) (*.f64 (*.f64 x 1/4) (pow.f64 x -3/2)))
(+.f64 (pow.f64 x -5/2) (*.f64 (*.f64 x 1/2) (pow.f64 x -5/2)))
(+.f64 (*.f64 (pow.f64 x -5/2) 1) (*.f64 (pow.f64 x -5/2) (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)))) 1)
(pow.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1))) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -5/2)) (fma.f64 x 1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -5) 3/2) (pow.f64 (fma.f64 x 1/2 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 (pow.f64 x -5) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1))) 1))
(fma.f64 1 (pow.f64 x -5/2) (*.f64 (*.f64 x 1/2) (pow.f64 x -5/2)))
(fma.f64 (pow.f64 x -5/2) 1 (*.f64 (pow.f64 x -5/2) (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x -5)) (cbrt.f64 (pow.f64 x -5/2)) (*.f64 (*.f64 x 1/2) (pow.f64 x -5/2)))
(fma.f64 (sqrt.f64 (pow.f64 x -5/2)) (sqrt.f64 (pow.f64 x -5/2)) (*.f64 (*.f64 x 1/2) (pow.f64 x -5/2)))
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (pow.f64 x 2)) (/.f64 (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2)))) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2)))) 1)
(*.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2)))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))) (sqrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))))
(pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))) 2)
(pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2)))))) -1)
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2)))))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x -5/2) (fma.f64 x 1/2 1)) -1/2) (fma.f64 -1/2 (sqrt.f64 x) (fma.f64 (*.f64 (pow.f64 x -3/2) (fma.f64 x 1/4 1)) -1/2 (*.f64 1/2 (pow.f64 x -1/2))))) (pow.f64 x -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) -1) (pow.f64 (sqrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x -3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 x -3/2))))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (sqrt.f64 x) 1))
(/.f64 1 (cbrt.f64 (sqrt.f64 (pow.f64 x 3))))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -3/2) 1/3)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (pow.f64 x 2) -1/4)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 (/.f64 (sqrt.f64 x) 1) -1)
(pow.f64 (pow.f64 x -1/4) 2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 x -3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
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(*.f64 (sqrt.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))) (sqrt.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))))
(pow.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))) 2)
(pow.f64 (/.f64 (pow.f64 x 2) (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) -1)
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/4) (pow.f64 x -1/4))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) -1) (pow.f64 (sqrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x -3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 x -3/2))))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (sqrt.f64 x) 1))
(/.f64 1 (cbrt.f64 (sqrt.f64 (pow.f64 x 3))))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -3/2) 1/3)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (pow.f64 x 2) -1/4)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 (/.f64 (sqrt.f64 x) 1) -1)
(pow.f64 (pow.f64 x -1/4) 2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 x -3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))
(+.f64 (*.f64 -1/2 (pow.f64 x -1/2)) (neg.f64 (*.f64 -1/2 (sqrt.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 x -1/2)) (*.f64 1/2 (sqrt.f64 x)))
(+.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) -1/2 (*.f64 -1/2 (sqrt.f64 x))))
(+.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (fma.f64 1/2 (sqrt.f64 x) (*.f64 -1/2 (sqrt.f64 x))))
(+.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (sqrt.f64 x)))) (sqrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (*.f64 -1/2 (sqrt.f64 x))))
(+.f64 (fma.f64 1 (*.f64 -1/2 (pow.f64 x -1/2)) (neg.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1))) (fma.f64 (neg.f64 (*.f64 -1/2 (sqrt.f64 x))) 1 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 -1/2 (pow.f64 x -1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x -1/2) (neg.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1))) (fma.f64 (neg.f64 (*.f64 -1/2 (sqrt.f64 x))) 1 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1)))
(+.f64 (fma.f64 -1/2 (pow.f64 x -1/2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)))))
(+.f64 (fma.f64 (pow.f64 x -1/2) -1/2 (neg.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1))) (fma.f64 (neg.f64 (*.f64 -1/2 (sqrt.f64 x))) 1 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 x -1/2) -1/2 (neg.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (neg.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1))) (fma.f64 (neg.f64 (*.f64 -1/2 (sqrt.f64 x))) 1 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (sqrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (neg.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1))) (fma.f64 (neg.f64 (*.f64 -1/2 (sqrt.f64 x))) 1 (*.f64 (*.f64 -1/2 (sqrt.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (sqrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)))))
(*.f64 1 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))))
(*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) 2)) (cbrt.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) (sqrt.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -3/2) -1/8) (*.f64 (pow.f64 x 3/2) -1/8)) (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x -1/2)) 2) (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2) (*.f64 (*.f64 -1/2 (pow.f64 x -1/2)) (*.f64 -1/2 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x -1/2)) 2) (pow.f64 (*.f64 -1/2 (sqrt.f64 x)) 2)) (fma.f64 -1/2 (pow.f64 x -1/2) (*.f64 -1/2 (sqrt.f64 x))))
(pow.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) 2)
(log.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))))
(exp.f64 (log.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) 1))
(fma.f64 1 (*.f64 -1/2 (pow.f64 x -1/2)) (neg.f64 (*.f64 -1/2 (sqrt.f64 x))))
(fma.f64 1 (*.f64 -1/2 (pow.f64 x -1/2)) (*.f64 1/2 (sqrt.f64 x)))
(fma.f64 1 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) -1/2 (*.f64 -1/2 (sqrt.f64 x))))
(fma.f64 -1/2 (pow.f64 x -1/2) (neg.f64 (*.f64 -1/2 (sqrt.f64 x))))
(fma.f64 -1/2 (pow.f64 x -1/2) (*.f64 1/2 (sqrt.f64 x)))
(fma.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) -1/2 (*.f64 -1/2 (sqrt.f64 x))))
(fma.f64 (pow.f64 x -1/2) -1/2 (neg.f64 (*.f64 -1/2 (sqrt.f64 x))))
(fma.f64 (pow.f64 x -1/2) -1/2 (*.f64 1/2 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) 2)) (cbrt.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 x)) -1/2 (*.f64 -1/2 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (neg.f64 (*.f64 -1/2 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (*.f64 1/2 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) (sqrt.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 x)) -1/2 (*.f64 -1/2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (sqrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (neg.f64 (*.f64 -1/2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (sqrt.f64 (*.f64 -1/2 (pow.f64 x -1/2))) (*.f64 1/2 (sqrt.f64 x)))

