Details

Time bar (total: 7.0s)

analyze6.0ms (0.1%)

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
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.9s (26.8%)

Results
829.0ms2068×body1024valid
464.0ms4218×body64valid
315.0ms1008×body512valid
118.0ms477×body256valid
98.0ms224×body2048valid
46.0ms261×body128valid

preprocess68.0ms (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)

simplify61.0ms (0.9%)

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)))

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
29.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
29.1b
(-.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 x (+.f64 x 1))
0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
2.9b
(-.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))

rewrite102.0ms (1.4%)

Algorithm
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
node limit
Counts
3 → 225
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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simplify49.0ms (0.7%)

Algorithm
egg-herbie
Rules
820×times-frac_binary64
427×sub-neg_binary64
343×fma-neg_binary64
321×fma-def_binary64
254×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
064466
1205439
2590432
31727429
44802425
Stop Event
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))))))
-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 (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))
(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)))
(*.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 (/.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)))))

prune968.0ms (13.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2614265
Fresh000
Picked101
Done000
Total2624266
Error
0.0b
Counts
266 → 4
Alt Table
StatusErrorProgram
31.8b
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))) (/.f64 3 (pow.f64 x 3))))
29.1b
(-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1)))
29.1b
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))))
29.4b
(fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
Compiler

Compiled 6554 to 4831 computations (26.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x 1) x)
0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
0.1b
(pow.f64 (/.f64 (+.f64 x 1) x) -1)
2.9b
(-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1)))

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite98.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
553×log-prod_binary64
398×fma-def_binary64
372×pow-prod-down_binary64
294×pow2_binary64
276×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01039
123233
2343733
Stop Event
node limit
Counts
3 → 219
Calls
Call 1
Inputs
(-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(pow.f64 (/.f64 (+.f64 x 1) x) -1)
(/.f64 (+.f64 x 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (fma.f64 -1 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 (/.f64 (fma.f64 -1 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 (neg.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 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (+.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.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) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 x (+.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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) -2) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 x 1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) -2) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.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)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (+.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))))))

simplify44.0ms (0.6%)

Algorithm
egg-herbie
Rules
697×fma-def_binary64
653×times-frac_binary64
401×sub-neg_binary64
288×fma-neg_binary64
234×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046398
1143378
2413373
31267369
44413365
Stop Event
node limit
Counts
255 → 248
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))))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(*.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))
(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 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 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 x (*.f64 (*.f64 x x) (+.f64 -1 x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(fma.f64 x (-.f64 (*.f64 x x) x) 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)))
(*.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 (/.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 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.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 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.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 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

prune1.2s (17.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2964300
Fresh303
Picked011
Done000
Total2995304
Error
0.0b
Counts
304 → 5
Alt Table
StatusErrorProgram
29.5b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
31.8b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
29.1b
(-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1)))
29.1b
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (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 (+.f64 x 1) x) -2)))
32.1b
(fma.f64 x (+.f64 3 x) 1)
Compiler

Compiled 7273 to 5434 computations (25.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)
0.1b
(pow.f64 (/.f64 (+.f64 x 1) x) -2)
0.1b
(pow.f64 (/.f64 (+.f64 x 1) x) -3)
2.8b
(-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite128.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
879×prod-diff_binary64
337×fma-def_binary64
264×expm1-udef_binary64
264×log1p-udef_binary64
225×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
134958
2457358
Stop Event
node limit
Counts
4 → 237
Calls
Call 1
Inputs
(-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))
(pow.f64 (/.f64 (+.f64 x 1) x) -3)
(pow.f64 (/.f64 (+.f64 x 1) x) -2)
(pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 x 1) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -4)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (/.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) -2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) -2) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 (/.f64 1 (+.f64 x -1)) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (/.f64 1 (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3/2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) 3) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (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 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (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 1 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x -1 -1) 3) (pow.f64 (-.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x 1) 3)) (neg.f64 (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x -1 -1) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (fma.f64 x -1 -1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1)))) 1))))))

simplify58.0ms (0.8%)

