Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Time bar (total: 1.2s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample614.0ms (51.9%)

Results
602.0ms8256×body256valid
Bogosity

preprocess69.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
1018×fma-def
302×div-sub
166×times-frac
156×associate-/r*
112×associate-*r*
Problems
256×No Errors
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01047
12043
23843
39443
426339
580139
6134839
7151339
8180339
9182039
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x)))
Outputs
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x)))
(/.f64 (neg.f64 x) (+.f64 x 1))
(/.f64 x (-.f64 -1 x))
Compiler

Compiled 18 to 12 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

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

Compiled 12 to 8 computations (33.3% saved)

localize22.0ms (1.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 x (-.f64 1 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
1412×pow1
1314×add-exp-log
1314×log1p-expm1-u
1314×expm1-log1p-u
1290×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112813
2171613
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(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)
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.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))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))

simplify58.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
2050×fma-def
720×log-prod
530×log-div
390×associate-/l*
350×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111126
1287924
2917732
33903732
Stop Event
1×node limit
Counts
44 → 63
Calls
Call 1
Inputs
x
(+.f64 x (pow.f64 x 2))
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(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)
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.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))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
Outputs
x
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (fma.f64 x x x) (pow.f64 x 3))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(+.f64 (fma.f64 x x x) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))
(+.f64 x (+.f64 (*.f64 x (fma.f64 x x x)) (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 (pow.f64 x 3)) -1))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 (pow.f64 x 3)) -1))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 x (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))

eval14.0ms (1.2%)

Compiler

Compiled 639 to 423 computations (33.8% saved)

prune9.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464
Accuracy
100.0%
Counts
64 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (-.f64 1 x))
▶99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
58.6%
x
43.7%
-1
✓100.0%
(/.f64 x (-.f64 1 x))
▶99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
58.6%
x
43.7%
-1
Compiler

Compiled 36 to 26 computations (27.8% saved)

localize30.0ms (2.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 1 (-.f64 1 x))
✓99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
1530×pow1
1420×add-exp-log
1420×log1p-expm1-u
1420×expm1-log1p-u
1392×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
115026
2194326
Stop Event
1×node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(/.f64 1 (-.f64 1 x))
Outputs
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(/.f64 1 (/.f64 (-.f64 1 x) x))
(/.f64 x (-.f64 1 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 x 1) (-.f64 1 x))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 x -1) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 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))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 1 x))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))

simplify68.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
1016×unswap-sqr
802×fma-neg
696×times-frac
532×fma-def
504×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351692
13441392
211411132
350921132
Stop Event
1×node limit
Counts
66 → 96
Calls
Call 1
Inputs
x
(+.f64 x (pow.f64 x 2))
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(/.f64 1 (/.f64 (-.f64 1 x) x))
(/.f64 x (-.f64 1 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 x 1) (-.f64 1 x))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 x -1) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 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))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 1 x))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
Outputs
x
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (fma.f64 x x x) (pow.f64 x 3))
(+.f64 x (fma.f64 x x (pow.f64 x 3)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(+.f64 (fma.f64 x x x) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))
(+.f64 x (+.f64 (fma.f64 x x (pow.f64 x 3)) (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 (fma.f64 x x x) 1)
(+.f64 x (fma.f64 x x 1))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 (+.f64 (fma.f64 x x x) (pow.f64 x 3)) 1)
(+.f64 x (+.f64 1 (fma.f64 x x (pow.f64 x 3))))
(*.f64 (+.f64 x 1) (fma.f64 x x 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(/.f64 1 (/.f64 (-.f64 1 x) x))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 x 1) (-.f64 1 x))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(/.f64 (*.f64 x -1) (neg.f64 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 (fma.f64 x x x) 1))
(/.f64 (+.f64 (fma.f64 x x x) 1) (-.f64 1 (pow.f64 x 3)))
(/.f64 (+.f64 x (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (*.f64 1 (+.f64 x 1)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))
(pow.f64 (-.f64 1 x) -1)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (/.f64 -1 (+.f64 -1 x)) 0)
(/.f64 -1 (+.f64 x -1))

eval25.0ms (2.1%)

Compiler

Compiled 1016 to 702 computations (30.9% saved)

prune16.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done011
Total964100
Accuracy
100.0%
Counts
100 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (-.f64 1 x))
✓99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
58.6%
x
43.7%
-1
✓100.0%
(/.f64 x (-.f64 1 x))
✓99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
58.6%
x
43.7%
-1
Compiler

Compiled 36 to 26 computations (27.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (-.f64 1 x))
✓99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
58.6%
x
43.7%
-1
✓100.0%
(/.f64 x (-.f64 1 x))
✓99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
58.6%
x
43.7%
-1
Compiler

Compiled 36 to 26 computations (27.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (-.f64 1 x))
✓99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
58.6%
x
43.7%
-1
Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes9.0ms (0.8%)

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

2 calls:

5.0ms
x
3.0ms
(/.f64 x (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 x (-.f64 1 x))
Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes14.0ms (1.2%)

Counts
2 → 3
Calls
Call 1
Inputs
-1
x
Outputs
-1
x
-1
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
43.7%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch30.0ms (2.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.2090790899873363e-11
27.61248127338287
14.0ms
-18667.472730787464
-3.716545137706351e-9
Results
26.0ms320×body256valid
Compiler

Compiled 130 to 107 computations (17.7% saved)

simplify5.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
4×sub-neg
4×+-commutative
2×1-exp
2×neg-mul-1
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
12435
22735
32935
43035
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Compiler

Compiled 20 to 15 computations (25% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess70.0ms (5.9%)

Compiler

Compiled 48 to 34 computations (29.2% saved)

Profiling

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