Details

Time bar (total: 6.3s)

analyze2.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample787.0ms (12.6%)

Results
770.0ms8256×body256valid

preprocess153.0ms (2.4%)

Algorithm
egg-herbie
Rules
601×unsub-neg_binary64
586×distribute-rgt-out--_binary64
492×fma-neg_binary64
434×distribute-neg-in_binary64
409×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11410
22110
33210
44910
5778
61318
73628
87388
915368
1028958
1143128
1252708
1355808
1458848
1559858
1660638
1763318
1872778
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 10 (-.f64 1 (*.f64 x x)))
Outputs
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 10 (fma.f64 x (neg.f64 x) 1))
(/.f64 -10 (fma.f64 x x -1))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify151.0ms (2.4%)

Algorithm
egg-herbie
Rules
601×unsub-neg_binary64
586×distribute-rgt-out--_binary64
492×fma-neg_binary64
434×distribute-neg-in_binary64
409×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0710
11410
22110
33210
44910
5778
61318
73628
87388
915368
1028958
1143128
1252708
1355808
1458848
1559858
1660638
1763318
1872778
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 10 (-.f64 1 (*.f64 x x)))
Outputs
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 10 (fma.f64 x (neg.f64 x) 1))
(/.f64 -10 (fma.f64 x x -1))

eval1.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
7.7b
(/.f64 10 (-.f64 1 (*.f64 x x)))
0.2b
(/.f64 -10 (fma.f64 x x -1))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 -10 (fma.f64 x x -1))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 -10 (fma.f64 x x -1))
1.0ms
x
@0
(/.f64 -10 (fma.f64 x x -1))
1.0ms
x
@-inf
(/.f64 -10 (fma.f64 x x -1))

rewrite41.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
549×pow1_binary64
512×add-log-exp_binary64
512×log1p-expm1-u_binary64
512×expm1-log1p-u_binary64
503×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11228
213708
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 -10 (fma.f64 x x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify46.0ms (0.7%)

Algorithm
egg-herbie
Rules
677×fma-def_binary64
437×distribute-rgt-out_binary64
413×unswap-sqr_binary64
354×distribute-neg-frac_binary64
255×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038226
1112210
2338206
31162203
44868200
Stop Event
node limit
Counts
32 → 35
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.f64 -10 (pow.f64 x 6))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.f64 -10 (pow.f64 x 6))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 10 (-.f64 1 (*.f64 x x)))
7.8b
(-.f64 1 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 1 (*.f64 x x))
0.0ms
x
@0
(-.f64 1 (*.f64 x x))
0.0ms
x
@inf
(/.f64 10 (-.f64 1 (*.f64 x x)))
0.0ms
x
@0
(/.f64 10 (-.f64 1 (*.f64 x x)))
0.0ms
x
@-inf
(/.f64 10 (-.f64 1 (*.f64 x x)))

rewrite54.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
736×pow1_binary64
694×add-log-exp_binary64
693×log1p-expm1-u_binary64
693×expm1-log1p-u_binary64
681×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115417
2192217
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(-.f64 1 (*.f64 x x))
(/.f64 10 (-.f64 1 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) 1)))) (#(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 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 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 cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))))) (#(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 (neg.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 10 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 10 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/10 (/.f64 (*.f64 x x) 10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))))

simplify47.0ms (0.7%)

Algorithm
egg-herbie
Rules
681×fma-def_binary64
437×distribute-rgt-out_binary64
413×unswap-sqr_binary64
361×distribute-neg-frac_binary64
258×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041320
1117286
2354282
31199279
44981276
Stop Event
node limit
Counts
74 → 70
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(*.f64 10 (fma.f64 x x 1))
(fma.f64 x (*.f64 x 10) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(fma.f64 10 (*.f64 x x) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6)))
(-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 4)))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6)))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6)))
(-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 4)))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6)))))

eval29.0ms (0.5%)

