Details

Time bar (total: 3.1s)

analyze7.0ms (0.2%)

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

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (47.5%)

Results
619.0ms2077×body1024valid
416.0ms4486×body128valid
218.0ms974×body512valid
92.0ms231×body2048valid
91.0ms488×body256valid
Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess70.0ms (2.3%)

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)

simplify61.0ms (2%)

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
30.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶30.4b
(-.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))
✓2.6b
(-.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))

rewrite82.0ms (2.7%)

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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simplify31.0ms (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)))))

prune189.0ms (6.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2464250
Fresh000
Picked101
Done000
Total2474251
Error
0.0b
Counts
251 → 4
Alt Table
StatusErrorProgram
▶30.0b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
31.2b
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x))
31.4b
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
30.4b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))
Compiler

Compiled 6116 to 4505 computations (26.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
✓0.0b
(/.f64 (+.f64 x 1) x)
✓0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))
✓2.3b
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))

series7.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
1.0ms
x
@0
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))
0.0ms
x
@-inf
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))
0.0ms
x
@-inf
(/.f64 (+.f64 x 1) x)
0.0ms
x
@inf
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))

rewrite90.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
228×log1p-udef_binary64
142×add-sqr-sqrt_binary64
139×*-un-lft-identity_binary64
139×pow1_binary64
133×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01173
127159
2471859
Stop Event
1×node limit
Counts
4 → 177
Calls
Call 1
Inputs
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))
(/.f64 (+.f64 x 1) x)
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (fma.f64 (/.f64 (+.f64 -1 (neg.f64 x)) x) (+.f64 x 1) (/.f64 (pow.f64 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1) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))) 2) (cbrt.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))) (sqrt.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) (+.f64 x (+.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify33.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
532×times-frac_binary64
434×cancel-sign-sub-inv_binary64
372×fma-def_binary64
301×associate-/l/_binary64
201×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041429
1112392
2299388
3841388
42456385
Stop Event
1×node limit
Counts
225 → 204
Calls
Call 1
Inputs
(/.f64 -1 x)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(/.f64 1 x)
(+.f64 2 (/.f64 1 x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
x
(+.f64 2 x)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
x
(+.f64 2 x)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
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))))))
Outputs
(/.f64 -1 x)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(/.f64 1 x)
(+.f64 2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (*.f64 x 3))
(fma.f64 x 3 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x 3))
(+.f64 1 (*.f64 x (+.f64 3 x)))
(fma.f64 x (+.f64 x 3) 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 x x (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(fma.f64 x (+.f64 x 3) (fma.f64 3 (pow.f64 x 3) 1))
(fma.f64 x (+.f64 3 (fma.f64 3 (*.f64 x x) x)) 1)
(*.f64 (fma.f64 x 3 1) (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)))
(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 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 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 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 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 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)))
(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 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 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 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 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))

prune173.0ms (5.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2402242
Fresh213
Picked101
Done000
Total2433246
Error
0b
Counts
246 → 3
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
31.5b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (/.f64 (fma.f64 x x -1) x)) 3))
30.4b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))
Compiler

Compiled 6744 to 4836 computations (28.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
0.0b
(/.f64 (+.f64 x 1) x)
✓0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite103.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
568×prod-diff_binary64
146×add-sqr-sqrt_binary64
141×*-un-lft-identity_binary64
141×pow1_binary64
140×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01235
128625
2443425
Stop Event
1×node limit
Counts
2 → 188
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
Outputs
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simplify28.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
532×times-frac_binary64
459×cancel-sign-sub-inv_binary64
369×fma-def_binary64
300×associate-/l/_binary64
199×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035261
196242
2271238
3813238
42415235
Stop Event
1×node limit
Counts
212 → 206
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))))))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
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 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1))
(*.f64 (fma.f64 x x 1) (fma.f64 3 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 -1 (*.f64 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 -1 (*.f64 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 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.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 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 -1 (*.f64 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 -1 (*.f64 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 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))

prune238.0ms (7.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2422244
Fresh202
Picked101
Done000
Total2452247
Error
0b
Counts
247 → 2
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)))
▶0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
Compiler

Compiled 9743 to 6780 computations (30.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 1 x))
✓0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))

series2.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
0.0ms
x
@-inf
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
0.0ms
x
@inf
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
0.0ms
x
@0
(-.f64 x (/.f64 1 x))
0.0ms
x
@-inf
(-.f64 x (/.f64 1 x))

rewrite94.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
469×prod-diff_binary64
218×fma-def_binary64
172×log-div_binary64
169×expm1-udef_binary64
169×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
118923
2276823
Stop Event
1×node limit
Counts
2 → 217
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(-.f64 x (/.f64 1 x))
Outputs
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((x log.f64 (exp.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (/.f64 1 (exp.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 1 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 -1 x)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 -1 x)) 1 (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 -1 x)) 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 -1 x)) 1 (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (neg.f64 (/.f64 1 (cbrt.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 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x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x))) (cbrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) x)))))

simplify30.0ms (1%)

Algorithm
1×egg-herbie
Rules
533×times-frac_binary64
421×cancel-sign-sub-inv_binary64
372×fma-def_binary64
298×associate-/l/_binary64
195×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034198
193179
2266175
3803175
42406172
Stop Event
1×node limit
Counts
232 → 233
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))))))
(/.f64 -1 x)
x
x
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 x x (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(fma.f64 x (+.f64 3 x) (fma.f64 3 (pow.f64 x 3) 1))
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1))
(*.f64 (fma.f64 x x 1) (fma.f64 3 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 (/.f64 1 x) x))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 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 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.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 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (+.f64 (/.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 (/.f64 1 x) x))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 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 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.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 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 -1 x)
x
x

prune211.0ms (6.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2330233
Fresh011
Picked011
Done000
Total2332235
Error
0b
Counts
235 → 2
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)))
✓0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
Compiler

Compiled 8840 to 6475 computations (26.8% saved)

regimes73.0ms (2.4%)

Accuracy

Total 0.0b remaining (23%)

Threshold costs 0.0b (23%)

Counts
63 → 1
Compiler

Compiled 1174 to 847 computations (27.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
3×sub-neg_binary64
1×*-commutative_binary64
1×distribute-neg-frac_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11316
22016
32216
42316
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x)))

end44.0ms (1.4%)

Stop Event
1×fuel
Compiler

Compiled 52 to 39 computations (25% saved)

Profiling

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