exp neg sub

Time bar (total: 1.8s)

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 9 to 7 computations (22.2% saved)

sample744.0ms (42.4%)

Results
424.0ms4152×body256valid
309.0ms4104×body256infinite
Bogosity

preprocess92.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
1996×fma-def
1492×div-sub
1302×times-frac
666×associate-*r/
518×fma-neg
Problems
256×No Errors
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01463
13851
27951
315739
429139
562439
6204639
7573139
Stop Event
1×node limit
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))
Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
Symmetry

(abs x)

Compiler

Compiled 33 to 19 computations (42.4% saved)

eval1.0ms (0%)

Compiler

Compiled 18 to 11 computations (38.9% saved)

prune2.0ms (0.1%)

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

Compiled 26 to 18 computations (30.8% saved)

localize38.0ms (2.2%)

Localize:

Found 1 expressions with local error:

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

Compiled 29 to 15 computations (48.3% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (*.f64 x x) -1)
0.0ms
x
@0
(+.f64 (*.f64 x x) -1)
0.0ms
x
@-inf
(+.f64 (*.f64 x x) -1)

rewrite108.0ms (6.1%)

Algorithm
1×batch-egg-rewrite
Rules
1294×pow1
1202×add-exp-log
1202×log1p-expm1-u
1202×expm1-log1p-u
1182×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11339
216459
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) -1)
Outputs
(-.f64 (+.f64 1 (fma.f64 x x -1)) 1)
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 1 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1))))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1)))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x (*.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -1)

simplify48.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
864×fma-neg
830×div-sub
632×associate-*r*
568×associate-*l*
522×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083634
1195554
2651554
33614554
Stop Event
1×node limit
Counts
44 → 39
Calls
Call 1
Inputs
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (+.f64 1 (fma.f64 x x -1)) 1)
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 1 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1))))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1)))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x (*.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -1)
Outputs
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (+.f64 1 (fma.f64 x x -1)) 1)
(fma.f64 x x -1)
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(fma.f64 x x -1)
(*.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(*.f64 1 (fma.f64 x x -1))
(fma.f64 x x -1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(fma.f64 x x -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1))))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 x (*.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(fma.f64 x x -1)
(*.f64 (+.f64 x 1) (+.f64 x -1))
(fma.f64 x x -1)
(*.f64 (+.f64 x -1) (+.f64 x 1))
(fma.f64 x x -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1)))) (+.f64 -1 (pow.f64 x 6))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 x (*.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(fma.f64 x x -1)
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1)))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 x (*.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x (*.f64 x -1)))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 x (*.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(fma.f64 x x -1)
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1))))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 x (*.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(fma.f64 x x -1)
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(fma.f64 x x -1)
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -1)

eval10.0ms (0.6%)

Compiler

Compiled 419 to 311 computations (25.8% saved)

prune8.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked112
Done000
Total37441
Accuracy
100.0%
Counts
41 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
▶100.0%
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
▶59.2%
(exp.f64 (*.f64 x x))
▶50.5%
(exp.f64 -1)
✓100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
▶100.0%
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
▶59.2%
(exp.f64 (*.f64 x x))
▶50.5%
(exp.f64 -1)
Compiler

Compiled 48 to 36 computations (25% saved)

localize51.0ms (2.9%)

Localize:

Found 1 expressions with local error:

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

Compiled 37 to 24 computations (35.1% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
1738×pow1
1616×add-exp-log
1614×log1p-expm1-u
1614×expm1-log1p-u
1592×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
11759
223499
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (+.f64 x -1))
Outputs
(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(+.f64 (*.f64 x x) -1)
(+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1)))
(+.f64 (neg.f64 (+.f64 x 1)) (+.f64 x (*.f64 x x)))
(+.f64 (*.f64 (+.f64 x -1) x) (+.f64 x -1))
(+.f64 (*.f64 (+.f64 x (*.f64 x x)) 1) (*.f64 (neg.f64 (+.f64 x 1)) 1))
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(-.f64 (*.f64 x x) 1)
(-.f64 (+.f64 1 (fma.f64 x x -1)) 1)
(/.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (+.f64 x -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) (pow.f64 (neg.f64 (+.f64 x 1)) 3)) (+.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (-.f64 (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1))) (*.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 (*.f64 x x) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1)))) (-.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (+.f64 (*.f64 x x) 1))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x 1)) (+.f64 x 1))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(/.f64 (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x -1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x 1)) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (fma.f64 x x -1) 1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x (+.f64 x 1) (neg.f64 (+.f64 x 1)))
(fma.f64 (+.f64 x 1) x (neg.f64 (+.f64 x 1)))