eval539.0ms (3.5%)

Compiler

Compiled 21926 to 17258 computations (21.3% saved)

prune234.0ms (1.5%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New87214886
Fresh7613
Picked325
Done000
Total88222904
Accuracy
99.9%
Counts
904 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.6%
(pow.f64 (pow.f64 x -1/4) 2)
5.6%
(pow.f64 x -1/2)
39.4%
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
79.3%
(/.f64 (/.f64 (-.f64 1 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
37.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
36.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
36.0%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
79.3%
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 2))
79.3%
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 1/4 (sqrt.f64 (/.f64 1 x)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (pow.f64 x 2))
98.0%
(/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
98.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
3.2%
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 1/2 x) 1))) x)
78.5%
(/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 x 2))
37.9%
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
5.6%
(/.f64 1 (sqrt.f64 x))
29.0%
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
3.4%
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
80.7%
(*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))
65.4%
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
5.6%
(sqrt.f64 (/.f64 1 x))
5.6%
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))
33.6%
(cbrt.f64 (pow.f64 x -3/2))
Compiler

Compiled 639 to 518 computations (18.9% saved)

localize1.3s (8.5%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
98.1%
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
83.9%
(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
56.3%
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
92.5%
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))
100.0%
(/.f64 1 (+.f64 1 x))
99.7%
(sqrt.f64 (/.f64 1 x))
82.2%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
56.3%
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
99.7%
(sqrt.f64 (/.f64 1 x))
99.7%
(/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
99.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
99.5%
(+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
Compiler

Compiled 264 to 202 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 827.0ms
Operation ival-div, time spent: 218.0ms, 26.0% of total-time
Operation ival-pow, time spent: 212.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 142.0ms, 17.0% of total-time
Operation ival-mult, time spent: 94.0ms, 11.0% of total-time
Operation ival-add, time spent: 82.0ms, 10.0% of total-time
Operation const, time spent: 27.0ms, 3.0% of total-time
Operation ival-sub, time spent: 19.0ms, 2.0% of total-time
Operation ival-log, time spent: 17.0ms, 2.0% of total-time
Operation ival-exp, time spent: 13.0ms, 2.0% of total-time
Operation ival-neg, time spent: 4.0ms, 0.0% of total-time

series61.0ms (0.4%)

Counts
13 → 129
Calls

39 calls:

