Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

Time bar (total: 8.4s)

analyze0.0ms (0%)

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

Compiled 7 to 5 computations (28.6% saved)

sample943.0ms (11.3%)

Results
688.0ms6184×256valid
241.0ms2072×256infinite
Bogosity

preprocess128.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
388×fma-def
74×associate-*r*
68×distribute-lft-in
56×distribute-rgt-in
48×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 x 1)
00-0-1
00-0-(*.f64 x (-.f64 x 1))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01396
13478
27376
320775
439975
570475
671175
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
(*.f64 x (-.f64 x 1))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) 1))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) 1)))
Outputs
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) 1))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) -1))
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) 1)))
(*.f64 (neg.f64 (neg.f64 x)) (+.f64 (neg.f64 x) -1))
(*.f64 x (fma.f64 -1 x -1))
(*.f64 x (-.f64 -1 x))
Compiler

Compiled 30 to 20 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (-.f64 x 1))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize42.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 x 1)
✓100.0%
x
✓100.0%
1
✓100.0%
(*.f64 x (-.f64 x 1))
Rules
314×fma-def
34×cancel-sign-sub-inv
32×distribute-rgt-in
28×distribute-lft-neg-in
24×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
11834
22434
33034
43434
53934
65034
77034
814134
926334
1037034
1139234
1239434
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
x
(-.f64 x 1)
1
Outputs
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
x
(-.f64 x 1)
(+.f64 x -1)
1
Compiler

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts
4 → 15
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 x (-.f64 x 1))
0.0ms
x
@-inf
(*.f64 x (-.f64 x 1))
0.0ms
x
@0
(*.f64 x (-.f64 x 1))
0.0ms
x
@-inf
x
0.0ms
x
@inf
x

rewrite242.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
522×unpow-prod-down
349×log1p-expm1-u
349×expm1-log1p-u
348×log-prod
334×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
18434
2101234
Stop Event
1×node limit
Counts
4 → 154
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
1
x
(-.f64 x 1)
Outputs
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 -1 x x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 0 (-.f64 (pow.f64 x 2) x))
(+.f64 (pow.f64 x 2) (*.f64 x -1))
(+.f64 (pow.f64 x 2) (*.f64 -1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(-.f64 (pow.f64 x 2) x)
(-.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x)) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) x) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(pow.f64 (-.f64 (pow.f64 x 2) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x)) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x)))) (sqrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x 2) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x))) 2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 2) x)))
(fma.f64 x x (*.f64 x -1))
(fma.f64 x x (*.f64 -1 x))
(fma.f64 x x (neg.f64 x))
(fma.f64 1 (pow.f64 x 2) (*.f64 x -1))
(fma.f64 1 (pow.f64 x 2) (*.f64 -1 x))
(fma.f64 1 (pow.f64 x 2) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x -1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 -1 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x -1))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 -1 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 x))
(+.f64 1 (+.f64 x -1))
(+.f64 0 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x 1) 1)
(*.f64 x 1)
(*.f64 x (log.f64 (E.f64)))
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 1 1/3) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 (+.f64 x 1) -1)
(fma.f64 (+.f64 x 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 x -1)
(+.f64 x (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 x -1))
(+.f64 -1 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(*.f64 1 (+.f64 x -1))
(*.f64 (+.f64 x -1) 1)
(*.f64 (+.f64 x -1) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(*.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (+.f64 (pow.f64 x 3) -1) (/.f64 1 (+.f64 (fma.f64 x x 1) x)))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (pow.f64 (+.f64 x -1) 3/2)))
(*.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 5/2) 1/3) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 5/2)) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 3/2)) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 5)) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) x) (+.f64 (pow.f64 x 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x 3) -1) (+.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 (pow.f64 x 3) -1) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(/.f64 (fma.f64 x x -1) (+.f64 x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1)) (neg.f64 (+.f64 (fma.f64 x x 1) x)))
(/.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (pow.f64 x 3) -1))) (cbrt.f64 (+.f64 (fma.f64 x x 1) x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x -1) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1)) 3)
(pow.f64 (pow.f64 (+.f64 x -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1)))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x 1) x) (+.f64 (pow.f64 x 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1)))) (sqrt.f64 (log.f64 (+.f64 x -1))))
(sqrt.f64 (pow.f64 (+.f64 x -1) 2))
(log.f64 (exp.f64 (+.f64 x -1)))
(cbrt.f64 (pow.f64 (+.f64 x -1) 3))
(expm1.f64 (log.f64 x))
(exp.f64 (log.f64 (+.f64 x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 x -1)))
(fma.f64 x 1 -1)
(fma.f64 1 x -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1)

