Details

Time bar (total: 3.5s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (35.6%)

Results
728.0ms5836×body256valid
411.0ms2010×body512valid
99.0ms410×body1024valid
0.0ms2×body256invalid

preprocess17.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11213
21813
32613
43613
55413
69113
712413
816713
920313
1022913
1123113
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify9.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11213
21813
32613
43613
55413
69113
712413
816713
920313
1022913
1123113
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))

eval1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

prune26.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
14.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶14.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 24 to 18 computations (25% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite55.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
902×prod-diff_binary64
613×unpow-prod-down_binary64
406×fma-def_binary64
392×log-prod_binary64
233×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118220
2269320
Stop Event
1×node limit
Counts
2 → 118
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(/.f64 1 (+.f64 1 x))
Outputs
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x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 x)) 1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x -1)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 x)) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 -1 (cbrt.f64 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (fma.f64 -1 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (/.f64 1 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 x) -2) (cbrt.f64 (pow.f64 (+.f64 1 x) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 1 x) -1/2)) 1/3) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 -1 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))))

simplify50.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
609×fma-neg_binary64
509×cancel-sign-sub-inv_binary64
404×associate-/r*_binary64
341×sub-neg_binary64
332×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037380
198372
2241366
3732364
42410363
57363363
Stop Event
1×node limit
Counts
142 → 147
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 -1 x)) x)
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (-.f64 (*.f64 x x) x) (/.f64 1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1)
(*.f64 (fma.f64 x x 1) (-.f64 1 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -1 x) (pow.f64 (/.f64 -1 x) 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -1 x) (pow.f64 (/.f64 -1 x) 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4)))))

eval59.0ms (1.7%)

Compiler

Compiled 2340 to 1849 computations (21% saved)

prune27.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1398147
Fresh000
Picked011
Done000
Total1399148
Error
0.0b
Counts
148 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.4b
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 1 x)))
30.0b
(/.f64 -1 (pow.f64 x 2))
▶32.9b
(/.f64 -1 x)
▶33.6b
(-.f64 1 (/.f64 1 x))
▶13.4b
(/.f64 (/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x)) x)
▶30.0b
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
✓14.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
33.5b
(+.f64 1 (-.f64 (/.f64 -1 x) x))
29.9b
(/.f64 (/.f64 -1 x) x)
Compiler

Compiled 152 to 112 computations (26.3% saved)

localize18.0ms (0.5%)

Local error

Found 6 expressions with local error:

NewErrorProgram
1.7b
(+.f64 x (fma.f64 -1 x -1))
0.0b
(/.f64 (/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x)) x)
0.0b
(/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x))
✓0.0b
(/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x))
✓0.0b
(/.f64 (/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x)) x)
✓1.7b
(+.f64 x (fma.f64 -1 x -1))
Compiler

Compiled 39 to 27 computations (30.8% saved)

series7.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x)) x)
1.0ms
x
@-inf
(+.f64 x (fma.f64 -1 x -1))
1.0ms
x
@inf
(+.f64 x (fma.f64 -1 x -1))
1.0ms
x
@0
(+.f64 x (fma.f64 -1 x -1))
0.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x)) x)

