Details

Time bar (total: 3.3s)

analyze5.0ms (0.1%)

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

Compiled 15 to 11 computations (26.7% saved)

sample1.5s (43.4%)

Results
601.0ms2029×body1024valid
406.0ms4419×body128valid
266.0ms1056×body512valid
88.0ms543×body256valid
76.0ms209×body2048valid
Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess67.0ms (2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 10 computations (28.6% saved)

simplify60.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 55 to 39 computations (29.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
✓0.0b
(/.f64 x (+.f64 x 1))
✓3.0b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
470×fma-def_binary64
286×fma-neg_binary64
267×log-div_binary64
174×expm1-udef_binary64
174×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
119536
2322236
Stop Event
1×node limit
Counts
3 → 210
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 x (+.f64 x 1))
(/.f64 (+.f64 x 1) (-.f64 x 1))
Outputs
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simplify31.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
405×fma-neg_binary64
344×cancel-sign-sub-inv_binary64
289×associate-*l*_binary64
287×fma-def_binary64
232×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064475
1204443
2626430
31939428
Stop Event
1×node limit
Counts
246 → 250
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
1
(+.f64 1 (*.f64 3 x))
(fma.f64 3 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 3 x)))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 x (+.f64 3 x) (fma.f64 3 (pow.f64 x 3) 1))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(-.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 4)))
(+.f64 x (-.f64 (pow.f64 x 3) (fma.f64 x x (pow.f64 x 4))))
(*.f64 (fma.f64 x x 1) (fma.f64 x (neg.f64 x) x))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 x)))
(+.f64 -1 (neg.f64 (*.f64 x 2)))
(-.f64 -1 (*.f64 x 2))
(fma.f64 x -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))))
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(-.f64 -1 (*.f64 2 (fma.f64 x x x)))
(fma.f64 -2 (fma.f64 x x x) -1)
(fma.f64 (fma.f64 x x x) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3))))))
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x))))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))

prune225.0ms (6.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2446250
Fresh000
Picked101
Done000
Total2456251
Error
0.0b
Counts
251 → 6
Alt Table
StatusErrorProgram
30.9b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
33.6b
(fma.f64 x (+.f64 3 x) 1)
30.2b
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
32.6b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
60.8b
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
▶30.0b
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
Compiler

Compiled 6242 to 4607 computations (26.2% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -1 x) x)
✓0.4b
(/.f64 3 (pow.f64 x 3))
✓5.2b
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
✓9.0b
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))

series5.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
1.0ms
x
@0
(/.f64 3 (pow.f64 x 3))
1.0ms
x
@0
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
0.0ms
x
@0
(/.f64 (/.f64 -1 x) x)
0.0ms
x
@inf
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))

rewrite83.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
263×log1p-udef_binary64
156×add-sqr-sqrt_binary64
152×pow1_binary64
150×*-un-lft-identity_binary64
150×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01355
131949
2482449
Stop Event
1×node limit
Counts
4 → 174
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))
(/.f64 3 (pow.f64 x 3))
(/.f64 (/.f64 -1 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 2) (+.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) (pow.f64 x -4))) (/.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (neg.f64 (pow.f64 x -4)) (sqrt.f64 (pow.f64 x -4))) (*.f64 3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))) (sqrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 3) (pow.f64 (neg.f64 (pow.f64 x -4)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 2) (*.f64 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(pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 1 x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (sqrt.f64 (pow.f64 x -4))) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 3) x) (pow.f64 (/.f64 (cbrt.f64 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 3) x) 2) (/.f64 (cbrt.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (pow.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (pow.f64 x -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x -4))) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x -4))) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 x -4))))))))

simplify28.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
575×times-frac_binary64
381×associate-/l/_binary64
329×associate-*l*_binary64
304×associate-*l/_binary64
281×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024504
159468
2150468
3407468
41290456
Stop Event
1×node limit
Counts
210 → 184
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 4))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
Outputs
(/.f64 -1 (pow.f64 x 4))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x)))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))

prune163.0ms (4.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1840184
Fresh055
Picked011
Done000
Total1846190
Error
0.0b
Counts
190 → 6
Alt Table
StatusErrorProgram
30.9b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
33.6b
(fma.f64 x (+.f64 3 x) 1)
▶30.2b
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
32.6b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
60.8b
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
✓30.0b
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
Compiler

Compiled 5632 to 4425 computations (21.4% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 1 (pow.f64 x 3))
✓0.5b
(/.f64 1 (pow.f64 x 2))
✓6.5b
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
✓7.2b
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))

series8.0ms (0.2%)

