Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Details

Time bar (total: 3.5s)

analyze1.2s (33.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
0%0%399.8%-299.8%0%0%0%2
0%0%799.6%-699.6%0%0%0%3
0%0%1599.2%-1499.2%0%0%0%4
0%0%3198.4%-3098.4%0%0%0%5
0%0%6396.9%-6296.9%0%0%0%6
0%0%12793.8%-12693.8%0%0%0%7
0%0%25587.5%-25487.5%0%0%0%8
0%0%51175%-51075%0%0%0%9
0%0%102350%-102250%0%0%0%10
0%0%204700%-204600%0%0%0%11
0%0%409400%-409300%0%0%0%12
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.3s (36.1%)

Results
1.3s8256×body256valid
Bogosity

preprocess20.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
22×sub-neg
14×+-commutative
12×fma-def
8×div-sub
6×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11113
21513
32213
43013
54013
65313
77113
88413
98713
108813
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(/.f64 x (-.f64 1 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify17.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
22×sub-neg
14×+-commutative
12×fma-def
8×div-sub
6×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11113
21513
32213
43013
54013
65313
77113
88413
98713
108813
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(/.f64 x (-.f64 1 x))

eval1.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
100.0%
Counts
2 → 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)

localize50.0ms (1.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

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))

rewrite57.0ms (1.6%)

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))))

simplify56.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
2052×fma-def
722×log-prod
530×log-div
384×associate-/l*
362×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01101134
1287924
2919732
33846732
Stop Event
1×node limit
Counts
44 → 61
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.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 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) x)
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 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))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.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 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.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 -1 (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 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 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.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 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.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 -1 (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 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))

eval13.0ms (0.4%)

Compiler

Compiled 619 to 412 computations (33.4% saved)

prune11.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New56561
Fresh000
Picked011
Done000
Total56662
Accurracy
100.0%
Counts
62 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.5%
(fma.f64 x x x)
✓100.0%
(/.f64 x (-.f64 1 x))
▶52.4%
(+.f64 x (*.f64 x (fma.f64 x x x)))
▶99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
52.0%
x
49.2%
-1
▶51.5%
(fma.f64 x x x)
✓100.0%
(/.f64 x (-.f64 1 x))
▶52.4%
(+.f64 x (*.f64 x (fma.f64 x x x)))
▶99.9%
(*.f64 (/.f64 1 (-.f64 1 x)) x)
52.0%
x
49.2%
-1
Compiler

Compiled 64 to 38 computations (40.6% saved)

localize106.0ms (3%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 43 to 17 computations (60.5% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 x (fma.f64 x x x))
1.0ms
x
@-inf
(*.f64 x (fma.f64 x x x))
0.0ms
x
@0
(*.f64 x (fma.f64 x x x))
0.0ms
x
@-inf
(*.f64 (/.f64 1 (-.f64 1 x)) x)
0.0ms
x
@0
(*.f64 (/.f64 1 (-.f64 1 x)) x)

rewrite71.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
998×log-prod
744×prod-exp
644×pow-prod-down
494×pow-prod-up
464×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
120828
2262428
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 x (fma.f64 x x x))
Outputs
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 1 (/.f64 (-.f64 1 x) x))
(/.f64 x (-.f64 1 x))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.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 (cbrt.f64 (pow.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)) 2) 1/2)
(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 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 1 x)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 (neg.f64 x)) -1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (neg.f64 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (neg.f64 x)) -1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1)))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(+.f64 0 (*.f64 x (fma.f64 x x x)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) 1)
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6) 1/3)
(pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 2)
(sqrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x x x)))))
(cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 x 3/2) x)) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x x x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x x x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x x x)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 1 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) 1) x (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (pow.f64 x 5/2) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))