rewrite69.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
670×prod-diff_binary64
506×log-prod_binary64
317×fma-def_binary64
266×pow2_binary64
207×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0939
120139
2305937
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(+.f64 x (fma.f64 -1 x -1))
(/.f64 (/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x)) x)
(/.f64 (+.f64 x (fma.f64 -1 x -1)) (+.f64 1 x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 x -1 -1))) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x 1) (+.f64 x (fma.f64 x -1 -1))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x x) (+.f64 x (fma.f64 x -1 -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 x (+.f64 x (fma.f64 x -1 -1))) (+.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 x -1 -1)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 x -1 -1))) 2) (*.f64 (cbrt.f64 (+.f64 x (fma.f64 x -1 -1))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (fma.f64 x -1 -1))) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x -1 -1))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (fma.f64 x -1 -1))) (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 x -1 -1))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (fma.f64 x -1 -1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (fma.f64 x -1 -1))) 1) (/.f64 (sqrt.f64 (+.f64 x (fma.f64 x -1 -1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (+.f64 x (fma.f64 x -1 -1)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 x -1 -1))) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (fma.f64 x -1 -1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x (fma.f64 x -1 -1))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 x (fma.f64 x -1 -1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 x -1 -1))) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x (fma.f64 x -1 -1))) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x (fma.f64 x -1 -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 x -1 -1)) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 1) (+.f64 x (fma.f64 x -1 -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 x -1 -1)) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x (fma.f64 x -1 -1))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x (fma.f64 x -1 -1))) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (fma.f64 x -1 -1)) (+.f64 x 1))))))))

simplify44.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
661×fma-neg_binary64
612×associate-*l*_binary64
506×cancel-sign-sub-inv_binary64
481×associate-*r*_binary64
440×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042389
1114384
2265375
3747375
42420375
Stop Event
1×node limit
Counts
193 → 185
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x)))
(fma.f64 x (+.f64 -1 x) (+.f64 1 (/.f64 -1 x)))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x)))
(-.f64 (/.f64 -1 x) (-.f64 x (fma.f64 x x 1)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))
-1
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1)
(+.f64 -1 (-.f64 x (*.f64 x x)))
(-.f64 x (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 -1 x)) (+.f64 -1 x))
(*.f64 (fma.f64 x x 1) (+.f64 -1 x))
(*.f64 (+.f64 -1 x) (fma.f64 x x 1))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.2%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize18.0ms (0.5%)

Local error

Found 6 expressions with local error:

NewErrorProgram
1.7b
(+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1))
0.0b
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 1 x)))
0.0b
(*.f64 (neg.f64 x) (+.f64 1 x))
✓0.0b
(*.f64 (neg.f64 x) (+.f64 1 x))
✓0.0b
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 1 x)))
✓1.7b
(+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite73.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
983×pow1_binary64
923×add-log-exp_binary64
923×log1p-expm1-u_binary64
923×expm1-log1p-u_binary64
100×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
121626
2335126
Stop Event
1×node limit
Counts
3 → 122
Calls
Call 1
Inputs
(+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1))
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 1 x)))
(*.f64 (neg.f64 x) (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 1 (+.f64 x x))) (/.f64 (*.f64 x x) (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 x) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2) (cbrt.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (sqrt.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (/.f64 1 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x)) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x x)) (pow.f64 (+.f64 1 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 1 x) 2) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (+.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2)) (+.f64 x (neg.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x x) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 1 x) 2)) (-.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (+.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 x x)) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))) 2) (cbrt.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))) (sqrt.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (*.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (neg.f64 (+.f64 1 x))) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) (+.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (+.f64 x x)) x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2) (+.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) x) (/.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 1 (+.f64 x x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2) x) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (+.f64 1 (+.f64 x x)) (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2) (sqrt.f64 (fma.f64 x x x))) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) (sqrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (+.f64 x x)) x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (+.f64 x x)) x) (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x x) (+.f64 1 (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 3) (pow.f64 (fma.f64 x x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) (log.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (+.f64 x x)) (fma.f64 x x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x x) (fma.f64 x 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 x x)) x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))))

simplify52.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
524×associate-*l*_binary64
502×distribute-neg-frac_binary64
418×fma-def_binary64
405×associate-/r*_binary64
387×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033321
185291
2193289
3514289
41634289
56480289
Stop Event
1×node limit
Counts
158 → 144
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 1 (+.f64 x (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))

localize15.0ms (0.4%)

Local error

Found 6 expressions with local error:

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

Compiled 32 to 23 computations (28.1% saved)

series6.0ms (0.2%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (/.f64 -1 x) x)
1.0ms
x
@0
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
0.0ms
x
@0
(/.f64 (/.f64 -1 x) x)
0.0ms
x
@0
(/.f64 1 (pow.f64 x 3))
0.0ms
x
@inf
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))

rewrite80.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
482×log-prod_binary64
356×fma-def_binary64
349×pow-prod-down_binary64
263×pow2_binary64
221×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01024
122924
2321921
Stop Event
1×node limit
Counts
3 → 172
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(/.f64 1 (pow.f64 x 3))
(/.f64 (/.f64 -1 x) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 x) -1/2) (*.f64 (pow.f64 (neg.f64 x) -1/2) (/.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 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (neg.f64 x) -1/2) 1) (/.f64 (pow.f64 (neg.f64 x) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (neg.f64 x) -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (neg.f64 x) -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 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 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (neg.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (neg.f64 x) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (pow.f64 x 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (neg.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))))

simplify54.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
625×associate-/r/_binary64
536×unswap-sqr_binary64
491×div-sub_binary64
365×fma-def_binary64
348×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012249
127249
250249
3104249
4247249
5997249
63474249
76998249
Stop Event
1×node limit
Counts
196 → 177
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.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 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.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))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))

eval307.0ms (8.8%)

Compiler

Compiled 8178 to 5415 computations (33.8% saved)

prune81.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New5015506
Fresh213
Picked101
Done325
Total5078515
Error
0b
Counts
515 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x)))
30.0b
(+.f64 (/.f64 1 (pow.f64 x 3)) (neg.f64 (pow.f64 x -2)))
▶0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
✓33.6b
(-.f64 1 (/.f64 1 x))
✓32.9b
(/.f64 -1 x)
▶30.0b
(/.f64 -1 (*.f64 x x))
▶30.2b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
▶29.9b
(/.f64 (/.f64 -1 x) x)
Compiler

Compiled 114 to 86 computations (24.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
0.0b
(/.f64 -1 (+.f64 1 x))
✓0.0b
(/.f64 -1 (+.f64 1 x))
✓0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite48.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
817×pow1_binary64
762×add-log-exp_binary64
761×log1p-expm1-u_binary64
761×expm1-log1p-u_binary64
747×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115117
2208217
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(/.f64 -1 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2) (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x -1) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 1 x))))))))

simplify32.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
661×fma-neg_binary64
612×associate-*l*_binary64
506×cancel-sign-sub-inv_binary64
481×associate-*r*_binary64
440×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042377
1114372
2265363
3747363
42420363
Stop Event
1×node limit
Counts
83 → 87
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x)))
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x)))
(-.f64 (/.f64 -1 x) (-.f64 x (fma.f64 x x 1)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))
-1
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1)
(+.f64 -1 (-.f64 x (*.f64 x x)))
(-.f64 x (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 -1 x)) (+.f64 -1 x))
(*.f64 (fma.f64 x x 1) (+.f64 -1 x))
(*.f64 (+.f64 -1 x) (fma.f64 x x 1))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 -1 x) x)
0.1b
(/.f64 (/.f64 -1 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 -1 (*.f64 x x))
✓0.2b
(/.f64 -1 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite36.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
458×pow1_binary64
443×add-sqr-sqrt_binary64
435×*-un-lft-identity_binary64
424×add-log-exp_binary64
424×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11026
212126
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(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 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 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 (neg.f64 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))))

simplify121.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1138×associate-/r*_binary64
1106×sqr-pow_binary64
561×cube-prod_binary64
553×fabs-mul_binary64
536×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
520984
675484
7196284
8212884
9231284
10252084
11281184
12320284
13368084
14424184
15492584
16575884
17615084
18643884
19671684
20679484
21682884
Stop Event
1×node limit
Counts
34 → 24
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x)))
0.0b
(*.f64 (neg.f64 x) (+.f64 1 x))
0.0b
(*.f64 (neg.f64 x) (+.f64 1 x))
✓0.2b
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x)))
Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite41.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
648×pow1_binary64
606×add-log-exp_binary64
605×log1p-expm1-u_binary64
605×expm1-log1p-u_binary64
593×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0712
11588
223298
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x x)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x))))))))

