Details

Time bar (total: 3.2s)

analyze9.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
50%50%0%4
75%25%0%5
87.5%12.5%0%6
93.7%6.2%0%7
96.8%3.1%0%8
98.4%1.6%0%9
99.2%0.8%0%10
99.6%0.4%0%11
99.8%0.2%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.5s (47%)

Results
623.0ms1993×body1024valid
464.0ms4453×body128valid
256.0ms1067×body512valid
90.0ms537×body256valid
78.0ms206×body2048valid
Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess67.0ms (2.1%)

Algorithm
2×egg-herbie
Rules
859×fma-neg_binary64
764×fma-def_binary64
321×div-sub_binary64
169×associate-/l*_binary64
149×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33419
46019
510019
620519
737719
895119
9212719
10275119
11306219
12387919
13417319
14421519
15421719
16421919
17422919
18422919
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify60.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
859×fma-neg_binary64
764×fma-def_binary64
321×div-sub_binary64
169×associate-/l*_binary64
149×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33419
46019
510019
620519
737719
895119
9212719
10275119
11306219
12387919
13417319
14421519
15421719
16421919
17422919
18422919
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
28.7b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶28.7b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 55 to 39 computations (29.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
✓0.0b
(/.f64 x (+.f64 x 1))
✓2.5b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite75.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
470×fma-def_binary64
286×fma-neg_binary64
267×log-div_binary64
174×expm1-udef_binary64
174×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
119536
2322236
Stop Event
1×node limit
Counts
3 → 210
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 x (+.f64 x 1))
(/.f64 (+.f64 x 1) (-.f64 x 1))
Outputs
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simplify34.0ms (1%)

Algorithm
1×egg-herbie
Rules
405×fma-neg_binary64
344×cancel-sign-sub-inv_binary64
289×associate-*l*_binary64
287×fma-def_binary64
232×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064475
1204443
2626430
31939428
Stop Event
1×node limit
Counts
246 → 250
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
1
(+.f64 1 (*.f64 3 x))
(fma.f64 3 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 3 x)))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 x (+.f64 3 x) (fma.f64 3 (pow.f64 x 3) 1))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(-.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 4)))
(+.f64 x (-.f64 (pow.f64 x 3) (fma.f64 x x (pow.f64 x 4))))
(*.f64 (fma.f64 x x 1) (fma.f64 x (neg.f64 x) x))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(+.f64 -1 (neg.f64 (*.f64 x 2)))
(-.f64 -1 (*.f64 x 2))
(fma.f64 x -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))))
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(-.f64 -1 (*.f64 2 (fma.f64 x x x)))
(fma.f64 -2 (fma.f64 x x x) -1)
(fma.f64 (fma.f64 x x x) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3))))))
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x))))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))

prune220.0ms (6.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2473250
Fresh000
Picked101
Done000
Total2483251
Error
0.0b
Counts
251 → 3
Alt Table
StatusErrorProgram
▶29.1b
(fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
32.7b
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
31.2b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
Compiler

Compiled 6160 to 4539 computations (26.3% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)
✓0.0b
(pow.f64 (/.f64 x (+.f64 x 1)) 2)
✓2.5b
(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))
✓31.3b
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))

series9.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))
1.0ms
x
@inf
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))
1.0ms
x
@0
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))
1.0ms
x
@inf
(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))
1.0ms
x
@0
(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))

rewrite78.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
245×log1p-udef_binary64
167×add-sqr-sqrt_binary64
164×pow1_binary64
162×*-un-lft-identity_binary64
156×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01571
134070
2468570
Stop Event
1×node limit
Counts
4 → 133
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))
(pow.f64 (/.f64 x (+.f64 x 1)) 2)
(pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (sqrt.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) (-.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2)) (-.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))))))
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(2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (+.f64 -1 (neg.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2)))))))

