Details

Time bar (total: 3.3s)

analyze8.0ms (0.2%)

Algorithm
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 (46.3%)

Results
657.0ms2085×body1024valid
433.0ms4391×body128valid
252.0ms1035×body512valid
94.0ms519×body256valid
86.0ms226×body2048valid

preprocess71.0ms (2.1%)

Algorithm
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
saturated
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)

simplify62.0ms (1.9%)

Algorithm
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
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
27.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
27.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 55 to 39 computations (29.1% saved)

localize8.0ms (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))
2.2b
(-.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))

rewrite75.0ms (2.3%)

Algorithm
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
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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simplify44.0ms (1.3%)

Algorithm
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
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)))))

prune320.0ms (9.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2455250
Fresh000
Picked101
Done000
Total2465251
Error
0b
Counts
251 → 5
Alt Table
StatusErrorProgram
33.5b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
33.9b
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
30.2b
(fma.f64 3 x 1)
61.8b
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
27.9b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
Compiler

Compiled 6214 to 4577 computations (26.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x -1) (+.f64 x 1))
0.0b
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))
0.0b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
2.2b
(fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite68.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
390×prod-diff_binary64
188×expm1-udef_binary64
188×log1p-udef_binary64
125×add-sqr-sqrt_binary64
122×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01180
124456
2371756
Stop Event
node limit
Counts
4 → 156
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))
(/.f64 (+.f64 x -1) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 x -1) (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) 1) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 2) (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) (sqrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) 3) (pow.f64 (fma.f64 -1 x -1) 3)) (+.f64 (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)))) (-.f64 (pow.f64 (fma.f64 -1 x -1) 2) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (fma.f64 -1 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)))) (pow.f64 (fma.f64 -1 x -1) 2)) (-.f64 (*.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1))) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 x)) 1))))))

simplify42.0ms (1.3%)

Algorithm
egg-herbie
Rules
397×sub-neg_binary64
343×fma-neg_binary64
283×fma-def_binary64
218×associate-*l*_binary64
169×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064503
1205479
2595477
31698475
44404475
Stop Event
node limit
Counts
204 → 197
Calls
Call 1
Inputs
-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)
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
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 x 1)
(-.f64 x 1)
(-.f64 x 1)
x
(-.f64 x 1)
(-.f64 x 1)
(-.f64 x 1)
x
(-.f64 x 1)
(-.f64 x 1)
(-.f64 x 1)
-1
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1)
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
Outputs
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(+.f64 (*.f64 2 (*.f64 x x)) (fma.f64 -2 x -1))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x -1))
(fma.f64 -2 x (fma.f64 x (*.f64 x 2) -1))
(fma.f64 x (+.f64 -2 (*.f64 x 2)) -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)
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) -1))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x 2) -1))
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(+.f64 (/.f64 2 x) -3)
(+.f64 -3 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) -3) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -3 (/.f64 2 (*.f64 x x))))
(+.f64 -3 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 -3 (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 3 (/.f64 2 (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -3 (/.f64 2 x))) (/.f64 2 (*.f64 x x)))
(+.f64 -3 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 -2 (*.f64 x x)) (-.f64 3 (/.f64 2 (pow.f64 x 3)))))
(+.f64 -3 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 -2 (*.f64 x x))))
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(+.f64 (/.f64 2 x) -3)
(+.f64 -3 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) -3) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -3 (/.f64 2 (*.f64 x x))))
(+.f64 -3 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 -3 (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 3 (/.f64 2 (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -3 (/.f64 2 x))) (/.f64 2 (*.f64 x x)))
(+.f64 -3 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 -2 (*.f64 x x)) (-.f64 3 (/.f64 2 (pow.f64 x 3)))))
(+.f64 -3 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 -2 (*.f64 x 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)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 x 3 (fma.f64 x x 1))
(fma.f64 x x (fma.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))
(/.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)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.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 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 -1 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 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)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.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 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x 1)
(+.f64 x -1)
-1
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -1)
(fma.f64 x 2 (fma.f64 -2 (*.f64 x x) -1))
(fma.f64 -2 (*.f64 x x) (fma.f64 x 2 -1))
(fma.f64 x (+.f64 (*.f64 -2 x) 2) -1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (*.f64 x x)))) -1)
(fma.f64 2 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 -2 (*.f64 x x) -1)))
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (fma.f64 -2 (*.f64 x x) -1))
(fma.f64 2 (pow.f64 x 3) (fma.f64 x (+.f64 (*.f64 -2 x) 2) -1))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (+.f64 1 (/.f64 -2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) -1) (/.f64 -2 (*.f64 x x))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (+.f64 1 (/.f64 -2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) -1) (/.f64 -2 (*.f64 x x))))

prune258.0ms (7.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2431244
Fresh134
Picked011
Done000
Total2445249
Error
0b
Counts
249 → 5
Alt Table
StatusErrorProgram
33.5b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
30.4b
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
33.9b
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
61.8b
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
27.9b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
Compiler