TimeVariablePointExpression
22.0ms
x
@inf
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
6.0ms
x
@-inf
(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
3.0ms
x
@inf
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
2.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
2.0ms
x
@inf
(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))

rewrite126.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
386×associate-*r*
268×associate-*l*
258×log1p-expm1-u
258×expm1-log1p-u
246×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033455
1584213
Stop Event
node limit
Counts
13 → 535
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(sqrt.f64 (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(sqrt.f64 (/.f64 1 x))
(/.f64 1 (+.f64 1 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 3/8))) 1)
(-.f64 (/.f64 (*.f64 x 1/64) (*.f64 x -5/8)) (/.f64 (*.f64 x 1/4) (*.f64 x -5/8)))
(*.f64 1 (*.f64 x 3/8))
(*.f64 x (*.f64 x 3/8))
(*.f64 x 3/8)
(*.f64 (*.f64 x (cbrt.f64 3/8)) (cbrt.f64 (*.f64 x 9/64)))
(*.f64 (cbrt.f64 (*.f64 x 9/64)) (*.f64 x (cbrt.f64 3/8)))
(*.f64 (*.f64 x (sqrt.f64 3/8)) (*.f64 x (sqrt.f64 3/8)))
(*.f64 (+.f64 (*.f64 x -1/512) (*.f64 x 1/8)) (/.f64 1 (+.f64 (*.f64 x 1/64) (-.f64 (*.f64 x 1/4) (*.f64 -1/8 (*.f64 x 1/2))))))
(*.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (/.f64 1 (*.f64 x -5/8)))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/64) (-.f64 (*.f64 x 1/4) (*.f64 -1/8 (*.f64 x 1/2)))) (+.f64 (*.f64 x -1/512) (*.f64 x 1/8))))
(/.f64 1 (/.f64 (*.f64 x -5/8) (-.f64 (*.f64 x 1/64) (*.f64 x 1/4))))
(/.f64 (+.f64 (*.f64 x -1/512) (*.f64 x 1/8)) (+.f64 (*.f64 x 1/64) (-.f64 (*.f64 x 1/4) (*.f64 -1/8 (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8))
(/.f64 (neg.f64 (+.f64 (*.f64 x -1/512) (*.f64 x 1/8))) (neg.f64 (+.f64 (*.f64 x 1/64) (-.f64 (*.f64 x 1/4) (*.f64 -1/8 (*.f64 x 1/2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4))) (neg.f64 (*.f64 x -5/8)))
(/.f64 (+.f64 (*.f64 x 1/8) (*.f64 x -1/512)) (+.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/64) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 x)))))
(/.f64 (-.f64 (*.f64 x 1/4) (*.f64 x 1/64)) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 x)))
(pow.f64 (*.f64 x 3/8) 1)
(pow.f64 (*.f64 x (cbrt.f64 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 x 3/8) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 3/8)) 2)
(sqrt.f64 (*.f64 x 9/64))
(log.f64 (pow.f64 (exp.f64 x) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 3/8))))
(cbrt.f64 (pow.f64 (*.f64 x 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 x 3/8)))
(log1p.f64 (expm1.f64 (*.f64 x 3/8)))
(exp.f64 (log.f64 (*.f64 x 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 3/8)) 1))
(fma.f64 -1/8 x (*.f64 x 1/2))
(fma.f64 1 (*.f64 -1/8 x) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 -1/8 x))
(fma.f64 x -1/8 (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 -1/8 x))
(fma.f64 1/2 x (*.f64 -1/8 x))
(fma.f64 (cbrt.f64 (*.f64 x 1/64)) (*.f64 x (cbrt.f64 -1/8)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (*.f64 x 1/4)) (*.f64 x (cbrt.f64 1/2)) (*.f64 -1/8 x))
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (*.f64 x 1/2))
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (*.f64 -1/8 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x))) 1)
(*.f64 1 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x))
(*.f64 x (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x))
(*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x)
(*.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x) x)
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x) 2) (*.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x) (*.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) (*.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x))
(*.f64 (+.f64 (*.f64 x (/.f64 3/8 x)) (*.f64 -1/2 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) 1) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) 2) 1) (*.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) 2) x) (*.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) 1) (*.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x))
(pow.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x) 1)
(pow.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x) 2)
(pow.f64 (/.f64 x (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) -1)