simplify30.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
486×fma-neg_binary64
405×cancel-sign-sub-inv_binary64
325×fma-def_binary64
293×associate-/r*_binary64
168×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081516
1247492
2741483
32394479
Stop Event
1×node limit
Counts
181 → 175
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
-1
(neg.f64 (+.f64 1 (*.f64 4 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 7 (pow.f64 x 2)) (*.f64 4 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 7 (pow.f64 x 2)) (+.f64 (*.f64 4 x) (*.f64 14 (pow.f64 x 3))))))
(/.f64 -6 x)
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 5 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 5 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 11 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 5 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -6 x)
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 5 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 5 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 11 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 5 (/.f64 1 (pow.f64 x 2)))))))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (*.f64 2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 5)) (*.f64 2 (pow.f64 x 3))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 4 x))
(+.f64 1 (+.f64 (*.f64 8 (pow.f64 x 2)) (*.f64 4 x)))
(+.f64 1 (+.f64 (*.f64 8 (pow.f64 x 2)) (+.f64 (*.f64 4 x) (*.f64 12 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 4 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 4 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))))
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
-1
(neg.f64 (+.f64 1 (*.f64 4 x)))
(+.f64 -1 (neg.f64 (*.f64 4 x)))
(+.f64 -1 (*.f64 x -4))
(fma.f64 x -4 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 7 (pow.f64 x 2)) (*.f64 4 x))))
(+.f64 -1 (neg.f64 (fma.f64 7 (*.f64 x x) (*.f64 4 x))))
(-.f64 -1 (fma.f64 4 x (*.f64 7 (*.f64 x x))))
(-.f64 -1 (*.f64 x (+.f64 4 (*.f64 x 7))))
(fma.f64 x -4 (fma.f64 x (*.f64 x -7) -1))
(neg.f64 (+.f64 1 (+.f64 (*.f64 7 (pow.f64 x 2)) (+.f64 (*.f64 4 x) (*.f64 14 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (fma.f64 7 (*.f64 x x) (fma.f64 4 x (*.f64 14 (pow.f64 x 3))))))
(-.f64 -1 (fma.f64 7 (*.f64 x x) (fma.f64 4 x (*.f64 14 (pow.f64 x 3)))))
(-.f64 -1 (fma.f64 4 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x 14) 7))))
(-.f64 -1 (*.f64 x (+.f64 4 (*.f64 x (+.f64 (*.f64 x 14) 7)))))
(/.f64 -6 x)
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 5 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 6 x) (/.f64 5 (*.f64 x x))))
(+.f64 (/.f64 -6 x) (/.f64 -5 (*.f64 x x)))
(+.f64 (/.f64 -6 x) (/.f64 (/.f64 -5 x) x))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 5 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 6 x) (+.f64 (/.f64 5 (*.f64 x x)) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (/.f64 -6 x) (+.f64 (/.f64 (/.f64 5 x) x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -6 x) (/.f64 (/.f64 -5 x) x)) (/.f64 -16 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -6 x) (/.f64 -5 (*.f64 x x))) (/.f64 -16 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 11 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 5 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6 x) (+.f64 (/.f64 5 (*.f64 x x)) (/.f64 16 (pow.f64 x 3)))) (/.f64 11 (pow.f64 x 4))))
(-.f64 (/.f64 -11 (pow.f64 x 4)) (+.f64 (/.f64 6 x) (+.f64 (/.f64 (/.f64 5 x) x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -11 (pow.f64 x 4)) (+.f64 (/.f64 6 x) (/.f64 (/.f64 5 x) x))) (/.f64 16 (pow.f64 x 3)))
(+.f64 (/.f64 -5 (*.f64 x x)) (+.f64 (/.f64 -16 (pow.f64 x 3)) (+.f64 (/.f64 -11 (pow.f64 x 4)) (/.f64 -6 x))))
(/.f64 -6 x)
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 5 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 6 x) (/.f64 5 (*.f64 x x))))
(+.f64 (/.f64 -6 x) (/.f64 -5 (*.f64 x x)))