Compiled 6874 to 5072 computations (26.2% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
0.1b
(*.f64 3 (pow.f64 x 3))
6.3b
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))

series5.0ms (0.1%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))
1.0ms
x
@inf
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))
1.0ms
x
@0
(*.f64 3 (pow.f64 x 3))
0.0ms
x
@0
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))
0.0ms
x
@inf
(*.f64 3 (pow.f64 x 3))

rewrite73.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
828×fma-def_binary64
408×fma-neg_binary64
217×expm1-udef_binary64
217×log1p-udef_binary64
134×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01239
127935
2374134
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))
(*.f64 3 (pow.f64 x 3))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 9 (pow.f64 x 6)) (-.f64 (*.f64 3 (pow.f64 x 3)) (fma.f64 x x 1))) (/.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 3 (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) 2) (cbrt.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) (sqrt.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (fma.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (*.f64 3 (pow.f64 x 3))) (*.f64 9 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 9 (pow.f64 x 6)) (pow.f64 (fma.f64 x x 1) 2)) (/.f64 1 (-.f64 (*.f64 3 (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (*.f64 3 (pow.f64 x 3))) (*.f64 9 (pow.f64 x 6))) (fma.f64 27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (fma.f64 x x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 3 (pow.f64 x 3)) (fma.f64 x x 1)) (-.f64 (*.f64 9 (pow.f64 x 6)) (pow.f64 (fma.f64 x x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (fma.f64 x x 1) 3)) (fma.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (*.f64 3 (pow.f64 x 3))) (*.f64 9 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (fma.f64 x x 1) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 9 (pow.f64 x 6)) (*.f64 (*.f64 3 (pow.f64 x 3)) (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (pow.f64 x 6)) (pow.f64 (fma.f64 x x 1) 2)) (-.f64 (*.f64 3 (pow.f64 x 3)) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (fma.f64 x x 1) 3))) (neg.f64 (fma.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) (*.f64 3 (pow.f64 x 3))) (*.f64 9 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 9 (pow.f64 x 6)) (pow.f64 (fma.f64 x x 1) 2))) (neg.f64 (-.f64 (*.f64 3 (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 3 (pow.f64 x 3) 1) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 3 (pow.f64 x 3) 1) (fma.f64 3 (pow.f64 x 3) 1) (-.f64 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(fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (fma.f64 3 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) 3) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 3 (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 x 3)) 1 (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (pow.f64 x 3)) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (fma.f64 3 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x x 1) (*.f64 3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3 (pow.f64 x 3) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (fma.f64 3 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 3 x) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x 1) 1 (*.f64 3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) (*.f64 x x) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4)) (fma.f64 3 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x) (fma.f64 3 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (fma.f64 3 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 3)) (pow.f64 (*.f64 x (cbrt.f64 3)) 2) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 3)) 2) (*.f64 x (cbrt.f64 3)) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (*.f64 3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) (*.f64 3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 3) (pow.f64 x 3/2)) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (*.f64 3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 3 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x x -1) 1)) (*.f64 3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 3 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 3) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3 (pow.f64 x 3) 1) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 3 (pow.f64 x 3) 1)) (cbrt.f64 (fma.f64 3 (pow.f64 x 3) 1))) (cbrt.f64 (fma.f64 3 (pow.f64 x 3) 1)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 3 (pow.f64 x 3) 1)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 3 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x x)) x (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 3 (pow.f64 x 3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 3 (pow.f64 x 3) 1)) (cbrt.f64 (fma.f64 3 (pow.f64 x 3) 1))) (cbrt.f64 (fma.f64 3 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 3 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 3)) 1))))))
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x x)) x (+.f64 (fma.f64 x x 1) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 (fma.f64 x x 1) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))) 1))))))

simplify56.0ms (1.7%)