(neg.f64 (/.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 (*.f64 x (/.f64 3/8 x)) (*.f64 -1/2 x)) x))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) 2) x))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x)))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) 3) x))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) 3) x))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 1/2 (*.f64 x (/.f64 3/8 x))) x)) 1))
(-.f64 0 (*.f64 x (/.f64 3/8 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 3/8 x)))) 1)
(*.f64 1 (*.f64 x (/.f64 3/8 x)))
(*.f64 x (*.f64 x (/.f64 3/8 x)))
(*.f64 x (/.f64 3/8 x))
(*.f64 x (*.f64 3/8 x))
(*.f64 (*.f64 x 3/8) x)
(*.f64 (*.f64 x 3/8) (neg.f64 x))
(*.f64 (*.f64 x 3/8) (*.f64 x -1))
(*.f64 -1 (*.f64 x (/.f64 3/8 x)))
(*.f64 (*.f64 x (/.f64 3/8 x)) x)
(*.f64 (*.f64 x (/.f64 3/8 x)) -1)
(*.f64 (*.f64 (*.f64 x (cbrt.f64 3/8)) x) (cbrt.f64 (*.f64 (*.f64 x 9/64) x)))
(*.f64 (cbrt.f64 (*.f64 x 9/64)) (*.f64 (*.f64 x (cbrt.f64 3/8)) x))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 9/64) x)) (*.f64 (*.f64 x (cbrt.f64 3/8)) x))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 9/64) x)) (neg.f64 (*.f64 (*.f64 x (cbrt.f64 3/8)) x)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 9/64) x)) (*.f64 (*.f64 (*.f64 x (cbrt.f64 3/8)) x) -1))
(*.f64 (*.f64 x (sqrt.f64 3/8)) (*.f64 (*.f64 x (sqrt.f64 3/8)) x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 3/8)) x) (*.f64 (*.f64 x (sqrt.f64 3/8)) x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 3/8)) x) (neg.f64 (*.f64 (*.f64 x (sqrt.f64 3/8)) x)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 3/8)) x) (*.f64 (*.f64 (*.f64 x (sqrt.f64 3/8)) x) -1))
(*.f64 (neg.f64 x) (*.f64 x (/.f64 3/8 x)))
(*.f64 (*.f64 x -3/8) x)
(*.f64 (*.f64 x -3/8) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x 3/8) 1) x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/64)) 1) (*.f64 (*.f64 x (cbrt.f64 3/8)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/64)) x) (*.f64 (*.f64 x (cbrt.f64 3/8)) x))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 3/8)) 1) (*.f64 (*.f64 x (sqrt.f64 3/8)) x))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x 9/64) x))) (*.f64 (*.f64 x (cbrt.f64 3/8)) x))
(*.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 3/8)) x)) (*.f64 (*.f64 x (sqrt.f64 3/8)) x))
(*.f64 (*.f64 -1 (cbrt.f64 (*.f64 (*.f64 x 9/64) x))) (*.f64 (*.f64 x (cbrt.f64 3/8)) x))
(*.f64 (*.f64 -1 (*.f64 (*.f64 x (sqrt.f64 3/8)) x)) (*.f64 (*.f64 x (sqrt.f64 3/8)) x))
(pow.f64 (*.f64 x (/.f64 3/8 x)) 1)
(pow.f64 (*.f64 (*.f64 x (cbrt.f64 3/8)) x) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 3/8 x)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 3/8)) x) 2)
(pow.f64 (*.f64 x (/.f64 x 3/8)) -1)
(neg.f64 (*.f64 x (/.f64 3/8 x)))
(sqrt.f64 (*.f64 (*.f64 x 9/64) x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 3/8) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 3/8 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 3/8 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 3/8) 3) x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 3/8) 3) x))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 3/8 x))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 3/8 x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 3/8 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 3/8 x))) 1))
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 x x)
(*.f64 -1 (neg.f64 x))
(*.f64 (pow.f64 1 -1/4) x)
(*.f64 (pow.f64 1 -1/2) x)
(*.f64 (pow.f64 1 1/2) x)
(*.f64 (pow.f64 x -1/8) (pow.f64 x -1/8))
(/.f64 1 x)
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 x 1)
(/.f64 x x)
(/.f64 -1 (neg.f64 x))
(/.f64 -1 (pow.f64 (neg.f64 x) 3))
(/.f64 (neg.f64 x) -1)
(/.f64 (neg.f64 x) (neg.f64 x))
(/.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(pow.f64 x 1)
(pow.f64 x 1/2)
(pow.f64 x -1)
(pow.f64 x -1/2)
(pow.f64 x 3)
(pow.f64 x 2)
(pow.f64 x -1/4)
(pow.f64 x 1/3)
(pow.f64 x -3)
(pow.f64 x -3/2)
(pow.f64 x -2)
(pow.f64 x 3/2)
(pow.f64 x 1/4)
(pow.f64 (exp.f64 1) (log.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 -1) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 1/2) (log.f64 x))
(neg.f64 (neg.f64 x))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 x)
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) -1/4))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (log.f64 x) 3))
(exp.f64 (*.f64 (log.f64 x) -1))
(exp.f64 (-.f64 (log.f64 x) (log.f64 x)))
(+.f64 x (+.f64 -1 (neg.f64 x)))
(+.f64 x (*.f64 (+.f64 -1 (neg.f64 x)) 1))
(+.f64 (-.f64 x (+.f64 1 x)) (fma.f64 (+.f64 -1 (neg.f64 x)) 1 (+.f64 1 x)))
(+.f64 (-.f64 x (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 1 x)))
(+.f64 (-.f64 x (+.f64 1 x)) (fma.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x) (+.f64 1 x)))