(+.f64 (/.f64 -6 x) (/.f64 (/.f64 -5 x) x))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 5 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 6 x) (+.f64 (/.f64 5 (*.f64 x x)) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (/.f64 -6 x) (+.f64 (/.f64 (/.f64 5 x) x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -6 x) (/.f64 (/.f64 -5 x) x)) (/.f64 -16 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -6 x) (/.f64 -5 (*.f64 x x))) (/.f64 -16 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 11 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 6 (/.f64 1 x)) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 5 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6 x) (+.f64 (/.f64 5 (*.f64 x x)) (/.f64 16 (pow.f64 x 3)))) (/.f64 11 (pow.f64 x 4))))
(-.f64 (/.f64 -11 (pow.f64 x 4)) (+.f64 (/.f64 6 x) (+.f64 (/.f64 (/.f64 5 x) x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -11 (pow.f64 x 4)) (+.f64 (/.f64 6 x) (/.f64 (/.f64 5 x) x))) (/.f64 16 (pow.f64 x 3)))
(+.f64 (/.f64 -5 (*.f64 x x)) (+.f64 (/.f64 -16 (pow.f64 x 3)) (+.f64 (/.f64 -11 (pow.f64 x 4)) (/.f64 -6 x))))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) (*.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 x x (*.f64 (pow.f64 x 3) -2))
(fma.f64 (pow.f64 x 3) -2 (*.f64 x x))
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))
(+.f64 (fma.f64 3 (pow.f64 x 4) (*.f64 x x)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 3) -2)))
(fma.f64 3 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (*.f64 x x)))
(fma.f64 x x (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 3) -2)))
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 5)) (*.f64 2 (pow.f64 x 3))))
(-.f64 (fma.f64 3 (pow.f64 x 4) (*.f64 x x)) (fma.f64 4 (pow.f64 x 5) (*.f64 2 (pow.f64 x 3))))
(-.f64 (fma.f64 x x (*.f64 3 (pow.f64 x 4))) (fma.f64 4 (pow.f64 x 5) (*.f64 2 (pow.f64 x 3))))
(fma.f64 x x (fma.f64 3 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (*.f64 (pow.f64 x 5) -4))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 3 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (-.f64 1 (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 3 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 3 (*.f64 x x))) (-.f64 (/.f64 -2 x) (/.f64 4 (pow.f64 x 3))))
(+.f64 (/.f64 3 (*.f64 x x)) (-.f64 (-.f64 1 (/.f64 2 x)) (/.f64 4 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 3 x) x) (-.f64 (-.f64 1 (/.f64 2 x)) (/.f64 4 (pow.f64 x 3))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 3 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (-.f64 1 (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 3 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 3 (*.f64 x x))) (-.f64 (/.f64 -2 x) (/.f64 4 (pow.f64 x 3))))
(+.f64 (/.f64 3 (*.f64 x x)) (-.f64 (-.f64 1 (/.f64 2 x)) (/.f64 4 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 3 x) x) (-.f64 (-.f64 1 (/.f64 2 x)) (/.f64 4 (pow.f64 x 3))))
1
(+.f64 1 (*.f64 4 x))
(fma.f64 4 x 1)
(+.f64 1 (+.f64 (*.f64 8 (pow.f64 x 2)) (*.f64 4 x)))
(+.f64 1 (fma.f64 8 (*.f64 x x) (*.f64 4 x)))
(+.f64 (fma.f64 4 x 1) (*.f64 x (*.f64 x 8)))
(fma.f64 x (*.f64 x 8) (fma.f64 4 x 1))
(+.f64 1 (+.f64 (*.f64 8 (pow.f64 x 2)) (+.f64 (*.f64 4 x) (*.f64 12 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 8 (*.f64 x x) (fma.f64 4 x (*.f64 (pow.f64 x 3) 12))))
(+.f64 1 (fma.f64 (*.f64 x x) 8 (fma.f64 4 x (*.f64 (pow.f64 x 3) 12))))
(+.f64 1 (fma.f64 4 x (*.f64 (*.f64 x x) (+.f64 8 (*.f64 x 12)))))
(+.f64 1 (*.f64 x (+.f64 4 (*.f64 x (+.f64 8 (*.f64 x 12))))))
1
(+.f64 1 (*.f64 4 (/.f64 1 x)))
(+.f64 1 (/.f64 4 x))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 4 x) (/.f64 8 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 4 x) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 4 x)) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 12 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 12 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 4 (/.f64 1 x)))
(+.f64 1 (/.f64 4 x))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 4 x) (/.f64 8 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 4 x) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 4 x)) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 12 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 12 (pow.f64 x 3)))))

