Details

Time bar (total: 3.0s)

analyze8.0ms (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 (49.3%)

Results
638.0ms2036×body1024valid
433.0ms4461×body128valid
246.0ms1043×body512valid
86.0ms494×body256valid
85.0ms222×body2048valid

preprocess67.0ms (2.2%)

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
29.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶29.0b
(-.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 x (+.f64 x 1))
✓0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
✓3.6b
(-.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 x (+.f64 x 1))
0.0ms
x
@inf
(/.f64 (+.f64 x 1) (-.f64 x 1))

rewrite77.0ms (2.5%)

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 (+.f64 x 1) (-.f64 x 1))
(/.f64 x (+.f64 x 1))
Outputs
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simplify45.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
820×times-frac_binary64
343×fma-neg_binary64
321×fma-def_binary64
224×associate-*l*_binary64
185×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064466
1205439
2590432
31727429
44802429
Stop Event
1×node limit
Counts
246 → 250
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
-1
(-.f64 (*.f64 -2 x) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
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 2))) (*.f64 2 (/.f64 1 (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 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
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))))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))) (/.f64 3 (pow.f64 x 3))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))) (/.f64 3 (pow.f64 x 3))))
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(fma.f64 x -2 -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1)
(fma.f64 -2 (fma.f64 x x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1)
(fma.f64 -2 (+.f64 x (*.f64 x (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 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
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 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (-.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 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.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 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (+.f64 1 (/.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 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.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 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (+.f64 1 (/.f64 -1 (pow.f64 x 3)))))

prune319.0ms (10.5%)

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
32.5b
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
31.0b
(fma.f64 3 x (fma.f64 x x 1))
▶28.9b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
32.7b
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))) (/.f64 3 (pow.f64 x 3))))
Compiler

Compiled 6146 to 4525 computations (26.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) x)
✓0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
✓0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))
✓3.5b
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))

series6.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite92.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
507×fma-def_binary64
282×fma-neg_binary64
198×expm1-udef_binary64
198×log1p-udef_binary64
125×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
124041
2386441
Stop Event
1×node limit
Counts
4 → 312
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 (+.f64 x 1) x) (+.f64 x -1))
(/.f64 (+.f64 x 1) x)
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 (+.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 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 2) (/.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))) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 -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))) 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 (fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 2)) (/.f64 1 (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (+.f64 x 1) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (pow.f64 (+.f64 x -1) 2)) (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 2))))))) (#(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)) (fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (pow.f64 (+.f64 x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 2)) (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 3))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule 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simplify39.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
153×fma-neg_binary64
69×fma-def_binary64
37×cancel-sign-sub-inv_binary64
35×sub-neg_binary64
32×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017306
132288
250288
366288
483288
5117288
6168288
7248288
8343288
9458288
10608288
11691288
12731288
13736288
Stop Event
1×saturated
Counts
360 → 329
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 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))
(/.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))
Outputs
(/.f64 -1 x)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(/.f64 1 x)
(+.f64 2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 2)
(-.f64 2 (/.f64 -1 x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 (/.f64 1 x) 2) x)
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 (/.f64 1 x) (+.f64 x 2))
(+.f64 x (-.f64 2 (/.f64 -1 x)))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 (/.f64 1 x) 2) x)
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 (/.f64 1 x) (+.f64 x 2))
(+.f64 x (-.f64 2 (/.f64 -1 x)))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 (/.f64 1 x) 2) x)
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 (/.f64 1 x) (+.f64 x 2))
(+.f64 x (-.f64 2 (/.f64 -1 x)))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 (/.f64 1 x) 2) x)
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 (/.f64 1 x) (+.f64 x 2))
(+.f64 x (-.f64 2 (/.f64 -1 x)))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 (/.f64 1 x) 2) x)
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 (/.f64 1 x) (+.f64 x 2))
(+.f64 x (-.f64 2 (/.f64 -1 x)))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 (/.f64 1 x) 2) x)
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 (/.f64 1 x) (+.f64 x 2))
(+.f64 x (-.f64 2 (/.f64 -1 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))
(+.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))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 -1 x))
(+.f64 1 (/.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))
(-.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))
(-.f64 1 (/.f64 -1 x))
(+.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 -1 x))

prune313.0ms (10.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3671368
Fresh123
Picked011
Done000
Total3684372
Error
0b
Counts
372 → 4
Alt Table
StatusErrorProgram
32.5b
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
31.0b
(fma.f64 3 x (fma.f64 x x 1))
✓28.9b
(/.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 (/.f64 -1 x) -3) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
Compiler