simplify40.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
490×distribute-neg-frac_binary64
434×associate-*l*_binary64
401×associate-/r*_binary64
364×distribute-rgt-neg-in_binary64
316×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031204
177201
2168199
3456199
41419199
55743199
Stop Event
1×node limit
Counts
37 → 40
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x)))
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (*.f64 x x))
0.1b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
✓0.1b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
✓0.2b
(/.f64 1 (*.f64 x x))
Compiler

Compiled 31 to 19 computations (38.7% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 1 (*.f64 x x))
0.0ms
x
@inf
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
0.0ms
x
@-inf
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
0.0ms
x
@0
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
0.0ms
x
@0
(/.f64 1 (*.f64 x x))

rewrite54.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
873×pow1_binary64
815×add-log-exp_binary64
812×log1p-expm1-u_binary64
812×expm1-log1p-u_binary64
798×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
119217
2257117
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 -1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(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 (/.f64 1 x) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) -1) (/.f64 -1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (/.f64 1 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 1 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 x))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (/.f64 -1 (pow.f64 x 3))) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -2) (/.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x -2)) (*.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (/.f64 1 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 -1 (/.f64 -1 (pow.f64 x 3)))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 (pow.f64 x 3)))) (*.f64 x (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1 (pow.f64 x -2))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -2))) (*.f64 x (+.f64 -1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (/.f64 -1 (pow.f64 x 3))) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 1 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x -2)) 1) (*.f64 (+.f64 -1 (/.f64 1 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (/.f64 -1 (pow.f64 x 3))) -1) (*.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 1 x))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x -2)) -1) (*.f64 (+.f64 -1 (/.f64 1 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (/.f64 -1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x -2)) (/.f64 1 x)) (*.f64 (+.f64 -1 (/.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (/.f64 1 x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1 (/.f64 1 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 1 x)) -1) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 1 x)) (/.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (/.f64 1 x)) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (/.f64 1 x)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (/.f64 -1 (pow.f64 x 3))) (pow.f64 x -2)) (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x -2)) (pow.f64 x -2)) (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (-.f64 -1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 x -2))) (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 -1 (/.f64 1 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 -1 (/.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) 3) (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 -1 (pow.f64 x 3)))))))))

simplify55.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
625×associate-/r/_binary64
536×unswap-sqr_binary64
492×div-sub_binary64
365×fma-def_binary64
348×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012249
127249
250249
3104249
4247249
51011249
63482249
76999249
Stop Event
1×node limit
Counts
94 → 77
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
Outputs
(/.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))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))

eval91.0ms (2.6%)

Compiler

Compiled 3529 to 2422 computations (31.4% saved)

prune42.0ms (1.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New3153318
Fresh101
Picked101
Done156
Total3188326
Error
0b
Counts
326 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.8b
(neg.f64 (pow.f64 x -2))
✓33.6b
(-.f64 1 (/.f64 1 x))
✓0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
✓32.9b
(/.f64 -1 x)
✓30.0b
(/.f64 -1 (*.f64 x x))
▶0.2b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
▶0.2b
(*.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)
✓29.9b
(/.f64 (/.f64 -1 x) x)
Compiler