Algorithm
egg-herbie
Rules
542×associate-*l*_binary64
492×unswap-sqr_binary64
441×fma-def_binary64
386×associate-*r*_binary64
375×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0107646
1313626
2843624
32473621
46584621
Stop Event
node limit
Counts
285 → 291
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 (*.f64 -6 x) (*.f64 -18 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -38 (pow.f64 x 3)) (+.f64 (*.f64 -6 x) (*.f64 -18 (pow.f64 x 2)))) 1)
1
(+.f64 1 (*.f64 6 (/.f64 1 x)))
(+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) 1))
(+.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
(+.f64 1 (*.f64 6 (/.f64 1 x)))
(+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) 1))
(+.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 x (*.f64 x 18) (fma.f64 39 (pow.f64 x 3) 1)))
(+.f64 1 (*.f64 x (+.f64 6 (*.f64 x (+.f64 18 (*.f64 x 39))))))
(/.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 -12 (*.f64 x x)) (+.f64 (/.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))))
(+.f64 (/.f64 -9 x) (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -48 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.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 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 -9 x) (/.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 (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -9 x)) (/.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 -12 (*.f64 x x)) (+.f64 (/.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))))
(+.f64 (/.f64 -9 x) (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -48 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.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 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 -9 x) (/.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 (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -9 x)) (/.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 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)))))
(+.f64 1 (+.f64 (/.f64 -3 x) (-.f64 (/.f64 6 (*.f64 x 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 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)))))
(+.f64 1 (+.f64 (/.f64 -3 x) (-.f64 (/.f64 6 (*.f64 x 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))
(+.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 x x (fma.f64 3 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -2)))
(fma.f64 x x (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 3) -2)))
(fma.f64 x x (*.f64 (pow.f64 x 3) (+.f64 -2 (*.f64 x 3))))
(+.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 (pow.f64 x 3) -2 (fma.f64 3 (pow.f64 x 4) (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 1 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 3 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(-.f64 (+.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 1 (-.f64 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 4 (pow.f64 x 3))) (/.f64 2 x)))
(+.f64 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 4 (pow.f64 x 3))) (+.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 1 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 3 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(-.f64 (+.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 1 (-.f64 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 4 (pow.f64 x 3))) (/.f64 2 x)))
(+.f64 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 4 (pow.f64 x 3))) (+.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)
(fma.f64 x -6 -1)
(-.f64 (+.f64 (*.f64 -6 x) (*.f64 -18 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -6 x (*.f64 (*.f64 x x) -18)) -1)
(fma.f64 x -6 (fma.f64 (*.f64 x x) -18 -1))
(fma.f64 x (+.f64 -6 (*.f64 x -18)) -1)
(-.f64 (+.f64 (*.f64 -38 (pow.f64 x 3)) (+.f64 (*.f64 -6 x) (*.f64 -18 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 -38 (pow.f64 x 3) (fma.f64 -6 x (*.f64 (*.f64 x x) -18))) -1)
(fma.f64 (pow.f64 x 3) -38 (fma.f64 x -6 (fma.f64 (*.f64 x x) -18 -1)))
(fma.f64 (pow.f64 x 3) -38 (fma.f64 x (+.f64 -6 (*.f64 x -18)) -1))
1
(+.f64 1 (*.f64 6 (/.f64 1 x)))
(+.f64 1 (/.f64 6 x))
(+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) 1))
(+.f64 (/.f64 18 (*.f64 x x)) (+.f64 1 (/.f64 6 x)))
(+.f64 1 (+.f64 (/.f64 6 x) (/.f64 (/.f64 18 x) x)))
(+.f64 1 (+.f64 (/.f64 6 x) (/.f64 18 (*.f64 x x))))
(+.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)))
(+.f64 (/.f64 18 (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 6 x)) (/.f64 38 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 18 x) x) (+.f64 (/.f64 6 x) (+.f64 1 (/.f64 38 (pow.f64 x 3)))))
(+.f64 (/.f64 6 x) (+.f64 (+.f64 1 (/.f64 38 (pow.f64 x 3))) (/.f64 18 (*.f64 x x))))
(+.f64 (+.f64 1 (/.f64 38 (pow.f64 x 3))) (+.f64 (/.f64 6 x) (/.f64 (/.f64 18 x) x)))
1
(+.f64 1 (*.f64 6 (/.f64 1 x)))
(+.f64 1 (/.f64 6 x))
(+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 x)) 1))
(+.f64 (/.f64 18 (*.f64 x x)) (+.f64 1 (/.f64 6 x)))
(+.f64 1 (+.f64 (/.f64 6 x) (/.f64 (/.f64 18 x) x)))
(+.f64 1 (+.f64 (/.f64 6 x) (/.f64 18 (*.f64 x x))))
(+.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)))
(+.f64 (/.f64 18 (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 6 x)) (/.f64 38 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 18 x) x) (+.f64 (/.f64 6 x) (+.f64 1 (/.f64 38 (pow.f64 x 3)))))
(+.f64 (/.f64 6 x) (+.f64 (+.f64 1 (/.f64 38 (pow.f64 x 3))) (/.f64 18 (*.f64 x x))))
(+.f64 (+.f64 1 (/.f64 38 (pow.f64 x 3))) (+.f64 (/.f64 6 x) (/.f64 (/.f64 18 x) x)))