prune204.0ms (6.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1750175
Fresh022
Picked011
Done000
Total1753178
Error
0.0b
Counts
178 → 3
Alt Table
StatusErrorProgram
✓29.1b
(fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
32.7b
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
▶31.2b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
Compiler

Compiled 9913 to 7535 computations (24% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (pow.f64 x 3))
✓6.0b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))

series4.0ms (0.1%)

Counts
2 → 18
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 x (pow.f64 x 3))
1.0ms
x
@inf
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
1.0ms
x
@-inf
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
0.0ms
x
@0
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
0.0ms
x
@inf
(+.f64 x (pow.f64 x 3))

rewrite45.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
814×pow1_binary64
760×log1p-expm1-u_binary64
760×expm1-log1p-u_binary64
81×add-sqr-sqrt_binary64
76×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
117122
2206322
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(+.f64 x (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (*.f64 3 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) 1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 2) (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) (sqrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) 3) (pow.f64 (fma.f64 x x 1) 3)) (+.f64 (*.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (*.f64 3 (+.f64 x (pow.f64 x 3)))) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (*.f64 3 (+.f64 x (pow.f64 x 3)))) (pow.f64 (fma.f64 x x 1) 2)) (-.f64 (*.f64 3 (+.f64 x (pow.f64 x 3))) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (pow.f64 x 3))) (/.f64 (pow.f64 x 6) (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (hypot.f64 (sqrt.f64 x) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (/.f64 1 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (+.f64 (pow.f64 x 3) (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (-.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (-.f64 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 x) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (pow.f64 x 3))))))))

simplify55.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
501×fma-def_binary64
384×associate-*l*_binary64
356×*-commutative_binary64
292×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
017180
146161
2112153
3282153
4718140
52162140
63886140
74154140
84481140
95000140
Stop Event
1×node limit
Counts
80 → 78
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(*.f64 3 (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (*.f64 3 (pow.f64 x 3)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(*.f64 3 (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (*.f64 3 (pow.f64 x 3)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
x
(+.f64 (pow.f64 x 3) x)
(+.f64 (pow.f64 x 3) x)
(+.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(pow.f64 x 3)
Outputs
1
(+.f64 1 (*.f64 3 x))
(fma.f64 3 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 x))
(+.f64 1 (*.f64 x (+.f64 3 x)))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 x (fma.f64 3 (*.f64 x x) (+.f64 3 x)) 1)
(*.f64 (fma.f64 x x 1) (fma.f64 3 x 1))
(*.f64 3 (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (*.f64 3 (pow.f64 x 3)))
(+.f64 (*.f64 x x) (*.f64 3 (pow.f64 x 3)))
(fma.f64 3 (pow.f64 x 3) (*.f64 x x))
(*.f64 (fma.f64 3 x 1) (*.f64 x x))
(*.f64 x (fma.f64 3 (*.f64 x x) x))
(*.f64 (*.f64 x x) (fma.f64 3 x 1))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))
(+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3))))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(fma.f64 x x (*.f64 3 (+.f64 x (pow.f64 x 3))))
(*.f64 x (fma.f64 3 (*.f64 x x) (+.f64 3 x)))
(*.f64 x (fma.f64 3 (fma.f64 x x 1) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 x (fma.f64 3 (*.f64 x x) (+.f64 3 x)) 1)
(*.f64 (fma.f64 x x 1) (fma.f64 3 x 1))
(*.f64 3 (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (*.f64 3 (pow.f64 x 3)))
(+.f64 (*.f64 x x) (*.f64 3 (pow.f64 x 3)))
(fma.f64 3 (pow.f64 x 3) (*.f64 x x))
(*.f64 (fma.f64 3 x 1) (*.f64 x x))
(*.f64 x (fma.f64 3 (*.f64 x x) x))
(*.f64 (*.f64 x x) (fma.f64 3 x 1))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))
(+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3))))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(fma.f64 x x (*.f64 3 (+.f64 x (pow.f64 x 3))))
(*.f64 x (fma.f64 3 (*.f64 x x) (+.f64 3 x)))
(*.f64 x (fma.f64 3 (fma.f64 x x 1) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 x (fma.f64 3 (*.f64 x x) (+.f64 3 x)) 1)
(*.f64 (fma.f64 x x 1) (fma.f64 3 x 1))
x
(+.f64 (pow.f64 x 3) x)
(+.f64 x (pow.f64 x 3))
(+.f64 (pow.f64 x 3) x)
(+.f64 x (pow.f64 x 3))
(+.f64 (pow.f64 x 3) x)
(+.f64 x (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)