simplify75.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1196×fma-neg
858×associate-+r+
746×associate-+l+
592×cancel-sign-sub-inv
542×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03283494
16973327
224943271
Stop Event
1×node limit
Counts
169 → 195
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
-1
x
x
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 -1 x x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 0 (-.f64 (pow.f64 x 2) x))
(+.f64 (pow.f64 x 2) (*.f64 x -1))
(+.f64 (pow.f64 x 2) (*.f64 -1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(-.f64 (pow.f64 x 2) x)
(-.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x)) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) x) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(pow.f64 (-.f64 (pow.f64 x 2) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x)) 2)
(pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x)))) (sqrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x 2) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x))) 2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 2) x)))
(fma.f64 x x (*.f64 x -1))
(fma.f64 x x (*.f64 -1 x))
(fma.f64 x x (neg.f64 x))
(fma.f64 1 (pow.f64 x 2) (*.f64 x -1))
(fma.f64 1 (pow.f64 x 2) (*.f64 -1 x))
(fma.f64 1 (pow.f64 x 2) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x -1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 -1 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x -1))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 -1 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 x))
(+.f64 1 (+.f64 x -1))
(+.f64 0 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x 1) 1)
(*.f64 x 1)
(*.f64 x (log.f64 (E.f64)))
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 1 1/3) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 (+.f64 x 1) -1)
(fma.f64 (+.f64 x 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 x -1)
(+.f64 x (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 x -1))
(+.f64 -1 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(*.f64 1 (+.f64 x -1))
(*.f64 (+.f64 x -1) 1)
(*.f64 (+.f64 x -1) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(*.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (+.f64 (pow.f64 x 3) -1) (/.f64 1 (+.f64 (fma.f64 x x 1) x)))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (pow.f64 (+.f64 x -1) 3/2)))
(*.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x -1))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 5/2) 1/3) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 5/2)) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 3/2)) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 5)) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) x) (+.f64 (pow.f64 x 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x 3) -1) (+.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 (pow.f64 x 3) -1) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(/.f64 (fma.f64 x x -1) (+.f64 x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1)) (neg.f64 (+.f64 (fma.f64 x x 1) x)))
(/.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (pow.f64 x 3) -1))) (cbrt.f64 (+.f64 (fma.f64 x x 1) x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x -1) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1)) 3)
(pow.f64 (pow.f64 (+.f64 x -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1)))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x 1) x) (+.f64 (pow.f64 x 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1)))) (sqrt.f64 (log.f64 (+.f64 x -1))))
(sqrt.f64 (pow.f64 (+.f64 x -1) 2))
(log.f64 (exp.f64 (+.f64 x -1)))
(cbrt.f64 (pow.f64 (+.f64 x -1) 3))
(expm1.f64 (log.f64 x))
(exp.f64 (log.f64 (+.f64 x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 x -1)))
(fma.f64 x 1 -1)
(fma.f64 1 x -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
-1
x
x
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 -1 x x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 0 (-.f64 (pow.f64 x 2) x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (pow.f64 x 2) (*.f64 x -1))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (pow.f64 x 2) (*.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 x)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(-.f64 (+.f64 1 (-.f64 (pow.f64 x 2) x)) 1)
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 x (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x 3) (neg.f64 x)) (+.f64 x 1))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) x) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 x (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x 3) (neg.f64 x)) (+.f64 x 1))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
(pow.f64 (-.f64 (pow.f64 x 2) x) 1)
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x)) 3)
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 2) 1/2)
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3) 1/3)
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x)) 2)
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 -1 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 -1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x)))) (sqrt.f64 (log.f64 (-.f64 (pow.f64 x 2) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 -1 x))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 -1 x)))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(exp.f64 (log.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) x))) 3))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x 2) x) 3)) 1/3))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x))) 2))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 x x (*.f64 x -1))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 x x (*.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 x x (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 1 (pow.f64 x 2) (*.f64 x -1))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 1 (pow.f64 x 2) (*.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 1 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 x -1))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (*.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x -1))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x -1))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x -1))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(*.f64 x (+.f64 -1 x))