prune1.4s (19.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2892291
Fresh033
Picked011
Done101
Total2906296
Error
0.0b
Counts
296 → 6
Alt Table
StatusErrorProgram
29.1b
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (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 (+.f64 x 1) x) -2)))
29.4b
(/.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -6)) (neg.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))) (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 (+.f64 x 1) x) -2)))
29.5b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
31.8b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
32.0b
(/.f64 (+.f64 (-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -9 x)) (/.f64 48 (pow.f64 x 3))) (/.f64 -51 (pow.f64 x 4))) (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 (+.f64 x 1) x) -2)))
32.1b
(fma.f64 x (+.f64 3 x) 1)
Compiler

Compiled 20963 to 16030 computations (23.5% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.8b
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -6)) (neg.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)))))
7.6b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -6))
20.8b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3))
33.1b
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))

series21.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))
4.0ms
x
@0
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))
3.0ms
x
@inf
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))
1.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3))
1.0ms
x
@-inf
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -6)) (neg.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)))))

rewrite95.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
481×fma-def_binary64
343×expm1-udef_binary64
343×log1p-udef_binary64
323×fma-neg_binary64
238×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023130
150561
2652261
Stop Event
node limit
Counts
4 → 102
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -6))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -6)) (neg.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) (fma.f64 x -1 -1) (*.f64 (+.f64 1 x) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2)) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0) 2)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)) (sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) 3) (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) 3)) (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 0)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 1 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3/2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -12)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 (+.f64 1 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1) (pow.f64 (/.f64 (+.f64 1 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)) (pow.f64 (/.f64 (+.f64 1 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -12))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3/2)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3/2)) (pow.f64 (/.f64 (+.f64 1 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3/2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 (+.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -12)) 1/3) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -6 (-.f64 (log1p.f64 x) (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3) 0) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -9) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -6) (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) 3) (*.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -3) (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -6) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 2) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) -3))) 1))))))

simplify49.0ms (0.7%)