(*.f64 1 (-.f64 x (+.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 1 x))) 2) (cbrt.f64 (-.f64 x (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 x (+.f64 1 x))) (sqrt.f64 (-.f64 x (+.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 x x)) (+.f64 x x))
(*.f64 (-.f64 x (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 x (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x x)))))
(*.f64 (-.f64 x (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (+.f64 x (+.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 x x) (+.f64 1 (-.f64 x x))))
(/.f64 1 (/.f64 (+.f64 x (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x x))) (-.f64 x (pow.f64 (+.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 x)) (-.f64 x (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 x x))
(/.f64 (-.f64 x (pow.f64 (+.f64 1 x) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x x))))
(/.f64 (-.f64 x (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 1 x)))
(/.f64 (-.f64 (+.f64 -1 (neg.f64 x)) (*.f64 x -1)) (*.f64 x (+.f64 -1 (neg.f64 x))))
(/.f64 (-.f64 (+.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 1 x)))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (+.f64 -1 (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (-.f64 x (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 x (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 x (pow.f64 (+.f64 1 x) 2))) (neg.f64 (+.f64 x (+.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 (+.f64 -1 (neg.f64 x)) 3)) (+.f64 x (-.f64 (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 -1 (neg.f64 x))) (*.f64 x (+.f64 -1 (neg.f64 x))))))
(/.f64 (-.f64 x (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) (-.f64 x (+.f64 -1 (neg.f64 x))))
(pow.f64 (-.f64 x (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (+.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (+.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 x (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 x (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (+.f64 1 x))))
(log1p.f64 (expm1.f64 (-.f64 x (+.f64 1 x))))
(exp.f64 (log.f64 (-.f64 x (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (+.f64 1 x))) 1))
(fma.f64 1 x (+.f64 -1 (neg.f64 x)))
(fma.f64 x x (+.f64 -1 (neg.f64 x)))
(+.f64 x (neg.f64 (+.f64 x x)))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (+.f64 1 x))) (+.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 (-.f64 x (+.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (/.f64 (-.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 (cbrt.f64 (-.f64 x (+.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 1 x))) 2) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (/.f64 (cbrt.f64 (-.f64 x (+.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (/.f64 (sqrt.f64 (-.f64 x (+.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (-.f64 x (+.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 x (sqrt.f64 (hypot.f64 1 x))) (-.f64 x (sqrt.f64 (hypot.f64 1 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) 1) (-.f64 x (+.f64 1 x)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 1 x))) 2)) (cbrt.f64 (-.f64 x (+.f64 1 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (+.f64 1 x)))) (sqrt.f64 (-.f64 x (+.f64 1 x))))
(pow.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) -1)
(pow.f64 (-.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) 2)
(neg.f64 (/.f64 -1 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 x) (exp.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x (+.f64 1 x)) 3) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 1))
(exp.f64 (-.f64 (log.f64 (-.f64 x (+.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 1 x (neg.f64 (hypot.f64 1 x)))
(fma.f64 x x (neg.f64 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 x (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 x) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (-.f64 x (+.f64 1 x)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 x (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 x (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 x (+.f64 1 x))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (neg.f64 x) (+.f64 1 x)) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 (hypot.f64 1 x) 3)) (+.f64 x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (neg.f64 (+.f64 x (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) x) (+.f64 (+.f64 1 x) (-.f64 x (*.f64 (hypot.f64 1 x) x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 x x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