simplify67.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1152×log-prod
716×associate-*r*
686×fma-def
600×associate-*l*
426×log-div
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02221903
14911641
211601627
351811627
Stop Event
1×node limit
Counts
105 → 116
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 1 (/.f64 (-.f64 1 x) x))
(/.f64 x (-.f64 1 x))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.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 (cbrt.f64 (pow.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)) 2) 1/2)
(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 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 1 x)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 (neg.f64 x)) -1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (neg.f64 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (neg.f64 x)) -1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1)))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(+.f64 0 (*.f64 x (fma.f64 x x x)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) 1)
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6) 1/3)
(pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 2)
(sqrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x x x)))))
(cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 x 3/2) x)) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x x x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x x x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x x x)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 1 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) 1) x (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (pow.f64 x 5/2) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(+.f64 x (fma.f64 x x (pow.f64 x 3)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 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 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.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 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 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 -1 (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.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 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 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 -1 (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 x (-.f64 1 x))
(/.f64 1 (/.f64 (-.f64 1 x) x))
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (-.f64 1 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (-.f64 1 x)))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 x 1) (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(/.f64 (*.f64 x -1) (neg.f64 (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)))
(/.f64 x (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (cbrt.f64 (-.f64 1 x))))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1/2)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(/.f64 x (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 x (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1) 1))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (-.f64 1 x)))) 1/3))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 1 x)))) 2))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 (neg.f64 x)) -1)))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1)))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (neg.f64 x)) -1)))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1)))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (*.f64 (log.f64 x) 1)))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) (log.f64 x)))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) (*.f64 (log.f64 x) 1)))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) (log.f64 x)))
(/.f64 x (-.f64 1 x))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) (*.f64 (log.f64 x) 1)))
(/.f64 x (-.f64 1 x))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(/.f64 x (-.f64 1 x))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log1p.f64 (neg.f64 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(+.f64 0 (*.f64 x (fma.f64 x x x)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x x x)))) 1)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4) 1/2)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6) 1/3)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 2)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(sqrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 4))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x x x)))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1) 1))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x)))) 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 x 3/2) x) 6)) 1/3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 x 3/2) x)) 2))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x x x)) 1)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x x x)) 1)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (+.f64 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 x) 1)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1) (log.f64 x)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1) (*.f64 (log.f64 x) 1)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(fma.f64 1 (pow.f64 x 3) (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(fma.f64 x (*.f64 x x) (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(fma.f64 (*.f64 (*.f64 x x) 1) x (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(fma.f64 (pow.f64 x 5/2) (sqrt.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 5/2) (sqrt.f64 x)))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))

eval24.0ms (0.7%)

Compiler

Compiled 1202 to 680 computations (43.4% saved)

prune16.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh022
Picked213
Done011
Total1175122
Accurracy
100.0%
Counts
122 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (-.f64 1 x))
✓52.4%
(+.f64 x (*.f64 x (fma.f64 x x x)))
▶51.5%
(+.f64 x (*.f64 x x))
52.0%
x
49.2%
-1
✓100.0%
(/.f64 x (-.f64 1 x))
✓52.4%
(+.f64 x (*.f64 x (fma.f64 x x x)))
▶51.5%
(+.f64 x (*.f64 x x))
52.0%
x
49.2%
-1
Compiler

Compiled 50 to 28 computations (44% saved)

localize45.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 x (*.f64 x x))
Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1200×pow1
1124×add-exp-log
1122×log1p-expm1-u
1122×expm1-log1p-u
1104×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0513
11129
216419
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(+.f64 x (*.f64 x x))
Outputs
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x))))
(*.f64 x (+.f64 x 1))
(*.f64 (fma.f64 x x x) 1)
(*.f64 1 (fma.f64 x x x))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x))))
(*.f64 (+.f64 x 1) x)
(*.f64 (*.f64 (+.f64 x 1) 1) x)
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(exp.f64 (log.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 1 x (*.f64 x x))
(fma.f64 1 (*.f64 x x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))