(+.f64 1 (+.f64 x -1))
x
(+.f64 0 x)
x
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
x
(-.f64 (+.f64 x 1) 1)
x
(*.f64 x 1)
x
(*.f64 x (log.f64 (E.f64)))
x
(*.f64 1 x)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 x 3/4) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/3) x)
x
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 x 3/4) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 5/2))
(pow.f64 x 1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 2) 1/2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
x
(exp.f64 (*.f64 (log.f64 (pow.f64 x 3)) 1/3))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 (+.f64 x 1) -1)
x
(fma.f64 (+.f64 x 1) 1 -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
x
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 x -1)
(+.f64 -1 x)
(+.f64 x (log.f64 (exp.f64 -1)))
(+.f64 -1 x)
(+.f64 0 (+.f64 x -1))
(+.f64 -1 x)
(+.f64 -1 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 x)))))
(*.f64 1 (+.f64 x -1))
(+.f64 -1 x)
(*.f64 (+.f64 x -1) 1)
(+.f64 -1 x)
(*.f64 (+.f64 x -1) (log.f64 (E.f64)))
(+.f64 -1 x)
(*.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(+.f64 -1 x)
(*.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4)))
(+.f64 -1 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)))
(+.f64 -1 x)
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))
(+.f64 -1 x)
(*.f64 (+.f64 (pow.f64 x 3) -1) (/.f64 1 (+.f64 (fma.f64 x x 1) x)))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (+.f64 x (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (+.f64 x 1)))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)))
(/.f64 (fma.f64 x x -1) (+.f64 x 1))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (pow.f64 (+.f64 x -1) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (pow.f64 (+.f64 -1 x) 3/2)))
(*.f64 (pow.f64 (+.f64 -1 x) 3/4) (sqrt.f64 (sqrt.f64 (+.f64 -1 x))))
(*.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1))
(+.f64 -1 x)
(*.f64 (pow.f64 1 1/3) (+.f64 x -1))
(+.f64 -1 x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 x) (cbrt.f64 (+.f64 -1 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 5/2) 1/3) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 5/2)) (sqrt.f64 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 x) (cbrt.f64 (+.f64 -1 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 5/2)) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 5/2)) (sqrt.f64 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x -1) 3/2)) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (pow.f64 (+.f64 -1 x) 3/2)))
(*.f64 (pow.f64 (+.f64 -1 x) 3/4) (sqrt.f64 (sqrt.f64 (+.f64 -1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 4)) (cbrt.f64 (+.f64 x -1)))
(+.f64 -1 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 5)) (sqrt.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 5)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 5/2))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) x) (+.f64 (pow.f64 x 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (+.f64 x (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (+.f64 x 1)))
(/.f64 1 (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)))
(/.f64 (fma.f64 x x -1) (+.f64 x 1))
(/.f64 (+.f64 (pow.f64 x 3) -1) (+.f64 (fma.f64 x x 1) x))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (+.f64 x (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 x 3) -1) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (+.f64 x (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x -1) (+.f64 x 1))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1)) (neg.f64 (+.f64 (fma.f64 x x 1) x)))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (+.f64 x (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x 1)))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)))
(/.f64 (fma.f64 x x -1) (+.f64 x 1))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (pow.f64 x 3) -1))) (cbrt.f64 (+.f64 (fma.f64 x x 1) x)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (pow.f64 (+.f64 -1 x) 2))) (cbrt.f64 (+.f64 x (fma.f64 x x 1))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (pow.f64 (+.f64 -1 x) 2))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))) (cbrt.f64 (+.f64 x 1)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) (pow.f64 (+.f64 -1 x) 2))) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x -1) 1)
(+.f64 -1 x)
(pow.f64 (cbrt.f64 (+.f64 x -1)) 3)
(+.f64 -1 x)
(pow.f64 (pow.f64 (+.f64 x -1) 2) 1/2)
(+.f64 -1 x)
(pow.f64 (pow.f64 (+.f64 x -1) 3) 1/3)
(+.f64 -1 x)
(pow.f64 (sqrt.f64 (+.f64 x -1)) 2)
(+.f64 -1 x)
(pow.f64 (E.f64) (log.f64 (+.f64 x -1)))
(+.f64 -1 x)
(pow.f64 (/.f64 (+.f64 (fma.f64 x x 1) x) (+.f64 (pow.f64 x 3) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (+.f64 x (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (+.f64 x 1)))
(pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) -1)
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)))
(/.f64 (fma.f64 x x -1) (+.f64 x 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x -1))) 2)) (cbrt.f64 (log.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x -1)))) (sqrt.f64 (log.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 x)))) (sqrt.f64 (log.f64 (+.f64 -1 x))))
(sqrt.f64 (pow.f64 (+.f64 x -1) 2))
(+.f64 -1 x)
(log.f64 (exp.f64 (+.f64 x -1)))
(+.f64 -1 x)
(cbrt.f64 (pow.f64 (+.f64 x -1) 3))
(+.f64 -1 x)
(expm1.f64 (log.f64 x))
(+.f64 -1 x)
(exp.f64 (log.f64 (+.f64 x -1)))
(+.f64 -1 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) 3))
(+.f64 -1 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -1))) 1/3))
(+.f64 -1 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -1))) 2))
(+.f64 -1 x)
(log1p.f64 (expm1.f64 (+.f64 x -1)))
(+.f64 -1 x)
(fma.f64 x 1 -1)
(+.f64 -1 x)
(fma.f64 1 x -1)
(+.f64 -1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1)
(+.f64 -1 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1)
(+.f64 -1 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1)
(+.f64 -1 x)