Algorithm
egg-herbie
Rules
633×fma-def_binary64
566×sub-neg_binary64
470×cancel-sign-sub-inv_binary64
449×associate-+l+_binary64
448×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0123648
1388606
21213556
34775552
Stop Event
node limit
Counts
150 → 160
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
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))))
(*.f64 -1 (cbrt.f64 -1))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (/.f64 (cbrt.f64 -1) x))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (/.f64 (cbrt.f64 -1) x)))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (/.f64 (cbrt.f64 -1) x))))
(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 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 (*.f64 -1 (cbrt.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 6 (*.f64 -2 (cbrt.f64 -1)))) x))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 6 (*.f64 -2 (cbrt.f64 -1)))) x)) (+.f64 (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (*.f64 -3 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))))))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) 1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 6 (*.f64 -2 (cbrt.f64 -1)))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 38 (+.f64 (*.f64 -4 (cbrt.f64 -1)) (+.f64 (*.f64 -3 (cbrt.f64 -1)) (*.f64 -2 (cbrt.f64 -1)))))) (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) 1))
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.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 (*.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) (fma.f64 x (neg.f64 x) x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 -1 x) (+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))
(*.f64 -1 (cbrt.f64 -1))
(neg.f64 (cbrt.f64 -1))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (/.f64 (cbrt.f64 -1) x))
(fma.f64 -1 (cbrt.f64 -1) (/.f64 (cbrt.f64 -1) x))
(-.f64 (/.f64 (cbrt.f64 -1) x) (cbrt.f64 -1))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (/.f64 (cbrt.f64 -1) x)))
(fma.f64 -1 (cbrt.f64 -1) (fma.f64 -1 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (/.f64 (cbrt.f64 -1) x)))
(-.f64 (-.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (cbrt.f64 -1) (*.f64 x x))) (cbrt.f64 -1))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (cbrt.f64 -1) x)) (cbrt.f64 -1))
(-.f64 (*.f64 (-.f64 1 (/.f64 1 x)) (/.f64 (cbrt.f64 -1) x)) (cbrt.f64 -1))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (/.f64 (cbrt.f64 -1) x))))
(fma.f64 -1 (cbrt.f64 -1) (+.f64 (fma.f64 -1 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (/.f64 (cbrt.f64 -1) x)) (/.f64 (cbrt.f64 -1) (pow.f64 x 3))))
(+.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 (cbrt.f64 -1) x) (/.f64 (cbrt.f64 -1) (*.f64 x x))) (cbrt.f64 -1)))
(+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (cbrt.f64 -1) x)) (-.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (cbrt.f64 -1)))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 x)) (/.f64 (cbrt.f64 -1) x)) (-.f64 (/.f64 (cbrt.f64 -1) (pow.f64 x 3)) (cbrt.f64 -1)))
(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))
(+.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 x x (fma.f64 3 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -2)))
(fma.f64 x x (*.f64 (pow.f64 x 3) (+.f64 -2 (*.f64 3 x))))
(+.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 -4 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) -2 (fma.f64 3 (pow.f64 x 4) (fma.f64 x x (*.f64 -4 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 3) -2 (fma.f64 x x (fma.f64 3 (pow.f64 x 4) (*.f64 -4 (pow.f64 x 5)))))
(fma.f64 3 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (fma.f64 x x (*.f64 -4 (pow.f64 x 5)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 3 (*.f64 x x)) (/.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 (+.f64 1 (/.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 1 (+.f64 (/.f64 3 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 1 (+.f64 (+.f64 (/.f64 3 (*.f64 x x)) (/.f64 -4 (pow.f64 x 3))) (/.f64 -2 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 1 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 3 (*.f64 x x)) (/.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 (+.f64 1 (/.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 1 (+.f64 (/.f64 3 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 1 (+.f64 (+.f64 (/.f64 3 (*.f64 x x)) (/.f64 -4 (pow.f64 x 3))) (/.f64 -2 x)))