Compiled 11533 to 8198 computations (28.9% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
527×prod-diff_binary64
144×add-sqr-sqrt_binary64
139×*-un-lft-identity_binary64
139×pow1_binary64
135×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01222
128317
2429117
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 -1 x) -3) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 x) -3) (*.f64 (/.f64 1 (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (*.f64 (/.f64 1 (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)) (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (*.f64 (/.f64 1 (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 1 (neg.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 (/.f64 -1 x) -3) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) x) (+.f64 (/.f64 -1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (/.f64 (+.f64 x 1) x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 (+.f64 x 1) x)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (+.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (+.f64 -1 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 2))) (/.f64 (+.f64 (/.f64 -1 x) -3) (cbrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 2))) (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 2))) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (cbrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (/.f64 (+.f64 (/.f64 -1 x) -3) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 x (+.f64 x 1))) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 x (+.f64 x 1))) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 (/.f64 -1 x) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (neg.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -1 x) -3) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)) 1))))))

simplify24.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
884×fma-neg_binary64
644×times-frac_binary64
412×cancel-sign-sub-inv_binary64
339×fma-def_binary64
187×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032187
198171
2285170
3842169
42503161
Stop Event
1×node limit
Counts
55 → 57
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(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 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))))
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))))
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))

prune163.0ms (5.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1781179
Fresh202
Picked011
Done011
Total1803183
Error
0b
Counts
183 → 3
Alt Table
StatusErrorProgram
✓28.9b
(/.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 (/.f64 -1 x) -3) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
▶12.6b
(/.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 (fma.f64 x x -1) x))
Compiler

Compiled 3692 to 2679 computations (27.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 (fma.f64 x x -1) x))
✓12.6b
(/.f64 (fma.f64 x x -1) x)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite50.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
514×log-prod_binary64
197×log-div_binary64
182×expm1-udef_binary64
182×log1p-udef_binary64
166×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
120425
2287325
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x -1) x)
(/.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 (fma.f64 x x -1) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1) x)) (sqrt.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x -1)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x x -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x x -1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 x (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 x (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 x (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 x (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 x (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 x (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))) 2) (cbrt.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))) (sqrt.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) (/.f64 1 (/.f64 (neg.f64 (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 (/.f64 -1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (fma.f64 x x -1)) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (fma.f64 x x -1)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 2)) (/.f64 (+.f64 (/.f64 -1 x) -3) (cbrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 2)) (cbrt.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (cbrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (/.f64 (+.f64 (/.f64 -1 x) -3) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) 1) (/.f64 x (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (neg.f64 (fma.f64 x x -1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) (*.f64 (+.f64 (/.f64 -1 x) -3) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 (neg.f64 (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -1 x) -3) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (+.f64 (/.f64 -1 x) -3) (fma.f64 x x -1)))) 1))))))

simplify26.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
919×fma-neg_binary64
653×times-frac_binary64
454×cancel-sign-sub-inv_binary64
341×fma-def_binary64
191×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035256
1102240
2291239
3854238
42531230
Stop Event
1×node limit
Counts
106 → 100
Calls
Call 1
Inputs
(/.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))
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
Outputs
(/.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))
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(fma.f64 x 3 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(fma.f64 3 x (+.f64 1 (*.f64 x x)))
(fma.f64 x 3 (fma.f64 x x 1))
(fma.f64 x x (fma.f64 x 3 1))
(fma.f64 x (+.f64 x 3) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 x (+.f64 x 3) (fma.f64 3 (pow.f64 x 3) 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))

prune71.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done022
Total1003103
Error
0b
Counts
103 → 3
Alt Table
StatusErrorProgram
✓28.9b
(/.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 (/.f64 -1 x) -3) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
✓12.6b
(/.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 (fma.f64 x x -1) x))
Compiler

Compiled 1774 to 1287 computations (27.5% saved)

regimes53.0ms (1.7%)

Accuracy

Total -63.6b remaining (-814446%)

Threshold costs -63.6b (-814446%)

Counts
39 → 1
Compiler

Compiled 598 to 435 computations (27.3% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11516
22016
32316
42416
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 -1 x) -3) (-.f64 x (/.f64 1 x)))
Outputs
(/.f64 (+.f64 (/.f64 -1 x) -3) (-.f64 x (/.f64 1 x)))
(/.f64 (+.f64 (/.f64 -1 x) -3) (+.f64 x (/.f64 -1 x)))

end28.0ms (0.9%)

Stop Event
1×done
Compiler

Compiled 24 to 18 computations (25% saved)

Profiling

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