Compiler

Compiled 1239 to 893 computations (27.9% saved)

prune26.0ms (0.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New9114105
Fresh000
Picked011
Done011
Total9116107
Error
0.1b
Counts
107 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
7.7b
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
60.8b
(/.f64 -10 (*.f64 x x))
23.6b
(pow.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 3) 1/3)
0.6b
(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
7.7b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
18.7b
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
7.8b
(/.f64 10 (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x)))))
57.5b
10
0.2b
(/.f64 -10 (fma.f64 x x -1))
0.3b
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
1.3b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
19.4b
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
7.7b
(/.f64 10 (-.f64 1 (*.f64 x x)))
18.2b
(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
0.4b
(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
1.3b
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
Compiler

Compiled 307 to 231 computations (24.8% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (fma.f64 x x -1))
0.3b
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
Compiler

Compiled 23 to 16 computations (30.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
0.0ms
x
@inf
(/.f64 1 (fma.f64 x x -1))
0.0ms
x
@0
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
0.0ms
x
@0
(/.f64 1 (fma.f64 x x -1))
0.0ms
x
@-inf
(/.f64 1 (fma.f64 x x -1))

rewrite48.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
637×pow1_binary64
591×add-log-exp_binary64
590×log1p-expm1-u_binary64
590×expm1-log1p-u_binary64
580×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
115416
2164116
Stop Event
node limit
Counts
2 → 36
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
(/.f64 1 (fma.f64 x x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x -1) -10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -1/2) (pow.f64 (fma.f64 x x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1))))))))

simplify56.0ms (0.9%)

Algorithm
egg-herbie
Rules
546×fma-neg_binary64
413×unswap-sqr_binary64
394×sub-neg_binary64
356×distribute-neg-frac_binary64
331×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052438
1156414
2468406
31574406
46068406
Stop Event
node limit
Counts
60 → 66
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1)
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 x (*.f64 10 x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(+.f64 10 (*.f64 10 (fma.f64 x x (pow.f64 x 4))))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6))))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) -1 -1)
(-.f64 -1 (*.f64 x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -1 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -1 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 -1 (fma.f64 x x (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 6) (*.f64 -1 (+.f64 (*.f64 x x) (pow.f64 x 4)))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 6)))
(-.f64 (-.f64 -1 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 6))
(-.f64 -1 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 6)))))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 -10 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -10 (*.f64 x x))
0.0ms
x
@inf
(/.f64 -10 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 -10 (*.f64 x x))

rewrite39.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
498×pow1_binary64
491×add-sqr-sqrt_binary64
470×add-log-exp_binary64
470×log1p-expm1-u_binary64
470×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11097
213247
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 -10 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -10 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -10 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -10 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -10 (pow.f64 x -2))) (cbrt.f64 (/.f64 100 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 100 (pow.f64 x 4))) (cbrt.f64 (*.f64 -10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -10) x) (/.f64 (sqrt.f64 -10) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -10 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -10 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -10 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -10) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -10) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -10 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -10 (pow.f64 x -2))))))))

simplify151.0ms (2.4%)

Algorithm
egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
node limit
Counts
33 → 23
Calls
Call 1
Inputs
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
Outputs
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
0.4b
(*.f64 (fma.f64 x x -1) -1/10)
Compiler

Compiled 22 to 15 computations (31.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
1.0ms
x
@0
(*.f64 (fma.f64 x x -1) -1/10)
0.0ms
x
@-inf
(*.f64 (fma.f64 x x -1) -1/10)
0.0ms
x
@inf
(*.f64 (fma.f64 x x -1) -1/10)
0.0ms
x
@inf
(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)

rewrite52.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
637×pow1_binary64
598×add-log-exp_binary64
598×log1p-expm1-u_binary64
598×expm1-log1p-u_binary64
585×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
114616
2162816
Stop Event
node limit
Counts
2 → 36
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x -1) -1/10)
(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -1/10) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/10 (*.f64 x x)) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 x x -1) -1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/100 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/10) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2)) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x -1) -1/10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2)) (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify48.0ms (0.8%)

Algorithm
egg-herbie
Rules
679×fma-def_binary64
437×distribute-rgt-out_binary64
413×unswap-sqr_binary64
358×distribute-neg-frac_binary64
255×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042331
1118297
2350293
31185290
44932287
Stop Event
node limit
Counts
60 → 56
Calls
Call 1
Inputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
Outputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (*.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (*.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (*.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (*.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (*.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (*.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (*.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (*.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (*.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (*.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (*.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(*.f64 10 (fma.f64 x x 1))
(fma.f64 x (*.f64 x 10) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(fma.f64 10 (*.f64 x x) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 8))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 8))))