simplify51.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
764×associate-/r*
590×associate-*r/
584×associate-+r+
534×associate-+l+
504×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01241208
14171048
22003964
Stop Event
1×node limit
Counts
56 → 62
Calls
Call 1
Inputs
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(+.f64 (*.f64 x x) -1)
(+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1)))
(+.f64 (neg.f64 (+.f64 x 1)) (+.f64 x (*.f64 x x)))
(+.f64 (*.f64 (+.f64 x -1) x) (+.f64 x -1))
(+.f64 (*.f64 (+.f64 x (*.f64 x x)) 1) (*.f64 (neg.f64 (+.f64 x 1)) 1))
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(-.f64 (*.f64 x x) 1)
(-.f64 (+.f64 1 (fma.f64 x x -1)) 1)
(/.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (+.f64 x -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) (pow.f64 (neg.f64 (+.f64 x 1)) 3)) (+.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (-.f64 (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1))) (*.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 (*.f64 x x) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1)))) (-.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (+.f64 (*.f64 x x) 1))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x 1)) (+.f64 x 1))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(/.f64 (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x -1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x 1)) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (fma.f64 x x -1) 1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x (+.f64 x 1) (neg.f64 (+.f64 x 1)))
(fma.f64 (+.f64 x 1) x (neg.f64 (+.f64 x 1)))
Outputs
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))
(fma.f64 x x -1)
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1)))
(fma.f64 x x -1)
(+.f64 (neg.f64 (+.f64 x 1)) (+.f64 x (*.f64 x x)))
(fma.f64 x x -1)
(+.f64 (*.f64 (+.f64 x -1) x) (+.f64 x -1))
(fma.f64 x x -1)
(+.f64 (*.f64 (+.f64 x (*.f64 x x)) 1) (*.f64 (neg.f64 (+.f64 x 1)) 1))
(fma.f64 x x -1)
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(fma.f64 x x -1)
(-.f64 (*.f64 x x) 1)
(fma.f64 x x -1)
(-.f64 (+.f64 1 (fma.f64 x x -1)) 1)
(fma.f64 x x -1)
(/.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -1))
(fma.f64 x x -1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1)))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 1 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 1 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (*.f64 -1 x)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (-.f64 (fma.f64 x x 1) x)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (*.f64 -1 x)))) (/.f64 (fma.f64 x x -1) (+.f64 -1 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)) (/.f64 (+.f64 x 1) 1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (*.f64 -1 x)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (-.f64 (fma.f64 x x 1) x)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (*.f64 -1 x)))) (/.f64 (fma.f64 x x -1) (+.f64 -1 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)) (/.f64 (+.f64 x 1) 1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) (pow.f64 (neg.f64 (+.f64 x 1)) 3)) (+.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (-.f64 (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1))) (*.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x 1) x) 3) (pow.f64 (neg.f64 (+.f64 x 1)) 3)) (fma.f64 (*.f64 (+.f64 x 1) x) (*.f64 (+.f64 x 1) x) (*.f64 (neg.f64 (+.f64 x 1)) (-.f64 (neg.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (pow.f64 (+.f64 x 1) 3)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (pow.f64 (+.f64 x 1) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 (*.f64 x x) 1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1) (+.f64 (*.f64 x (pow.f64 x 3)) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1)))) (-.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
(fma.f64 x x -1)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (+.f64 (*.f64 x x) 1))
(fma.f64 x x -1)
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x 1)) (+.f64 x 1))
(fma.f64 x x -1)
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x -1)) (+.f64 x -1))
(fma.f64 x x -1)
(/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 x -1))
(fma.f64 x x -1)
(/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))
(fma.f64 x x -1)
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (*.f64 -1 x)))) (/.f64 (fma.f64 x x -1) (+.f64 -1 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)) (/.f64 (+.f64 x 1) 1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 1 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x -1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 1 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x 1)) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (*.f64 -1 x)))) (/.f64 (fma.f64 x x -1) (+.f64 -1 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)) (/.f64 (+.f64 x 1) 1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (+.f64 x (fma.f64 x x 1)))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x -1) 3)))
(fma.f64 x x -1)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)))
(fma.f64 x x -1)
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 x (+.f64 x 1) (neg.f64 (+.f64 x 1)))
(fma.f64 x x -1)
(fma.f64 (+.f64 x 1) x (neg.f64 (+.f64 x 1)))
(fma.f64 x x -1)