Compiled 53 to 39 computations (26.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 28 to 11 computations (60.7% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite86.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
697×pow1_binary64
652×add-log-exp_binary64
651×log1p-expm1-u_binary64
651×expm1-log1p-u_binary64
637×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
113313
2187313
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 x (*.f64 x x)))
(+.f64 x (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) (sqrt.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 x x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))))

simplify53.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
497×distribute-neg-frac_binary64
453×associate-*l*_binary64
405×associate-/r*_binary64
364×distribute-rgt-neg-in_binary64
360×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032276
179255
2174253
3468253
41452253
55865253
Stop Event
1×node limit
Counts
85 → 80
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x)))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (*.f64 x x)))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (*.f64 x x)))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
0.0b
(*.f64 x (-.f64 -1 x))
✓0.0b
(*.f64 x (-.f64 -1 x))
✓0.2b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite48.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
731×pow1_binary64
681×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114617
2184617
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(*.f64 x (-.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (-.f64 -1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2)) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2) (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (-.f64 -1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 x) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) -1) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (-.f64 -1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.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 x (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) (pow.f64 (*.f64 x (-.f64 -1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) x) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1 x))))))))

simplify67.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
523×associate-*l*_binary64
502×distribute-neg-frac_binary64
418×fma-def_binary64
405×associate-/r*_binary64
386×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033309
185279
2193277
3514277
41634277
56468277
Stop Event
1×node limit
Counts
75 → 72
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1 (+.f64 (*.f64 x x) x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))

localize5.0ms (0.2%)

Compiler

Compiled 10 to 7 computations (30% saved)

eval40.0ms (1.1%)

Compiler

Compiled 1819 to 1254 computations (31.1% saved)

prune27.0ms (0.8%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1520152
Fresh000
Picked011
Done077
Total1528160
Error
0b
Counts
160 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.8b
(neg.f64 (pow.f64 x -2))
✓33.6b
(-.f64 1 (/.f64 1 x))
✓0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
✓32.9b
(/.f64 -1 x)
✓30.0b
(/.f64 -1 (*.f64 x x))
✓0.2b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
✓0.2b
(*.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)
✓29.9b
(/.f64 (/.f64 -1 x) x)
Compiler

Compiled 53 to 39 computations (26.4% saved)

regimes8.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (*.f64 x x))
(-.f64 1 (/.f64 1 x))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(*.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)
(neg.f64 (pow.f64 x -2))
Outputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 48 to 32 computations (33.3% saved)

regimes6.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (*.f64 x x))
(-.f64 1 (/.f64 1 x))
(/.f64 1 (*.f64 x (-.f64 -1 x)))
Outputs
(/.f64 1 (*.f64 x (-.f64 -1 x)))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes13.0ms (0.4%)

Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (*.f64 x x))
(-.f64 1 (/.f64 1 x))
Outputs
(/.f64 (/.f64 -1 x) x)
(-.f64 1 (/.f64 1 x))
(/.f64 (/.f64 -1 x) x)
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch57.0ms (1.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
38.0ms
0.4746383639257205
1416429.2864427764
18.0ms
-1252757.8383824243
-0.0037086005959082635
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes11.0ms (0.3%)

Accuracy

Total -59.5b remaining (-3633.3%)

Threshold costs -59.5b (-3633.3%)

Counts
3 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (*.f64 x x))
Outputs
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 x)
(/.f64 (/.f64 -1 x) x)
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch38.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.4746383639257205
1416429.2864427764
19.0ms
-1252757.8383824243
-0.0037086005959082635
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify15.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02387
13187
23987
34587
44987
55187
65287
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(if (<=.f64 x -5380553945660166/4294967296) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 8755532426901982208/18446744073709551616) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -5380553945660166/4294967296) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 8755532426901982208/18446744073709551616) (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(/.f64 -1 x)
Outputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(/.f64 1 (*.f64 x (-.f64 -1 x)))
(if (<=.f64 x -5380553945660166/4294967296) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 8755532426901982208/18446744073709551616) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -2690276972830083/2147483648) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 8550324635646467/18014398509481984) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -2690276972830083/2147483648) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 8550324635646467/18014398509481984) (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -5380553945660166/4294967296) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 8755532426901982208/18446744073709551616) (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -2690276972830083/2147483648) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 8550324635646467/18014398509481984) (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(/.f64 -1 x)

end45.0ms (1.3%)

Stop Event
1×done
Compiler

Compiled 128 to 90 computations (29.7% saved)

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