1
(+.f64 (*.f64 6 x) 1)
(fma.f64 6 x 1)
(fma.f64 x 6 1)
(+.f64 (*.f64 6 x) (+.f64 1 (*.f64 18 (pow.f64 x 2))))
(+.f64 (fma.f64 6 x 1) (*.f64 (*.f64 x x) 18))
(fma.f64 x 6 (fma.f64 (*.f64 x x) 18 1))
(fma.f64 x 6 (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 (pow.f64 x 3) 39)))
(+.f64 (fma.f64 (*.f64 x x) 18 (*.f64 (pow.f64 x 3) 39)) (fma.f64 x 6 1))
(fma.f64 x 6 (fma.f64 x (*.f64 x 18) (fma.f64 (pow.f64 x 3) 39 1)))
(+.f64 1 (*.f64 x (+.f64 6 (*.f64 x (+.f64 18 (*.f64 x 39))))))
(/.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))
(-.f64 (/.f64 -9 x) (/.f64 (/.f64 12 x) 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 -12 (*.f64 x x)) (+.f64 (/.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 (/.f64 12 (*.f64 x x)) (/.f64 9 x)) (+.f64 (/.f64 48 (pow.f64 x 3)) (/.f64 51 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.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 (/.f64 -12 (*.f64 x x)) (+.f64 (/.f64 -9 x) (/.f64 -48 (pow.f64 x 3)))) (/.f64 -51 (pow.f64 x 4)))
(-.f64 (*.f64 -1 (cbrt.f64 -1)) 1)
(fma.f64 -1 (cbrt.f64 -1) -1)
(-.f64 -1 (cbrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 6 (*.f64 -2 (cbrt.f64 -1)))) x))) 1)
(+.f64 (*.f64 -1 (+.f64 (cbrt.f64 -1) (/.f64 (fma.f64 -1 (cbrt.f64 -1) (+.f64 6 (*.f64 (cbrt.f64 -1) -2))) x))) -1)
(fma.f64 -1 (+.f64 (cbrt.f64 -1) (/.f64 (-.f64 (fma.f64 (cbrt.f64 -1) -2 6) (cbrt.f64 -1)) x)) -1)
(-.f64 -1 (+.f64 (cbrt.f64 -1) (/.f64 (+.f64 6 (*.f64 (cbrt.f64 -1) -3)) x)))
(+.f64 -1 (-.f64 (/.f64 (+.f64 -6 (*.f64 3 (cbrt.f64 -1))) x) (cbrt.f64 -1)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 6 (*.f64 -2 (cbrt.f64 -1)))) x)) (+.f64 (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (*.f64 -3 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))))))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) 1))
(-.f64 (fma.f64 -2 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (fma.f64 -1 (cbrt.f64 -1) (fma.f64 -1 (/.f64 (fma.f64 -1 (cbrt.f64 -1) (+.f64 6 (*.f64 (cbrt.f64 -1) -2))) x) (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -4)))) (+.f64 1 (/.f64 18 (*.f64 x x))))
(+.f64 (-.f64 (fma.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -2 (-.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -4) (/.f64 (-.f64 (fma.f64 (cbrt.f64 -1) -2 6) (cbrt.f64 -1)) x)) (cbrt.f64 -1))) (/.f64 18 (*.f64 x x))) -1)
(+.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -6) (/.f64 (+.f64 6 (*.f64 (cbrt.f64 -1) -3)) x)) (-.f64 (-.f64 -1 (cbrt.f64 -1)) (/.f64 18 (*.f64 x x))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 (+.f64 -6 (*.f64 3 (cbrt.f64 -1))) x) (cbrt.f64 -1)) (+.f64 (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -6) (/.f64 -18 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 6 (*.f64 -2 (cbrt.f64 -1)))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (cbrt.f64 -1)) (+.f64 38 (+.f64 (*.f64 -4 (cbrt.f64 -1)) (+.f64 (*.f64 -3 (cbrt.f64 -1)) (*.f64 -2 (cbrt.f64 -1)))))) (pow.f64 x 3))) (+.f64 (*.f64 -3 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 x 2))) 1))
(-.f64 (fma.f64 -2 (/.f64 (cbrt.f64 -1) (*.f64 x x)) (fma.f64 -1 (cbrt.f64 -1) (fma.f64 -1 (/.f64 (fma.f64 -1 (cbrt.f64 -1) (+.f64 6 (*.f64 (cbrt.f64 -1) -2))) x) (fma.f64 -1 (/.f64 (fma.f64 -1 (cbrt.f64 -1) (+.f64 38 (fma.f64 -4 (cbrt.f64 -1) (*.f64 (cbrt.f64 -1) -5)))) (pow.f64 x 3)) (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -4))))) (+.f64 1 (/.f64 18 (*.f64 x x))))
(-.f64 (fma.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -2 (-.f64 (-.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -4) (/.f64 (-.f64 (+.f64 38 (*.f64 (cbrt.f64 -1) -9)) (cbrt.f64 -1)) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 (cbrt.f64 -1) -2 6) (cbrt.f64 -1)) x)) (cbrt.f64 -1))) (+.f64 1 (/.f64 18 (*.f64 x x))))
(+.f64 -1 (+.f64 (-.f64 (-.f64 (-.f64 (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -6) (/.f64 (+.f64 6 (*.f64 (cbrt.f64 -1) -3)) x)) (cbrt.f64 -1)) (/.f64 (+.f64 38 (*.f64 (cbrt.f64 -1) -10)) (pow.f64 x 3))) (/.f64 -18 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 (+.f64 -6 (*.f64 3 (cbrt.f64 -1))) x) (cbrt.f64 -1)) (+.f64 (+.f64 (/.f64 (+.f64 -38 (*.f64 (cbrt.f64 -1) 10)) (pow.f64 x 3)) (*.f64 (/.f64 (cbrt.f64 -1) (*.f64 x x)) -6)) (-.f64 -1 (/.f64 18 (*.f64 x x)))))

