Details

Time bar (total: 1.3s)

analyze1.0ms (0%)

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

Compiled 7 to 5 computations (28.6% saved)

sample580.0ms (44.1%)

Results
432.0ms6274×body256valid
136.0ms1982×body256infinite
Bogosity

preprocess24.0ms (1.8%)

Algorithm
egg-herbie
Rules
314×fma-def
34×cancel-sign-sub-inv
32×distribute-rgt-in
28×distribute-lft-neg-in
24×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11313
21913
32513
42913
53413
64513
76513
813613
925813
1036513
1138713
1238913
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 x (-.f64 x 1))
Outputs
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(-.f64 (*.f64 x x) x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify22.0ms (1.7%)

Algorithm
egg-herbie
Rules
314×fma-def
34×cancel-sign-sub-inv
32×distribute-rgt-in
28×distribute-lft-neg-in
24×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11313
21913
32513
42913
53413
64513
76513
813613
925813
1036513
1138713
1238913
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
Outputs
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(-.f64 (*.f64 x x) x)

eval1.0ms (0%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Accurracy
78.5%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(-.f64 (*.f64 x x) x)
78.5%
(*.f64 x (-.f64 x 1))
Compiler

Compiled 12 to 7 computations (41.7% saved)

localize21.0ms (1.6%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 x (-.f64 x 1))
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 x 1))
0.0ms
x
@-inf
(*.f64 x (-.f64 x 1))
0.0ms
x
@0
(*.f64 x (-.f64 x 1))

rewrite50.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
1212×pow1
1124×add-exp-log
1122×log1p-expm1-u
1122×expm1-log1p-u
1104×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112513
2157213
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
Outputs
(+.f64 (*.f64 x x) (*.f64 x -1))
(+.f64 (*.f64 x x) (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1))))

simplify59.0ms (4.5%)

Algorithm
egg-herbie
Rules
1754×fma-def
1300×log-prod
676×fma-neg
670×*-commutative
642×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053437
1126425
2391421
32511409
46365409
Stop Event
node limit
Counts
29 → 31
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 x -1))
(+.f64 (*.f64 x x) (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 x x) (*.f64 x -1))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 x x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(-.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 1)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) x)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
(*.f64 x (*.f64 1 (+.f64 -1 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) x)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
(*.f64 x (*.f64 1 (+.f64 -1 x)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/3)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 2)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1))))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1))))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)

localize18.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 x 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 (*.f64 x x) x)
0.0ms
x
@inf
(-.f64 (*.f64 x x) x)
0.0ms
x
@-inf
(-.f64 (*.f64 x x) x)

rewrite52.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
1208×pow1
1128×add-exp-log
1128×log1p-expm1-u
1128×expm1-log1p-u
1104×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
111213
2158213
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) x)
Outputs
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x 1))
(*.f64 (-.f64 (*.f64 x x) x) 1)
(*.f64 1 (-.f64 (*.f64 x x) x))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) x)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (sqrt.f64 (-.f64 (*.f64 x x) x)))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(*.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x x) (neg.f64 x)))
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) x)))
(fma.f64 x x (neg.f64 x))
(fma.f64 1 (*.f64 x x) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (neg.f64 x))

simplify60.0ms (4.6%)

Algorithm
egg-herbie
Rules
1108×fma-def
634×distribute-lft-neg-in
548×distribute-frac-neg
532×distribute-rgt-neg-in
522×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01001006
1245926
2909914
34763844
Stop Event
node limit
Counts
48 → 47
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x 1))
(*.f64 (-.f64 (*.f64 x x) x) 1)
(*.f64 1 (-.f64 (*.f64 x x) x))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) x)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (sqrt.f64 (-.f64 (*.f64 x x) x)))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(*.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x x) (neg.f64 x)))
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) x)))
(fma.f64 x x (neg.f64 x))
(fma.f64 1 (*.f64 x x) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (neg.f64 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (*.f64 x x) x)
(+.f64 (neg.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(*.f64 x (-.f64 x 1))
(-.f64 (*.f64 x x) x)
(*.f64 (-.f64 (*.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(*.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2))
(-.f64 (*.f64 x x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (sqrt.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 x x) x) 1)
(*.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))
(-.f64 (*.f64 x x) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 1 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x 4) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 x x) x) 1)
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 (*.f64 x x) x) 1)
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 x x) x) 1)
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x x) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 x x) x) 1)
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3)
(-.f64 (*.f64 x x) x)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) 1/3)
(-.f64 (*.f64 x x) x)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 2)
(-.f64 (*.f64 x x) x)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2))
(-.f64 (*.f64 x x) x)
(log.f64 (exp.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3))
(-.f64 (*.f64 x x) x)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(exp.f64 (log.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 1 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (neg.f64 x))
(-.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4))) x)

eval19.0ms (1.4%)

Compiler

Compiled 732 to 339 computations (53.7% saved)

prune9.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh000
Picked011
Done011
Total76480
Accurracy
79.2%
Counts
80 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(-.f64 (*.f64 x x) x)
78.5%
(*.f64 x (-.f64 x 1))
24.4%
(*.f64 x x)
55.2%
(neg.f64 x)
Compiler

Compiled 19 to 11 computations (42.1% saved)

localize13.0ms (1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize14.0ms (1.1%)

Compiler

Compiled 6 to 3 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Accurracy
79.2%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(-.f64 (*.f64 x x) x)
78.5%
(*.f64 x (-.f64 x 1))
24.4%
(*.f64 x x)
55.2%
(neg.f64 x)
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes9.0ms (0.7%)

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

2 calls:

4.0ms
(*.f64 x (-.f64 x 1))
4.0ms
x
Results
AccuracySegmentsBranch
78.5%1x
78.5%1(*.f64 x (-.f64 x 1))
Compiler

Compiled 24 to 12 computations (50% saved)

regimes9.0ms (0.7%)

Accuracy

Total -45.2b remaining (-279.4%)

Threshold costs -45.2b (-279.4%)

Counts
2 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
Outputs
(*.f64 x x)
(neg.f64 x)
(*.f64 x x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
74.7%3x
Compiler

Compiled 8 to 4 computations (50% saved)

bsearch23.0ms (1.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.4781108582568616
15.364136149655328
11.0ms
-24.083789680608962
-0.0032001966537613343
Results
20.0ms240×body256valid
Compiler

Compiled 145 to 97 computations (33.1% saved)

simplify6.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01755
12955
23455
34055
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
(if (<=.f64 x -1) (*.f64 x x) (if (<=.f64 x 1) (neg.f64 x) (*.f64 x x)))
(neg.f64 x)
Outputs
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(if (<=.f64 x -1) (*.f64 x x) (if (<=.f64 x 1) (neg.f64 x) (*.f64 x x)))
(neg.f64 x)
Compiler

Compiled 26 to 15 computations (42.3% saved)

soundness224.0ms (17.1%)

Rules
1754×fma-def
1754×fma-def
1300×log-prod
1300×log-prod
676×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053437
1126425
2391421
32511409
46365409
053437
1126425
2391421
32511409
46365409
Stop Event
node limit
node limit
Compiler

Compiled 13 to 8 computations (38.5% saved)

end99.0ms (7.5%)

Compiler

Compiled 72 to 38 computations (47.2% saved)

Profiling

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