eval493.0ms (3.2%)

Compiler

Compiled 23745 to 17973 computations (24.3% saved)

prune171.0ms (1.1%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1128151143
Fresh8715
Picked325
Done112
Total1140251165
Accuracy
99.9%
Counts
1165 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.1%
(pow.f64 x -3/2)
36.4%
(pow.f64 x -3)
39.4%
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
79.3%
(/.f64 (/.f64 (-.f64 1 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
35.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/4))
36.0%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/2))
35.8%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 x x))
37.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
36.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
36.0%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
35.8%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (cbrt.f64 x))
96.0%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
98.0%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 x 1/8) (*.f64 x -1/512)) (+.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/64) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 x))))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
98.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
98.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 1/2 (pow.f64 x -1/2))) x)
32.1%
(/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)))) (*.f64 1/2 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 3))
78.5%
(/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 x 2))
39.4%
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (-.f64 (+.f64 -1 (neg.f64 x)) (*.f64 x -1)) (*.f64 x (+.f64 -1 (neg.f64 x))))))
37.9%
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
36.9%
(/.f64 1 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
37.3%
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
7.8%
(/.f64 1 x)
29.0%
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
80.7%
(*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))
65.4%
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
Compiler

Compiled 779 to 604 computations (22.5% saved)

localize2.1s (13.9%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
98.3%
(/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x)))
82.3%
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
7.3%
(-.f64 (+.f64 1 x) (*.f64 x 1))
99.9%
(+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
99.7%
(sqrt.f64 (/.f64 1 x))
99.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
99.5%
(/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8))
100.0%
(/.f64 1 (+.f64 1 x))
99.8%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (cbrt.f64 x))
99.2%
(cbrt.f64 x)
56.3%
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
99.7%
(/.f64 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x) x)
99.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
99.5%
(/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x)
99.5%
(+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)))
Compiler

Compiled 360 to 250 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.3s
Operation ival-mult, time spent: 619.0ms, 49.0% of total-time
Operation ival-pow, time spent: 208.0ms, 16.0% of total-time
Operation ival-div, time spent: 199.0ms, 16.0% of total-time
Operation ival-add, time spent: 97.0ms, 8.0% of total-time
Operation ival-sqrt, time spent: 82.0ms, 6.0% of total-time
Operation ival-sub, time spent: 33.0ms, 3.0% of total-time
Operation const, time spent: 32.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 6.0ms, 0.0% of total-time

series55.0ms (0.4%)

Counts
16 → 168
Calls

48 calls:

TimeVariablePointExpression
5.0ms
x
@0
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
3.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8))
3.0ms
x
@0
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
2.0ms
x
@0
(cbrt.f64 x)
2.0ms
x
@-inf
(cbrt.f64 x)

