Details

Time bar (total: 6.7s)

analyze6.0ms (0.1%)

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
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.8s (26.4%)

Results
764.0ms2035×body1024valid
437.0ms4247×body64valid
302.0ms981×body512valid
132.0ms540×body256valid
94.0ms202×body2048valid
39.0ms251×body128valid

preprocess68.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 10 computations (28.6% saved)

simplify61.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
30.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶30.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 55 to 39 computations (29.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite93.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
510×log-prod_binary64
470×fma-def_binary64
389×pow-prod-down_binary64
286×fma-neg_binary64
267×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
119536
2322236
Stop Event
1×node limit
Counts
3 → 225
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 x (+.f64 x 1))
(/.f64 (+.f64 x 1) (-.f64 x 1))
Outputs
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simplify47.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
820×times-frac_binary64
424×sub-neg_binary64
343×fma-neg_binary64
319×fma-def_binary64
255×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
064466
1205439
2590432
31723429
44799425
Stop Event
1×node limit
Counts
261 → 265
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))))))
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))))
-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))))))
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 (fma.f64 x x 1) (fma.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))
(+.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 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
(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 (+.f64 (/.f64 -1 (*.f64 x x)) (/.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 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) 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)))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
(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 (+.f64 (/.f64 -1 (*.f64 x x)) (/.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 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4)))))
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 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) (+.f64 x -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 (fma.f64 (*.f64 x x) (+.f64 x -1) x) (pow.f64 x 4))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
(*.f64 (-.f64 1 x) (+.f64 x (pow.f64 x 3)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 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 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 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 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))))
-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)))))
(+.f64 (+.f64 1 (/.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)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))

prune997.0ms (14.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2605265
Fresh000
Picked101
Done000
Total2615266
Error
0.0b
Counts
266 → 5
Alt Table
StatusErrorProgram
31.5b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
33.0b
(fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
▶29.8b
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
30.9b
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
31.9b
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
Compiler

Compiled 6580 to 4851 computations (26.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
✓0.1b
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1))
✓0.2b
(/.f64 (/.f64 -1 x) x)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (/.f64 -1 x) x)
1.0ms
x
@inf
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1))
1.0ms
x
@0
(/.f64 (/.f64 -1 x) x)
1.0ms
x
@0
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1))
1.0ms
x
@-inf
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1))

rewrite101.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
616×log-prod_binary64
574×fma-def_binary64
337×log-div_binary64
321×fma-neg_binary64
221×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01345
129442
2433042
Stop Event
1×node limit
Counts
3 → 244
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 x) x)
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1))
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
Outputs
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(cbrt.f64 (/.f64 9 (*.f64 x x))) (/.f64 (/.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 3 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 1 (/.f64 3 x))) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 3 x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 3 x))) (/.f64 -1 (*.f64 x x))) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (+.f64 1 (/.f64 3 x)))) (*.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (+.f64 1 (/.f64 3 x)))) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 x)) (sqrt.f64 (/.f64 3 x)) (/.f64 (/.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 x)) (*.f64 (sqrt.f64 (/.f64 3 x)) 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((x fma.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (/.f64 (+.f64 1 (/.f64 3 x)) (sqrt.f64 x)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 -1 x) 1) (/.f64 (+.f64 1 (/.f64 3 x)) x) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (/.f64 3 x)) (cbrt.f64 x)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (*.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 3 x) (/.f64 -1 x)) (/.f64 1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 3) (/.f64 1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cbrt.f64 (/.f64 9 (*.f64 x x)))) (cbrt.f64 (/.f64 3 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (sqrt.f64 (/.f64 3 x))) (sqrt.f64 (/.f64 3 x)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 3 x) (cbrt.f64 (/.f64 (/.f64 1 x) (pow.f64 x 3)))) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 3 x) (/.f64 (sqrt.f64 -1) x)) (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 3 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 3 x))) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (sqrt.f64 (+.f64 1 (/.f64 3 x)))) (sqrt.f64 (+.f64 1 (/.f64 3 x))) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (cbrt.f64 (/.f64 (/.f64 1 x) (pow.f64 x 3)))) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (/.f64 (sqrt.f64 -1) x)) (/.f64 (sqrt.f64 -1) x) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)) (/.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)) (/.f64 3 x))))))))