eval57.0ms (0.7%)

Compiler

Compiled 2633 to 1750 computations (33.5% saved)

prune43.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2393242
Fresh000
Picked011
Done000
Total2394243
Accuracy
100.0%
Counts
243 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x x (neg.f64 x))
✓100.0%
(*.f64 x (-.f64 x 1))
▶48.0%
(*.f64 x x)
▶54.6%
(neg.f64 x)
Compiler

Compiled 19 to 11 computations (42.1% saved)

localize225.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 x x (neg.f64 x))
✓100.0%
(neg.f64 x)
100.0%
x
✓100.0%
(*.f64 x x)
100.0%
x
✓100.0%
(neg.f64 x)
100.0%
x
Rules
272×fma-def
34×cancel-sign-sub-inv
28×distribute-lft-neg-in
24×distribute-rgt-in
22×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01063
11560
22360
33660
44960
57260
615960
729560
833960
936160
1036360
Stop Event
1×saturated
Calls
Call 1
Inputs
(neg.f64 x)
x
(*.f64 x x)
x
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)
Outputs
(neg.f64 x)
x
(*.f64 x x)
x
(fma.f64 x x (neg.f64 x))
(*.f64 x (+.f64 x -1))
x
(neg.f64 x)
Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 x x (neg.f64 x))
0.0ms
x
@0
(*.f64 x x)
0.0ms
x
@-inf
(fma.f64 x x (neg.f64 x))
0.0ms
x
@inf
(*.f64 x x)
0.0ms
x
@inf
(fma.f64 x x (neg.f64 x))