rewrite167.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
402×log1p-expm1-u
402×expm1-log1p-u
388×add-cube-cbrt
383×add-exp-log
383×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048554
1924526
Stop Event
node limit
Counts
16 → 385
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(/.f64 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x) x)
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(cbrt.f64 x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (cbrt.f64 x))
(/.f64 1 (+.f64 1 x))
(/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(sqrt.f64 (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 x) (*.f64 x 1))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x)))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3/8))) 1)
(*.f64 (sqrt.f64 x) 3/8)
(*.f64 1 (*.f64 (sqrt.f64 x) 3/8))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3/8)) 2) (cbrt.f64 (*.f64 (sqrt.f64 x) 3/8)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) 3/8)) (sqrt.f64 (*.f64 (sqrt.f64 x) 3/8)))
(/.f64 (+.f64 (*.f64 -1/512 (pow.f64 x 3/2)) (*.f64 1/8 (pow.f64 x 3/2))) (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) 1/2) 2) (*.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 x)) 2) (pow.f64 (*.f64 (sqrt.f64 x) 1/2) 2)) (-.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1/2)))
(pow.f64 (*.f64 (sqrt.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) 3/8) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) 3/8)) 2)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 x) 3/8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3/8)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) 3/8)) 1))
(fma.f64 -1/8 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))
(fma.f64 (sqrt.f64 x) -1/8 (*.f64 (sqrt.f64 x) 1/2))
(fma.f64 (sqrt.f64 x) 1/2 (*.f64 -1/8 (sqrt.f64 x)))
(fma.f64 1/2 (sqrt.f64 x) (*.f64 -1/8 (sqrt.f64 x)))
(fma.f64 1 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1/2))
(fma.f64 1 (*.f64 (sqrt.f64 x) 1/2) (*.f64 -1/8 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) 1/2) 2)) (cbrt.f64 (*.f64 (sqrt.f64 x) 1/2)) (*.f64 -1/8 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 x)) 2)) (cbrt.f64 (*.f64 -1/8 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) 1/2)) (sqrt.f64 (*.f64 (sqrt.f64 x) 1/2)) (*.f64 -1/8 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 -1/8 (sqrt.f64 x))) (sqrt.f64 (*.f64 -1/8 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) 1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x))) 1)
(*.f64 (*.f64 (sqrt.f64 x) 3/8) (/.f64 1 x))
(*.f64 1 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x)) 2) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x)) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x)))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x)) 2)
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 x) 3/8)) -1)
(log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) 3/8) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) 3/8) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x)))
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(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))) x)))
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(*.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))
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(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 x -3/2) 1/3)
(pow.f64 (pow.f64 x 2) -1/4)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 (pow.f64 x -1/4) 2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
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(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 x)))
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(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))))) 1)
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(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8)))) 3) (*.f64 (pow.f64 x -3/2) 1/8)) (+.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8)))) 2) (-.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -1/2)) 2) (*.f64 (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8)))) (*.f64 1/2 (pow.f64 x -1/2))))))
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(pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8)))))) 2)
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(fma.f64 1 (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8)))) (*.f64 1/2 (pow.f64 x -1/2)))
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(fma.f64 (sqrt.f64 (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))) (sqrt.f64 (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))) (*.f64 1/2 (pow.f64 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 x -1/2))) (sqrt.f64 (*.f64 1/2 (pow.f64 x -1/2))) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8)))))
(+.f64 1 (-.f64 x x))
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(+.f64 (+.f64 x 1) (*.f64 (neg.f64 x) 1))
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(+.f64 (+.f64 1 (-.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (+.f64 1 (-.f64 x x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 1 (+.f64 x 1) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
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(+.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 1 (+.f64 1 (-.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (-.f64 x x)) 2)) (cbrt.f64 (+.f64 1 (-.f64 x x))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) (sqrt.f64 (+.f64 1 (-.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (fma.f64 x x (+.f64 x (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 x 2)) (+.f64 (+.f64 x 1) x))
(pow.f64 (+.f64 1 (-.f64 x x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) 2)
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 x x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 x x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 x x))))
(exp.f64 (log1p.f64 (-.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 x x)) 1))
(fma.f64 1 (+.f64 x 1) (neg.f64 x))
(fma.f64 1 (+.f64 x 1) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (+.f64 x 1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))) 1)
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(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))) -1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3))
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(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) 1))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 1 (+.f64 x 1))))
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(+.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 1 (+.f64 x 1)) 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x 1))) 1 (*.f64 (/.f64 1 (+.f64 x 1)) 1)))
(+.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 x 1)) 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x 1))) 1 (*.f64 (/.f64 1 (+.f64 x 1)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))))
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 x (pow.f64 x 2))) (/.f64 x (+.f64 x (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))) 1)
(*.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (pow.f64 x 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 2)) (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))) 2)
(pow.f64 (/.f64 (+.f64 x (pow.f64 x 2)) (+.f64 1 (-.f64 x x))) -1)
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (-.f64 x x)) 3) (pow.f64 (+.f64 x (pow.f64 x 2)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))) 1))
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 1 (+.f64 x 1))))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 1 (+.f64 x 1))))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 1 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) 1)
(*.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 2)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(*.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (+.f64 x (pow.f64 x 2)) -1/2))))
(pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) 2)
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 1))
(fma.f64 1 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 1 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 x -1/2))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/2))
(fma.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/2))

eval302.0ms (2%)

Compiler

Compiled 13651 to 10253 computations (24.9% saved)

prune147.0ms (1%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New57313586
Fresh71017
Picked325
Done213
Total58526611
Accuracy
100.0%
Counts
611 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.4%
(pow.f64 (/.f64 x (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8)))))) -1)
95.7%
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))) x)) 2)
44.1%
(pow.f64 x -3/2)
36.4%
(pow.f64 x -3)
39.4%
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (fma.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)))
37.8%
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
96.0%
(/.f64 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) 3/8) x) x)
80.2%
(/.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
35.8%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 x x))
37.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
36.9%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
35.8%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (cbrt.f64 x))
96.0%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (pow.f64 x -1/2))) x)
95.9%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 x)))) x)
95.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (cbrt.f64 (pow.f64 x -3/2)))) x)
98.5%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x) x)) (*.f64 1/2 (pow.f64 (pow.f64 x -1/4) 2))) x)
98.7%
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
98.0%
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) x)
78.5%
(/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 x 2))
39.4%
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (-.f64 (+.f64 -1 (neg.f64 x)) (*.f64 x -1)) (*.f64 x (+.f64 -1 (neg.f64 x))))))
36.9%
(/.f64 1 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
37.3%
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
7.8%
(/.f64 1 x)
29.0%
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
95.9%
(*.f64 (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))) (/.f64 1 x))
65.4%
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
Compiler

Compiled 1451 to 1097 computations (24.4% saved)

regimes39.0ms (0.3%)