simplify51.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
562×times-frac_binary64
536×unswap-sqr_binary64
462×associate-/r*_binary64
443×associate-*l/_binary64
416×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025474
166438
2162438
3435438
41391390
56486390
Stop Event
1×node limit
Counts
280 → 255
Calls
Call 1
Inputs
(/.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 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (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 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (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 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (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 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.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)))))
Outputs
(/.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 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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(/.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 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x 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 (/.f64 -1 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 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1)) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x 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 (/.f64 -1 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 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1)) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x 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 (/.f64 -1 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 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 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1)) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 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 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1)) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x 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 (/.f64 -1 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 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 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1)) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 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 (*.f64 x x)) (+.f64 (/.f64 -3 x) -1)) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))

prune590.0ms (8.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2550255
Fresh044
Picked011
Done000
Total2555260
Error
0.0b
Counts
260 → 5
Alt Table
StatusErrorProgram
31.5b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
33.0b
(fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
✓29.8b
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
▶30.9b
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
31.9b
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
Compiler

Compiled 5745 to 4009 computations (30.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)
✓0.0b
(pow.f64 (/.f64 x (+.f64 x 1)) 2)
✓0.0b
(pow.f64 (/.f64 x (+.f64 x 1)) 3)
✓2.5b
(+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3))

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite97.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
739×log-prod_binary64
608×fma-def_binary64
376×fma-neg_binary64
262×expm1-udef_binary64
262×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
135560
2487860
Stop Event
1×node limit
Counts
4 → 190
Calls
Call 1
Inputs
(+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3))
(pow.f64 (/.f64 x (+.f64 x 1)) 3)
(pow.f64 (/.f64 x (+.f64 x 1)) 2)
(pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)
Outputs
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simplify62.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
528×associate-*l*_binary64
491×sub-neg_binary64
460×fma-def_binary64
393×associate-*r*_binary64
363×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0102658
1316626
2910624
32801623
47438623
Stop Event
1×node limit
Counts
238 → 240
Calls
Call 1
Inputs
1
(+.f64 (*.f64 6 x) 1)
(+.f64 (*.f64 6 x) (+.f64 1 (*.f64 18 (pow.f64 x 2))))
(+.f64 (*.f64 6 x) (+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (*.f64 39 (pow.f64 x 3)))))
(/.f64 -9 x)
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 9 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 48 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 51 (/.f64 1 (pow.f64 x 4))) (*.f64 48 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -9 x)
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 9 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 48 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 51 (/.f64 1 (pow.f64 x 4))) (*.f64 48 (/.f64 1 (pow.f64 x 3)))))))
(pow.f64 x 3)
(+.f64 (*.f64 -3 (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (*.f64 -3 (pow.f64 x 4)) (+.f64 (*.f64 6 (pow.f64 x 5)) (pow.f64 x 3)))
(+.f64 (*.f64 -3 (pow.f64 x 4)) (+.f64 (*.f64 6 (pow.f64 x 5)) (+.f64 (*.f64 -10 (pow.f64 x 6)) (pow.f64 x 3))))
1