simplify58.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1430×fma-neg
1134×log-prod
968×associate-*r*
928×associate-*l*
842×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092698
1212668
2685668
34629668
Stop Event
1×node limit
Counts
50 → 44
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x))))
(*.f64 x (+.f64 x 1))
(*.f64 (fma.f64 x x x) 1)
(*.f64 1 (fma.f64 x x x))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x))))
(*.f64 (+.f64 x 1) x)
(*.f64 (*.f64 (+.f64 x 1) 1) x)
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(exp.f64 (log.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 1 x (*.f64 x x))
(fma.f64 1 (*.f64 x x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(fma.f64 x x x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (fma.f64 x x x) 1)
(fma.f64 x x x)
(*.f64 1 (fma.f64 x x x))
(fma.f64 x x x)
(*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))
(fma.f64 x x x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 x x x)
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(*.f64 (+.f64 x 1) x)
(fma.f64 x x x)
(*.f64 (*.f64 (+.f64 x 1) 1) x)
(fma.f64 x x x)
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(fma.f64 x x x)
(*.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 x x x)
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4))))
(fma.f64 x x x)
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))
(fma.f64 x x x)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(fma.f64 x x x)
(pow.f64 (fma.f64 x x x) 1)
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(fma.f64 x x x)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(fma.f64 x x x)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(fma.f64 x x x)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(fma.f64 x x x)
(log.f64 (exp.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(fma.f64 x x x)
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(exp.f64 (log.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 x x x)
(fma.f64 1 x (*.f64 x x))
(fma.f64 x x x)
(fma.f64 1 (*.f64 x x) x)
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 x x x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 x x x)

eval8.0ms (0.2%)

Compiler

Compiled 429 to 203 computations (52.7% saved)

prune19.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New44044
Fresh022
Picked011
Done022
Total44549
Accurracy
100.0%
Counts
49 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (-.f64 1 x))
✓52.4%
(+.f64 x (*.f64 x (fma.f64 x x x)))
✓51.5%
(+.f64 x (*.f64 x x))
52.0%
x
49.2%
-1
✓100.0%
(/.f64 x (-.f64 1 x))
✓52.4%
(+.f64 x (*.f64 x (fma.f64 x x x)))
✓51.5%
(+.f64 x (*.f64 x x))
52.0%
x
49.2%
-1
Compiler

Compiled 50 to 28 computations (44% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (-.f64 1 x))
✓52.4%
(+.f64 x (*.f64 x (fma.f64 x x x)))
✓51.5%
(+.f64 x (*.f64 x x))
52.0%
x
49.2%
-1
Compiler

Compiled 57 to 29 computations (49.1% saved)

regimes11.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
x
(+.f64 x (*.f64 x x))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(fma.f64 x x x)
(+.f64 x (*.f64 x (fma.f64 x x x)))
Outputs
(/.f64 x (-.f64 1 x))
Calls

2 calls:

6.0ms
x
3.0ms
(/.f64 x (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 x (-.f64 1 x))
Compiler

Compiled 40 to 20 computations (50% saved)

regimes10.0ms (0.3%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 10 to 5 computations (50% saved)

regimes10.0ms (0.3%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
97.7%3x
Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0.1%)

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
49.2%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch52.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.1641572980082722e-8
687.9969706055459
25.0ms
-1797.6815517814734
-0.01954306293468043
Results
49.0ms304×body256valid
Compiler

Compiled 200 to 140 computations (30% saved)

bsearch50.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
1.1641572980082722e-8
687.9969706055459
24.0ms
-1797.6815517814734
-0.01954306293468043
Results
46.0ms304×body256valid
Compiler

Compiled 124 to 102 computations (17.7% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02068
13368
23668
33868
43968
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (+.f64 x (*.f64 x x)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3422735716801577/4503599627370496) -1 (if (<=.f64 x 1) (+.f64 x (*.f64 x x)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness182.0ms (5.1%)

Rules
2052×fma-def
1152×log-prod
722×log-prod
716×associate-*r*
686×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01101134
1287924
2919732
33846732
02221903
14911641
211601627
351811627
Stop Event
1×node limit
1×node limit
Compiler

Compiled 104 to 49 computations (52.9% saved)

end41.0ms (1.2%)

Compiler

Compiled 78 to 54 computations (30.8% saved)

Profiling

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