Counts
61 → 1
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 x x))
(pow.f64 x -3)
(pow.f64 x -3/2)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(/.f64 1 (sqrt.f64 x))
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) 3/8) x) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 1/2 x) 1))) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (cbrt.f64 x))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/2))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/4))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 1 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (pow.f64 x -1/2))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 x)))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 x 1/8) (*.f64 x -1/512)) (+.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/64) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 x))))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(cbrt.f64 (pow.f64 x -3/2))
(pow.f64 (pow.f64 x -1/4) 2)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 x 2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))) (/.f64 1 x))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (cbrt.f64 (pow.f64 x -3/2)))) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (-.f64 (+.f64 -1 (neg.f64 x)) (*.f64 x -1)) (*.f64 x (+.f64 -1 (neg.f64 x))))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (*.f64 -1/2 (-.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (pow.f64 x -2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(/.f64 (/.f64 (-.f64 1 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (/.f64 x (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8)))))) -1)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 1/2 (pow.f64 x -1/2))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))) x)) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) x) x)) (*.f64 1/2 (pow.f64 (pow.f64 x -1/4) 2))) x)
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)))) (*.f64 1/2 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 3))
(/.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 2))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (fma.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)))
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 1/4 (sqrt.f64 (/.f64 1 x)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 1/4 x)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (pow.f64 x 2))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
Outputs
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (*.f64 (sqrt.f64 x) 3/8) x) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
Calls

2 calls:

29.0ms
x
5.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes42.0ms (0.3%)

Counts
35 → 2
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 x x))
(pow.f64 x -3)
(pow.f64 x -3/2)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(/.f64 1 (sqrt.f64 x))
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) 3/8) x) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 1/2 x) 1))) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (cbrt.f64 x))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/2))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/4))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 1 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (pow.f64 x -1/2))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 x)))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 x 1/8) (*.f64 x -1/512)) (+.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/64) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 x))))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(cbrt.f64 (pow.f64 x -3/2))
(pow.f64 (pow.f64 x -1/4) 2)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 x 2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (fma.f64 1/2 (pow.f64 x -1/2) (neg.f64 (/.f64 (*.f64 x -15/64) (*.f64 x (*.f64 x -5/8))))) (/.f64 1 x))
Outputs
(/.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) x)
Calls

2 calls:

34.0ms
x
5.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.7%2x
99.7%2(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes22.0ms (0.1%)

Counts
33 → 1
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 x x))
(pow.f64 x -3)
(pow.f64 x -3/2)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(/.f64 1 (sqrt.f64 x))
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) 3/8) x) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 1/2 x) 1))) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (cbrt.f64 x))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/2))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/4))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 1 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (pow.f64 x -1/2))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 x)))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 x 1/8) (*.f64 x -1/512)) (+.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/64) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 x))))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(cbrt.f64 (pow.f64 x -3/2))
(pow.f64 (pow.f64 x -1/4) 2)
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 x 2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (+.f64 (*.f64 x 1/8) (*.f64 x -1/512)) (+.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/64) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 x))))) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
Calls

2 calls:

17.0ms
x
3.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
98.0%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
98.0%1x
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes14.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 x x))
(pow.f64 x -3)
(pow.f64 x -3/2)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(/.f64 1 (sqrt.f64 x))
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) 3/8) x) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 1/2 x) 1))) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (cbrt.f64 x))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/2))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 x -1/4))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 1 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (*.f64 x (+.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (pow.f64 x -1/2))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) x)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (/.f64 (-.f64 (*.f64 x 1/64) (*.f64 x 1/4)) (*.f64 x -5/8)) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 x)))) x)
Outputs
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) x)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 x x))
(pow.f64 x -3)
(pow.f64 x -3/2)
(pow.f64 x -1/2)
(sqrt.f64 (/.f64 1 x))
(/.f64 1 (sqrt.f64 x))
Outputs
(pow.f64 x -3/2)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
44.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
37.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
7.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch6.0ms (0%)

Algorithm
binary-search
Stop Event
fuel
predicate-same
Steps
TimeLeftRight
3.0ms
4.05048747352453e+23
4.989754920185114e+23
Results
2.0ms15×256valid
0.0ms256valid
Compiler

Compiled 157 to 120 computations (23.6% 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-sub, time spent: 0.0ms, 0.0% 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
Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

soundness2.5s (16.1%)

Rules
1620×prod-diff
892×log1p-expm1-u
892×expm1-log1p-u
698×fma-define
422×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033455
1584213
01373
118757
2263157
048554
1924526
048504
1937440
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 880 to 615 computations (30.1% saved)

end0.0ms (0%)

preprocess89.0ms (0.6%)

Compiler

Compiled 268 to 200 computations (25.4% saved)

Profiling

Loading profile data...