(-.f64 1 (*.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 10 (/.f64 1 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 10 (/.f64 1 (pow.f64 x 3)))))
(pow.f64 x 2)
(+.f64 (*.f64 -2 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 -4 (pow.f64 x 5)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
1
(+.f64 (*.f64 6 x) 1)
(+.f64 (*.f64 6 x) (+.f64 1 (*.f64 18 (pow.f64 x 2))))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 38 (pow.f64 x 3)) (+.f64 1 (*.f64 18 (pow.f64 x 2)))))
-1
(neg.f64 (+.f64 1 (*.f64 6 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) 1)))
(neg.f64 (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 38 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 (/.f64 1 x)) 1))))
-1
(neg.f64 (+.f64 1 (*.f64 6 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) 1)))
(neg.f64 (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 38 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 (/.f64 1 x)) 1))))
Outputs
1
(+.f64 (*.f64 6 x) 1)
(fma.f64 6 x 1)
(+.f64 (*.f64 6 x) (+.f64 1 (*.f64 18 (pow.f64 x 2))))
(+.f64 (fma.f64 6 x 1) (*.f64 18 (*.f64 x x)))
(fma.f64 6 x (fma.f64 18 (*.f64 x x) 1))
(fma.f64 6 x (fma.f64 x (*.f64 x 18) 1))
(+.f64 (*.f64 6 x) (+.f64 1 (+.f64 (*.f64 18 (pow.f64 x 2)) (*.f64 39 (pow.f64 x 3)))))
(+.f64 (fma.f64 6 x 1) (fma.f64 18 (*.f64 x x) (*.f64 39 (pow.f64 x 3))))
(+.f64 (fma.f64 18 (*.f64 x x) (*.f64 39 (pow.f64 x 3))) (fma.f64 6 x 1))
(fma.f64 6 x (fma.f64 39 (pow.f64 x 3) (fma.f64 x (*.f64 x 18) 1)))
(fma.f64 6 x (fma.f64 x (*.f64 x 18) (fma.f64 39 (pow.f64 x 3) 1)))
(/.f64 -9 x)
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 9 x)))
(+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -9 x))
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 48 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 9 x) (/.f64 48 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -9 x)) (/.f64 48 (pow.f64 x 3)))
(+.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 -9 x) (/.f64 -48 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 51 (/.f64 1 (pow.f64 x 4))) (*.f64 48 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 9 x) (+.f64 (/.f64 48 (pow.f64 x 3)) (/.f64 51 (pow.f64 x 4))))))
(-.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 9 x) (+.f64 (/.f64 48 (pow.f64 x 3)) (/.f64 51 (pow.f64 x 4)))))
(+.f64 (/.f64 -9 x) (-.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 48 (pow.f64 x 3)) (/.f64 51 (pow.f64 x 4)))))
(+.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 -9 x) (+.f64 (/.f64 -48 (pow.f64 x 3)) (/.f64 -51 (pow.f64 x 4)))))
(/.f64 -9 x)
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 9 x)))
(+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -9 x))
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9 (/.f64 1 x)) (*.f64 48 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 9 x) (/.f64 48 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -9 x)) (/.f64 48 (pow.f64 x 3)))
(+.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 -9 x) (/.f64 -48 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 9 (/.f64 1 x)) (+.f64 (*.f64 51 (/.f64 1 (pow.f64 x 4))) (*.f64 48 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 9 x) (+.f64 (/.f64 48 (pow.f64 x 3)) (/.f64 51 (pow.f64 x 4))))))
(-.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 9 x) (+.f64 (/.f64 48 (pow.f64 x 3)) (/.f64 51 (pow.f64 x 4)))))
(+.f64 (/.f64 -9 x) (-.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 48 (pow.f64 x 3)) (/.f64 51 (pow.f64 x 4)))))
(+.f64 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 -9 x) (+.f64 (/.f64 -48 (pow.f64 x 3)) (/.f64 -51 (pow.f64 x 4)))))
(pow.f64 x 3)
(+.f64 (*.f64 -3 (pow.f64 x 4)) (pow.f64 x 3))
(fma.f64 -3 (pow.f64 x 4) (pow.f64 x 3))
(fma.f64 (pow.f64 x 4) -3 (pow.f64 x 3))
(+.f64 (*.f64 -3 (pow.f64 x 4)) (+.f64 (*.f64 6 (pow.f64 x 5)) (pow.f64 x 3)))
(fma.f64 -3 (pow.f64 x 4) (fma.f64 6 (pow.f64 x 5) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 4) -3 (fma.f64 6 (pow.f64 x 5) (pow.f64 x 3)))
(fma.f64 6 (pow.f64 x 5) (fma.f64 (pow.f64 x 4) -3 (pow.f64 x 3)))
(+.f64 (*.f64 -3 (pow.f64 x 4)) (+.f64 (*.f64 6 (pow.f64 x 5)) (+.f64 (*.f64 -10 (pow.f64 x 6)) (pow.f64 x 3))))
(fma.f64 -3 (pow.f64 x 4) (fma.f64 6 (pow.f64 x 5) (fma.f64 -10 (pow.f64 x 6) (pow.f64 x 3))))
(fma.f64 (pow.f64 x 4) -3 (fma.f64 6 (pow.f64 x 5) (fma.f64 -10 (pow.f64 x 6) (pow.f64 x 3))))
(fma.f64 6 (pow.f64 x 5) (fma.f64 (pow.f64 x 4) -3 (fma.f64 -10 (pow.f64 x 6) (pow.f64 x 3))))
1
(-.f64 1 (*.f64 3 (/.f64 1 x)))
(-.f64 1 (/.f64 3 x))
(+.f64 1 (/.f64 -3 x))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 x x)) (/.f64 3 x)))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -3 x)))
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 1 (/.f64 -3 x)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 10 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 10 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -3 x)) (/.f64 10 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -10 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 10 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 3 (/.f64 1 x)))