eval74.0ms (4.2%)

Compiler

Compiled 971 to 643 computations (33.8% saved)

prune9.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New62062
Fresh000
Picked033
Done011
Total62466
Accuracy
100.0%
Counts
66 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
✓100.0%
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓59.2%
(exp.f64 (*.f64 x x))
✓50.5%
(exp.f64 -1)
Compiler

Compiled 57 to 39 computations (31.6% saved)

regimes18.0ms (1%)

Counts
6 → 1
Calls
Call 1
Inputs
(exp.f64 -1)
(exp.f64 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
Outputs
(exp.f64 (fma.f64 x x -1))
Calls

5 calls:

4.0ms
x
4.0ms
(*.f64 x x)
3.0ms
(-.f64 1 (*.f64 x x))
3.0ms
(neg.f64 (-.f64 1 (*.f64 x x)))
2.0ms
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
100.0%1(neg.f64 (-.f64 1 (*.f64 x x)))
100.0%1(-.f64 1 (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 60 to 39 computations (35% saved)

regimes20.0ms (1.1%)

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

5 calls:

6.0ms
(-.f64 1 (*.f64 x x))
4.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(neg.f64 (-.f64 1 (*.f64 x x)))
2.0ms
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
100.0%1(neg.f64 (-.f64 1 (*.f64 x x)))
100.0%1(-.f64 1 (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 55 to 36 computations (34.5% saved)

regimes14.0ms (0.8%)

Counts
2 → 2
Calls
Call 1
Inputs
(exp.f64 -1)
(exp.f64 (*.f64 x x))
Outputs
(exp.f64 -1)
(exp.f64 (*.f64 x x))
Calls

2 calls:

8.0ms
x
5.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.3%2x
99.3%2(*.f64 x x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(exp.f64 -1)
Outputs
(exp.f64 -1)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
50.5%1x
Compiler

Compiled 5 to 4 computations (20% saved)

bsearch14.0ms (0.8%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
3.765573952868452e-5
1.6445813312548774
Results
12.0ms128×body256valid
Compiler

Compiled 76 to 65 computations (14.5% saved)

simplify5.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01966
12066
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x x -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(if (<=.f64 (*.f64 x x) 4278419646001971/4503599627370496) (exp.f64 -1) (exp.f64 (*.f64 x x)))
(exp.f64 -1)
Outputs
(exp.f64 (fma.f64 x x -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(if (<=.f64 (*.f64 x x) 4278419646001971/4503599627370496) (exp.f64 -1) (exp.f64 (*.f64 x x)))
(exp.f64 -1)
Compiler

Compiled 29 to 20 computations (31% saved)

soundness322.0ms (18.4%)

Rules
1996×fma-def
1996×fma-def
1492×div-sub
1492×div-sub
1302×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01463
13851
27951
315739
429139
562439
6204639
7573139
01463
13851
27951
315739
429139
562439
6204639
7573139
083634
1195554
2651554
33614554
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 130 to 73 computations (43.8% saved)

end0.0ms (0%)

preprocess65.0ms (3.7%)

Remove

(abs x)

Compiler

Compiled 80 to 52 computations (35% saved)

Profiling

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