prune59.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done011
Total78381
Error
0.0b
Counts
81 → 3
Alt Table
StatusErrorProgram
✓29.1b
(fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
▶32.7b
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
✓31.2b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
Compiler

Compiled 1300 to 889 computations (31.6% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 3 (pow.f64 x 3))
✓0.6b
(/.f64 -1 (pow.f64 x 4))
✓7.2b
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
✓11.5b
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))

series6.0ms (0.2%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
1.0ms
x
@0
(/.f64 -1 (pow.f64 x 4))
1.0ms
x
@0
(/.f64 3 (pow.f64 x 3))
0.0ms
x
@0
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
0.0ms
x
@inf
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))

rewrite75.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
263×log1p-udef_binary64
156×add-sqr-sqrt_binary64
152×pow1_binary64
150×*-un-lft-identity_binary64
150×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01355
131949
2482449
Stop Event
1×node limit
Counts
4 → 162
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(/.f64 -1 (pow.f64 x 4))
(/.f64 3 (pow.f64 x 3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 3) x) (pow.f64 (/.f64 (cbrt.f64 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 3) x) 2) (/.f64 (cbrt.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (pow.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (pow.f64 x -3))))))))

simplify25.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
575×times-frac_binary64
381×associate-/l/_binary64
329×associate-*l*_binary64
304×associate-*l/_binary64
281×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024420
159384
2150384
3407384
41290372
Stop Event
1×node limit
Counts
186 → 172
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 4))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1 (pow.f64 x 4))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))

prune149.0ms (4.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1720172
Fresh000
Picked011
Done022
Total1723175
Error
0.0b
Counts
175 → 3
Alt Table
StatusErrorProgram
✓29.1b
(fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
✓32.7b
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
✓31.2b
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
Compiler

Compiled 5136 to 4037 computations (21.4% saved)

regimes283.0ms (8.7%)

Accuracy

Total 0.0b remaining (25%)

Threshold costs 0.0b (25%)

Counts
124 → 3
Compiler

Compiled 2413 to 1781 computations (26.2% saved)

bsearch40.0ms (1.2%)

Algorithm
2×binary-search
Calls

2 calls:

24.0ms
x
15.0ms
x
Steps
ItersPointRange
2800.0
∈ [
775.5937665994578
, 
10074815.476959266
]
-2800.0
∈ [
-26506.444470690287
, 
-1.0691927241718999e-10
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
11×+-commutative_binary64
6×sub-neg_binary64
4×*-commutative_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038140
156140
268140
374140
476140
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -2800) (+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (neg.f64 (pow.f64 x -4)))) (if (<=.f64 x 2800) (fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (neg.f64 (pow.f64 x -4))))))
Outputs
(if (<=.f64 x -2800) (+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (neg.f64 (pow.f64 x -4)))) (if (<=.f64 x 2800) (fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (neg.f64 (pow.f64 x -4))))))
(if (<=.f64 x -2800) (+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (pow.f64 x -4))) (if (<=.f64 x 2800) (fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (pow.f64 x -4)))))
(if (<=.f64 x -2800) (+.f64 (/.f64 -3 x) (-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (pow.f64 x -4))) (if (<=.f64 x 2800) (fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 (/.f64 -3 x) (-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (pow.f64 x -4)))))

end141.0ms (4.3%)

Stop Event
1×done
Compiler

Compiled 277 to 208 computations (24.9% saved)

Profiling

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