(-.f64 1 (/.f64 3 x))
(+.f64 1 (/.f64 -3 x))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 x x)) (/.f64 3 x)))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -3 x)))
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 1 (/.f64 -3 x)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 10 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 10 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -3 x)) (/.f64 10 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -10 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 10 (pow.f64 x 3)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -2 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 -2 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 3) -2))
(fma.f64 (pow.f64 x 3) -2 (*.f64 x x))
(+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 3 (pow.f64 x 4)) (pow.f64 x 2)))
(fma.f64 -2 (pow.f64 x 3) (fma.f64 3 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 (pow.f64 x 3) -2 (fma.f64 x x (*.f64 3 (pow.f64 x 4))))
(fma.f64 3 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (*.f64 x x)))
(fma.f64 x x (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 3) -2)))
(+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 -4 (pow.f64 x 5)))))
(fma.f64 -2 (pow.f64 x 3) (+.f64 (fma.f64 3 (pow.f64 x 4) (*.f64 x x)) (*.f64 (pow.f64 x 5) -4)))
(fma.f64 (pow.f64 x 3) -2 (fma.f64 3 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 5) -4))))
(fma.f64 3 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (fma.f64 (pow.f64 x 5) -4 (*.f64 x x))))
(fma.f64 3 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (fma.f64 x x (*.f64 (pow.f64 x 5) -4))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (+.f64 1 (/.f64 (/.f64 3 x) x)) (/.f64 -2 x))
(+.f64 (/.f64 3 (*.f64 x x)) (-.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 3 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 4 (pow.f64 x 3)))) (/.f64 -2 x))
(+.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 3 (*.f64 x x)) (-.f64 1 (/.f64 2 x))))
(+.f64 1 (-.f64 (/.f64 -2 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 3 (*.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 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (+.f64 1 (/.f64 (/.f64 3 x) x)) (/.f64 -2 x))
(+.f64 (/.f64 3 (*.f64 x x)) (-.f64 1 (/.f64 2 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 3 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 4 (pow.f64 x 3)))) (/.f64 -2 x))
(+.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 3 (*.f64 x x)) (-.f64 1 (/.f64 2 x))))
(+.f64 1 (-.f64 (/.f64 -2 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 3 (*.f64 x x)))))
1
(+.f64 (*.f64 6 x) 1)
(fma.f64 6 x 1)
(+.f64 (*.f64 6 x) (+.f64 1 (*.f64 18 (pow.f64 x 2))))
(+.f64 (fma.f64 6 x 1) (*.f64 18 (*.f64 x x)))
(fma.f64 6 x (fma.f64 18 (*.f64 x x) 1))
(fma.f64 6 x (fma.f64 x (*.f64 x 18) 1))
(+.f64 (*.f64 6 x) (+.f64 (*.f64 38 (pow.f64 x 3)) (+.f64 1 (*.f64 18 (pow.f64 x 2)))))
(fma.f64 6 x (fma.f64 38 (pow.f64 x 3) (+.f64 1 (*.f64 18 (*.f64 x x)))))
(fma.f64 6 x (fma.f64 (pow.f64 x 3) 38 (fma.f64 18 (*.f64 x x) 1)))
(fma.f64 6 x (fma.f64 x (*.f64 x 18) (fma.f64 (pow.f64 x 3) 38 1)))
-1
(neg.f64 (+.f64 1 (*.f64 6 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 6 x)))
(+.f64 -1 (/.f64 -6 x))
(neg.f64 (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) 1)))
(neg.f64 (+.f64 (/.f64 18 (*.f64 x x)) (+.f64 1 (/.f64 6 x))))
(-.f64 (/.f64 -18 (*.f64 x x)) (+.f64 1 (/.f64 6 x)))
(-.f64 (/.f64 -6 x) (+.f64 1 (/.f64 18 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -6 x) (/.f64 -18 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 38 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 (/.f64 1 x)) 1))))
(neg.f64 (+.f64 (/.f64 18 (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 6 x)) (/.f64 38 (pow.f64 x 3)))))
(-.f64 (/.f64 -18 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 6 x) (/.f64 38 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -6 x) (+.f64 1 (/.f64 18 (*.f64 x x)))) (/.f64 -38 (pow.f64 x 3)))
(+.f64 -1 (-.f64 (/.f64 -18 (*.f64 x x)) (+.f64 (/.f64 6 x) (/.f64 38 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 6 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 6 x)))
(+.f64 -1 (/.f64 -6 x))
(neg.f64 (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) 1)))
(neg.f64 (+.f64 (/.f64 18 (*.f64 x x)) (+.f64 1 (/.f64 6 x))))
(-.f64 (/.f64 -18 (*.f64 x x)) (+.f64 1 (/.f64 6 x)))
(-.f64 (/.f64 -6 x) (+.f64 1 (/.f64 18 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -6 x) (/.f64 -18 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 38 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 6 (/.f64 1 x)) 1))))
(neg.f64 (+.f64 (/.f64 18 (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 6 x)) (/.f64 38 (pow.f64 x 3)))))
(-.f64 (/.f64 -18 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 6 x) (/.f64 38 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -6 x) (+.f64 1 (/.f64 18 (*.f64 x x)))) (/.f64 -38 (pow.f64 x 3)))
(+.f64 -1 (-.f64 (/.f64 -18 (*.f64 x x)) (+.f64 (/.f64 6 x) (/.f64 38 (pow.f64 x 3)))))