prune569.0ms (8.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh044
Picked011
Done011
Total1606166
Error
0.0b
Counts
166 → 6
Alt Table
StatusErrorProgram
29.1b
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (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 (+.f64 x 1) x) -2)))
29.4b
(/.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -6)) (neg.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))) (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 (+.f64 x 1) x) -2)))
29.5b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
31.8b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
32.0b
(/.f64 (+.f64 (-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -9 x)) (/.f64 48 (pow.f64 x 3))) (/.f64 -51 (pow.f64 x 4))) (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 (+.f64 x 1) x) -2)))
32.1b
(fma.f64 x (+.f64 3 x) 1)
Compiler

Compiled 16279 to 12639 computations (22.4% saved)

regimes35.0ms (0.5%)

Accuracy

Total -63.5b remaining (-232365.7%)

Threshold costs -63.5b (-232365.7%)

Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -6)) (neg.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) (+.f64 x 1))))) (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 (+.f64 x 1) x) -2)))
(/.f64 (+.f64 (-.f64 (+.f64 (/.f64 -12 (*.f64 x x)) (/.f64 -9 x)) (/.f64 48 (pow.f64 x 3))) (/.f64 -51 (pow.f64 x 4))) (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 (+.f64 x 1) x) -2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (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 (+.f64 x 1) x) -2)))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))) (/.f64 3 (pow.f64 x 3))))
(-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
(-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
Results
19.0ms0.0bx
6.0ms0.4b(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 395 to 294 computations (25.6% saved)

bsearch60.0ms (0.9%)

Algorithm
binary-search
Calls

2 calls:

39.0ms
x
20.0ms
x
Steps
ItersPointRange
1672.3439861122827
∈ [
1672.3439861122827
,
81766.2963331171
]
-915718.0760814397
∈ [
-915718.0760814397
,
-0.008806564043700841
]
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03096
14096
24696
35396
45996
56296
66396
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -7865958378251647/8589934592) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))) (if (<=.f64 x 7355046633486881/4398046511104) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1))) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))))
Outputs
(if (<=.f64 x -7865958378251647/8589934592) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))) (if (<=.f64 x 7355046633486881/4398046511104) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1))) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))))
(if (<=.f64 x -7865958378251647/8589934592) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))) (if (<=.f64 x 7355046633486881/4398046511104) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (+.f64 x -1))) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))))
(if (<=.f64 x -7865958378251647/8589934592) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))) (if (<=.f64 x 7355046633486881/4398046511104) (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (-.f64 -1 x) (+.f64 x -1))) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))))

end45.0ms (0.6%)

Stop Event
fuel
Compiler

Compiled 132 to 98 computations (25.8% saved)

Profiling

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