rewrite60.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
564×prod-diff
438×unpow-prod-down
278×log-prod
276×cbrt-prod
253×log1p-expm1-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01032
18916
210044
Stop Event
1×node limit
Counts
4 → 4
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
(neg.f64 x)
(fma.f64 x x (neg.f64 x))
Outputs
0
0
0
0

simplify99.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1214×fma-neg
1138×associate-*r*
876×distribute-lft-neg-in
868×unswap-sqr
814×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011533
122515
240515
377515
4197515
5714515
63561515
77806515
Stop Event
1×node limit
Counts
52 → 8
Calls
Call 1
Inputs
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
0
0
0
0
Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (pow.f64 x 2) x)
0
0
0
0

eval293.0ms (3.5%)

Compiler

Compiled 7989 to 3592 computations (55% saved)

prune119.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New8561857
Fresh000
Picked033
Done011
Total8565861
Accuracy
100.0%
Counts
861 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x x (neg.f64 x))
✓100.0%
(*.f64 x (-.f64 x 1))
✓48.0%
(*.f64 x x)
✓54.6%
(neg.f64 x)
▶3.9%
0
Compiler

Compiled 21 to 13 computations (38.1% saved)

localize14.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Compiler

Compiled 3 to 3 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite24.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
1×saturated
Counts
1 → 0
Calls
Call 1
Inputs
0
Outputs

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x x (neg.f64 x))
✓100.0%
(*.f64 x (-.f64 x 1))
✓48.0%
(*.f64 x x)
✓54.6%
(neg.f64 x)
✓3.9%
0
Compiler

Compiled 38 to 21 computations (44.7% saved)

regimes9.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
0
(neg.f64 x)
(*.f64 x x)
(*.f64 x (-.f64 x 1))
(fma.f64 x x (neg.f64 x))
Outputs
(fma.f64 x x (neg.f64 x))
Calls

2 calls:

4.0ms
x
4.0ms
(*.f64 x (-.f64 x 1))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 x (-.f64 x 1))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes40.0ms (0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
0
(neg.f64 x)
(*.f64 x x)
(*.f64 x (-.f64 x 1))
Outputs
(*.f64 x (-.f64 x 1))
Calls

2 calls:

36.0ms
(*.f64 x (-.f64 x 1))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 x (-.f64 x 1))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
0
(neg.f64 x)
(*.f64 x x)
Outputs
(*.f64 x x)
(neg.f64 x)
(*.f64 x x)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
97.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
0
(neg.f64 x)
Outputs
(neg.f64 x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
54.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
3.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch102.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
88.0ms
0.022841158510737106
41837641.77270151
14.0ms
-34349375038.61533
-0.06832313097414772
Results
99.0ms304×256valid
Compiler

Compiled 181 to 121 computations (33.1% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×sub-neg
6×+-commutative
6×*-commutative
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022102
136102
241102
347102
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x 1))
(if (<=.f64 x -1) (*.f64 x x) (if (<=.f64 x 1) (neg.f64 x) (*.f64 x x)))
(neg.f64 x)
0
Outputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(if (<=.f64 x -1) (*.f64 x x) (if (<=.f64 x 1) (neg.f64 x) (*.f64 x x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (*.f64 x x) (neg.f64 x))
(neg.f64 x)
0
Compiler

Compiled 32 to 21 computations (34.4% saved)

soundness5.8s (68.9%)

Rules
1196×fma-neg
858×associate-+r+
746×associate-+l+
592×cancel-sign-sub-inv
564×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0834
18434
2101234
03283494
16973327
224943271
01032
18916
210044
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 123 to 59 computations (52% saved)

end0.0ms (0%)

preprocess45.0ms (0.5%)

Compiler

Compiled 80 to 44 computations (45% saved)

Profiling

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