Counts
4 → 12
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 1 (pow.f64 x 3))
1.0ms
x
@-inf
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
1.0ms
x
@0
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
0.0ms
x
@inf
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
0.0ms
x
@-inf
(/.f64 1 (pow.f64 x 3))

rewrite48.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
203×add-sqr-sqrt_binary64
196×pow1_binary64
193×*-un-lft-identity_binary64
193×add-log-exp_binary64
193×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01842
143242
Stop Event
1×node limit
Counts
4 → 134
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -3) (pow.f64 (cbrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))))

simplify34.0ms (1%)

Algorithm
1×egg-herbie
Rules
662×associate-/r/_binary64
599×fma-def_binary64
332×associate-/r*_binary64
306×associate-*l*_binary64
303×*-commutative_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
022147
151147
297147
3186147
4506141
52753138
64189138
Stop Event
1×node limit
Counts
146 → 147
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 3 x)
(+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 3 x)
(+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(/.f64 3 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
Outputs
(/.f64 1 (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(fma.f64 (+.f64 1 (/.f64 3 x)) (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)))
(/.f64 3 x)
(+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(fma.f64 (+.f64 1 (/.f64 3 x)) (/.f64 1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) (/.f64 3 x))
(/.f64 3 x)
(+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(fma.f64 (+.f64 1 (/.f64 3 x)) (/.f64 1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) (/.f64 3 x))
(/.f64 3 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))

prune142.0ms (4.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1470147
Fresh044
Picked011
Done011
Total1476153
Error
0.0b
Counts
153 → 6
Alt Table
StatusErrorProgram
▶30.9b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
33.6b
(fma.f64 x (+.f64 3 x) 1)
✓30.2b
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
32.6b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
60.8b
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
✓30.0b
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
Compiler

Compiled 4754 to 3802 computations (20% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x 1))
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))
✓0.5b
(expm1.f64 (/.f64 x (+.f64 x 1)))
✓3.0b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(expm1.f64 (/.f64 x (+.f64 x 1)))
0.0ms
x
@0
(expm1.f64 (/.f64 x (+.f64 x 1)))
0.0ms
x
@0
(-.f64 (log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0ms
x
@-inf
(expm1.f64 (/.f64 x (+.f64 x 1)))
0.0ms
x
@inf
(-.f64 (log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite71.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
420×fma-def_binary64
287×fma-neg_binary64
246×log-div_binary64
185×expm1-udef_binary64
185×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
121335
2325435
Stop Event
1×node limit
Counts
3 → 196
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(expm1.f64 (/.f64 x (+.f64 x 1)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))
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 (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)) (/.f64 x (+.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 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (/.f64 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 x (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 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 x (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))) (neg.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (/.f64 x (+.f64 x 1))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (/.f64 x (+.f64 x 1))) 2) (expm1.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 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 x (+.f64 x 1))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 x (+.f64 x 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))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 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 (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 (/.f64 1 (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) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.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 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 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 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 (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 -1 (neg.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 -1 x -1)))))) (#(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 x 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 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 (cbrt.f64 (/.f64 x (+.f64 x 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 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(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 expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))))