prune1000.0ms (14.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2382240
Fresh123
Picked101
Done011
Total2405245
Error
0.0b
Counts
245 → 5
Alt Table
StatusErrorProgram
▶31.5b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
33.0b
(fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
31.6b
(/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 3)) 3) 1/3) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
32.4b
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x -1 -1) 3) (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
✓29.8b
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
Compiler

Compiled 14704 to 11347 computations (22.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x 1))
✓0.1b
(*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))
✓7.4b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
✓16.2b
(/.f64 (+.f64 x 1) (fma.f64 x x -1))

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite131.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
592×log-prod_binary64
444×fma-def_binary64
294×pow2_binary64
272×fma-neg_binary64
226×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01054
122936
2355136
Stop Event
1×node limit
Counts
3 → 257
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 (/.f64 1 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (*.f64 (pow.f64 (+.f64 x -1) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -1/2) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) 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((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))) (neg.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))) (neg.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (fma.f64 x x -1)) (pow.f64 (+.f64 x 1) 3)) (*.f64 (+.f64 x 1) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x x -1) (*.f64 (/.f64 (+.f64 x 1) x) (pow.f64 (+.f64 x 1) 2))) (*.f64 (/.f64 (+.f64 x 1) x) (fma.f64 x x 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(sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x -1) -1/2)) (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x -1) -1/2)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 1)) (/.f64 1 (fma.f64 x x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) 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 expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))

simplify50.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
811×times-frac_binary64
490×fma-neg_binary64
369×sub-neg_binary64
311×fma-def_binary64
280×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
064503
1197472
2578465
31734462
44768459
Stop Event
1×node limit
Counts
293 → 297
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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))))))
-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))))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))
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 (fma.f64 x x 1) (fma.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 -3 x) (/.f64 (/.f64 1 x) 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 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.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))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) 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 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.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 x (+.f64 (fma.f64 x x 1) 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 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.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)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 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 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.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)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))

prune1.4s (20.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3490349
Fresh033
Picked011
Done011
Total3495354
Error
0.0b
Counts
354 → 5
Alt Table
StatusErrorProgram
✓31.5b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
33.0b
(fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
31.6b
(/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 3)) 3) 1/3) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
32.4b
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x -1 -1) 3) (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
✓29.8b
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
Compiler

Compiled 8445 to 6178 computations (26.8% saved)

regimes27.0ms (0.4%)

Accuracy

Total -63.6b remaining (-88211.1%)

Threshold costs -63.6b (-88211.1%)

Counts
8 → 3
Calls
Call 1
Inputs
(/.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 3)) 3) 1/3) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x -1 -1) 3) (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x -1 -1) 3) (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))))))
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))
Results
15.0ms0.1bx
4.0ms0.3b(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 280 to 211 computations (24.6% saved)

bsearch75.0ms (1.1%)

Algorithm
2×binary-search
Calls

2 calls:

38.0ms
x
37.0ms
x
Steps
ItersPointRange
547.9582968275782
∈ [
547.9582968275782
, 
1612843733584.6602
]
-2181902.375756449
∈ [
-2181902.375756449
, 
-2644.882272506528
]
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
041154
157154
269154
379154
487154
591154
692154
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -9371199346938652/4294967296) (+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1))) (if (<=.f64 x 4819892151186041/8796093022208) (/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x -1 -1) 3) (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) (+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))))
Outputs
(if (<=.f64 x -9371199346938652/4294967296) (+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1))) (if (<=.f64 x 4819892151186041/8796093022208) (/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x -1 -1) 3) (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) (+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))))
(if (<=.f64 x -2342799836734663/1073741824) (+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1))) (if (<=.f64 x 4819892151186041/8796093022208) (/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 x -1 -1) 3) (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x -1) 3))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) 2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) (+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 3 x) 1)))))

end58.0ms (0.9%)

Stop Event
1×fuel
Compiler

Compiled 212 to 164 computations (22.6% saved)

Profiling

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