Algorithm
egg-herbie
Rules
536×unswap-sqr_binary64
392×associate-*l*_binary64
354×*-commutative_binary64
285×fma-def_binary64
283×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
014127
141123
285121
3202120
4526116
51858116
63590116
73874116
84180116
94722116
Stop Event
node limit
Counts
172 → 169
Calls
Call 1
Inputs
1
(+.f64 1 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2))
(*.f64 3 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2))
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(*.f64 3 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2)))
(*.f64 3 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2)))
Outputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(*.f64 3 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 3 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (*.f64 3 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 3) x))
(*.f64 x (*.f64 x (fma.f64 x 3 1)))
(*.f64 3 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 3 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (*.f64 3 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 3) x))
(*.f64 x (*.f64 x (fma.f64 x 3 1)))
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)))
(+.f64 (fma.f64 3 x 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 3 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 3 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (*.f64 3 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 3) x))
(*.f64 x (*.f64 x (fma.f64 x 3 1)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2)))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 x 3 (fma.f64 x x (*.f64 3 (pow.f64 x 3))))
(fma.f64 3 (pow.f64 x 3) (*.f64 x (+.f64 3 x)))
(*.f64 x (+.f64 (fma.f64 x (*.f64 x 3) x) 3))
(*.f64 x (fma.f64 (fma.f64 x x 1) 3 x))
(*.f64 3 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 3 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (*.f64 3 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 3) x))
(*.f64 x (*.f64 x (fma.f64 x 3 1)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (pow.f64 x 2)))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 x 3 (fma.f64 x x (*.f64 3 (pow.f64 x 3))))
(fma.f64 3 (pow.f64 x 3) (*.f64 x (+.f64 3 x)))
(*.f64 x (+.f64 (fma.f64 x (*.f64 x 3) x) 3))
(*.f64 x (fma.f64 (fma.f64 x x 1) 3 x))

prune162.0ms (4.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1690169
Fresh033
Picked011
Done011
Total1695174
Error
0b
Counts
174 → 5
Alt Table
StatusErrorProgram
33.5b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
30.4b
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
33.9b
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
61.8b
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
27.9b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
Compiler

Compiled 3604 to 2599 computations (27.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
0.3b
(/.f64 -1 (*.f64 x x))
0.6b
(/.f64 -3 (pow.f64 x 3))
6.2b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))

series6.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

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

rewrite77.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
239×expm1-udef_binary64
239×log1p-udef_binary64
144×add-sqr-sqrt_binary64
138×pow1_binary64
137×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01249
128842
2433942
Stop Event
node limit
Counts
4 → 168
Calls
Call 1
Inputs
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(/.f64 -3 (pow.f64 x 3))
(/.f64 -1 (*.f64 x x))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
Outputs
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exp.f64 (log.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))) 1))))))

simplify29.0ms (0.9%)

Algorithm
egg-herbie
Rules
562×times-frac_binary64
460×associate-/r*_binary64
430×associate-*l/_binary64
408×fma-def_binary64
363×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029441
182405
2193405
3456405
41377393
Stop Event
node limit
Counts
204 → 182
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (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 3 (/.f64 1 (pow.f64 x 3))) (+.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)))))
(/.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 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
Outputs
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(/.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(/.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))

prune132.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1820182
Fresh022
Picked011
Done022
Total1825187
Error
0b
Counts
187 → 5
Alt Table
StatusErrorProgram
33.5b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
30.4b
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
33.9b
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
61.8b
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
27.9b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1))))
Compiler

Compiled 4472 to 3280 computations (26.7% saved)

regimes73.0ms (2.2%)

Accuracy

Total -63.8b remaining (-64980%)

Threshold costs -63.8b (-64980%)

Counts
33 → 3
Compiler

Compiled 578 to 427 computations (26.1% saved)

bsearch58.0ms (1.7%)

Algorithm
binary-search
Calls

2 calls:

38.0ms
x
19.0ms
x
Steps
ItersPointRange
209.85361716255164
∈ [
209.85361716255164
,
23858968021145.05
]
-6176794.5564302765
∈ [
-6176794.5564302765
,
-2.3019298139734077
]
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02469
12869
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -26529130613978864/4294967296) (fma.f64 -1 (pow.f64 x -2) (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))) (if (<=.f64 x 3691783875217259/17592186044416) (fma.f64 x (/.f64 1 (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (fma.f64 -1 (pow.f64 x -2) (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)))))
Outputs
(if (<=.f64 x -26529130613978864/4294967296) (fma.f64 -1 (pow.f64 x -2) (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))) (if (<=.f64 x 3691783875217259/17592186044416) (fma.f64 x (/.f64 1 (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (fma.f64 -1 (pow.f64 x -2) (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)))))
(if (<=.f64 x -1658070663373679/268435456) (fma.f64 -1 (pow.f64 x -2) (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))) (if (<=.f64 x 3691783875217259/17592186044416) (fma.f64 x (/.f64 1 (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) (fma.f64 -1 (pow.f64 x -2) (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)))))

end113.0ms (3.4%)

Stop Event
fuel
Compiler

Compiled 215 to 163 computations (24.2% saved)

Profiling

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