simplify31.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
380×cancel-sign-sub-inv_binary64
350×fma-neg_binary64
275×associate-*l*_binary64
241×fma-def_binary64
240×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069534
1201497
2598478
32011470
Stop Event
1×node limit
Counts
232 → 237
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
x
(-.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (E.f64) 1)
(-.f64 (E.f64) (+.f64 (/.f64 (E.f64) x) 1))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 (E.f64) (pow.f64 x 2))) (E.f64)) (+.f64 (/.f64 (E.f64) x) 1))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 (E.f64) (pow.f64 x 2))) (E.f64)) (+.f64 (/.f64 (E.f64) x) (+.f64 1 (*.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3))))))
(-.f64 (E.f64) 1)
(-.f64 (E.f64) (+.f64 (/.f64 (E.f64) x) 1))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 (E.f64) (pow.f64 x 2))) (E.f64)) (+.f64 (/.f64 (E.f64) x) 1))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 (E.f64) (pow.f64 x 2))) (E.f64)) (+.f64 (/.f64 (E.f64) x) (+.f64 1 (*.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3))))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
Outputs
1
(+.f64 1 (*.f64 3 x))
(fma.f64 3 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x)))
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 3 x)))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 (+.f64 x (pow.f64 x 3))))
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
x
(-.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 -1/2 (*.f64 x x)))
(-.f64 x (*.f64 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x x) -1/2 x)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (fma.f64 1/6 (pow.f64 x 3) x) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/6 x))
(+.f64 x (*.f64 (*.f64 x x) (fma.f64 x 1/6 -1/2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/24 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (*.f64 x x) 1/2)))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 4) 1/24 x)))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x 1/6 -1/2)) (fma.f64 (pow.f64 x 4) 1/24 x))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) (+.f64 (/.f64 (E.f64) x) 1))
(-.f64 (E.f64) (+.f64 1 (/.f64 (E.f64) x)))
(-.f64 (expm1.f64 1) (/.f64 (E.f64) x))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 (E.f64) (pow.f64 x 2))) (E.f64)) (+.f64 (/.f64 (E.f64) x) 1))
(-.f64 (fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (+.f64 1 (/.f64 (E.f64) x)))
(fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (-.f64 (expm1.f64 1) (/.f64 (E.f64) x)))
(fma.f64 (/.f64 3/2 x) (/.f64 (E.f64) x) (-.f64 (expm1.f64 1) (/.f64 (E.f64) x)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 (E.f64) (pow.f64 x 2))) (E.f64)) (+.f64 (/.f64 (E.f64) x) (+.f64 1 (*.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3))))))
(-.f64 (fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (+.f64 (/.f64 (E.f64) x) (+.f64 1 (*.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3))))))
(-.f64 (fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (+.f64 (/.f64 (E.f64) x) (fma.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3)) 1)))
(fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (-.f64 (expm1.f64 1) (fma.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3)) (/.f64 (E.f64) x))))
(+.f64 (-.f64 (expm1.f64 1) (/.f64 (E.f64) x)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (-.f64 3/2 (/.f64 13/6 x))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) (+.f64 (/.f64 (E.f64) x) 1))
(-.f64 (E.f64) (+.f64 1 (/.f64 (E.f64) x)))
(-.f64 (expm1.f64 1) (/.f64 (E.f64) x))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 (E.f64) (pow.f64 x 2))) (E.f64)) (+.f64 (/.f64 (E.f64) x) 1))
(-.f64 (fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (+.f64 1 (/.f64 (E.f64) x)))
(fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (-.f64 (expm1.f64 1) (/.f64 (E.f64) x)))
(fma.f64 (/.f64 3/2 x) (/.f64 (E.f64) x) (-.f64 (expm1.f64 1) (/.f64 (E.f64) x)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 (E.f64) (pow.f64 x 2))) (E.f64)) (+.f64 (/.f64 (E.f64) x) (+.f64 1 (*.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3))))))
(-.f64 (fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (+.f64 (/.f64 (E.f64) x) (+.f64 1 (*.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3))))))
(-.f64 (fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (+.f64 (/.f64 (E.f64) x) (fma.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3)) 1)))
(fma.f64 3/2 (/.f64 (E.f64) (*.f64 x x)) (-.f64 (expm1.f64 1) (fma.f64 13/6 (/.f64 (E.f64) (pow.f64 x 3)) (/.f64 (E.f64) x))))
(+.f64 (-.f64 (expm1.f64 1) (/.f64 (E.f64) x)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (-.f64 3/2 (/.f64 13/6 x))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 x (*.f64 x x))
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(+.f64 x (-.f64 (pow.f64 x 3) (*.f64 x x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(-.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 4)))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(+.f64 (/.f64 (/.f64 1 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 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(+.f64 (/.f64 (/.f64 1 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 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 x)))

prune202.0ms (6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2831284
Fresh123
Picked011
Done022
Total2846290
Error
0.0b
Counts
290 → 6
Alt Table
StatusErrorProgram
✓30.9b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
33.6b
(fma.f64 x (+.f64 3 x) 1)
✓30.2b
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))))
31.7b
(/.f64 (fma.f64 x (+.f64 x -1) (neg.f64 (pow.f64 (+.f64 x 1) 2))) (fma.f64 x x -1))
32.6b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
✓30.0b
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
Compiler

Compiled 6836 to 5045 computations (26.2% saved)

regimes363.0ms (10.9%)

Accuracy

Total 0.0b remaining (36.2%)

Threshold costs 0.0b (36.2%)

Counts
163 → 3
Compiler

Compiled 3049 to 2322 computations (23.8% saved)

bsearch29.0ms (0.9%)

Algorithm
2×binary-search
Calls

2 calls:

15.0ms
x
14.0ms
x
Steps
ItersPointRange
2800.0
∈ [
219.8134715948527
, 
11438.187438456733
]
-3600.0
∈ [
-1884985.8188941367
, 
-835.3758999245129
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032106
141106
243106
344106
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -3600) (neg.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2)))))) (if (<=.f64 x 2800) (/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))) (neg.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2))))))))
Outputs
(if (<=.f64 x -3600) (neg.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2)))))) (if (<=.f64 x 2800) (/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 -1 x -1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) (+.f64 x 1)))) (neg.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2))))))))

end162.0ms (4.8%)

Stop Event
1×fuel
Compiler

Compiled 255 to 196 computations (23.1% saved)

Profiling

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