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (/.f64 -10 (fma.f64 x x -1)))
0.2b
(/.f64 -10 (fma.f64 x x -1))
1.2b
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
Compiler

Compiled 29 to 20 computations (31% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(log.f64 (/.f64 -10 (fma.f64 x x -1)))
1.0ms
x
@0
(log.f64 (/.f64 -10 (fma.f64 x x -1)))
0.0ms
x
@-inf
(log.f64 (/.f64 -10 (fma.f64 x x -1)))
0.0ms
x
@0
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
0.0ms
x
@inf
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))

rewrite55.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
626×pow1_binary64
582×add-log-exp_binary64
582×log1p-expm1-u_binary64
582×expm1-log1p-u_binary64
571×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
114718
2156718
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
(log.f64 (/.f64 -10 (fma.f64 x x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 -10 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (neg.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x -1) -1/10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -10) (neg.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)) (log.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -10) (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 10) (log.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 -10) 3) (pow.f64 (log.f64 (fma.f64 x x -1)) 3)) (+.f64 (*.f64 (log.f64 -10) (log.f64 -10)) (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (fma.f64 x x -1))) (*.f64 (log.f64 -10) (log.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 -10) (log.f64 -10)) (*.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (fma.f64 x x -1)))) (+.f64 (log.f64 -10) (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 -10 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))))

simplify55.0ms (0.9%)

Algorithm
egg-herbie
Rules
413×unswap-sqr_binary64
359×distribute-neg-frac_binary64
348×associate-*l*_binary64
338×associate-/r*_binary64
303×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073489
1209459
2604453
31905453
45934453
Stop Event
node limit
Counts
80 → 94
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(log.f64 10)
(+.f64 (log.f64 10) (pow.f64 x 2))
(+.f64 (log.f64 10) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 (log.f64 10) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10))
(+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (log.f64 -10)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (log.f64 -10))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (log.f64 -10)))))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(fma.f64 x (*.f64 10 x) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 8))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 8))))
(log.f64 10)
(+.f64 (log.f64 10) (pow.f64 x 2))
(+.f64 (*.f64 x x) (log.f64 10))
(fma.f64 x x (log.f64 10))
(+.f64 (log.f64 10) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 (log.f64 10) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/2)))
(+.f64 (log.f64 10) (fma.f64 x x (*.f64 (pow.f64 x 4) 1/2)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 1/2 (log.f64 10)))
(fma.f64 (pow.f64 x 4) 1/2 (fma.f64 x x (log.f64 10)))
(+.f64 (log.f64 10) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 10) (+.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/3))))
(+.f64 (fma.f64 x x (log.f64 10)) (fma.f64 (pow.f64 x 6) 1/3 (*.f64 (pow.f64 x 4) 1/2)))
(+.f64 (log.f64 10) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/3 (*.f64 (pow.f64 x 4) 1/2))))
(+.f64 (log.f64 10) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/2 (*.f64 (pow.f64 x 6) 1/3))))
(+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -10) (*.f64 2 (neg.f64 (log.f64 x))))
(fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))
(+.f64 (log.f64 -10) (*.f64 (log.f64 x) -2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (log.f64 -10) (*.f64 2 (neg.f64 (log.f64 x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (log.f64 -10) (*.f64 (log.f64 x) -2)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (log.f64 -10) (*.f64 2 (neg.f64 (log.f64 x))))) (/.f64 1/2 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (log.f64 -10) (+.f64 (*.f64 (log.f64 x) -2) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))))
(+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (log.f64 -10) (*.f64 2 (neg.f64 (log.f64 x)))) (/.f64 1/3 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)) (/.f64 1/2 (pow.f64 x 4)))) (/.f64 1/3 (pow.f64 x 6)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (log.f64 x) -2) (+.f64 (log.f64 -10) (+.f64 (/.f64 1/3 (pow.f64 x 6)) (/.f64 1/2 (pow.f64 x 4))))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (log.f64 -10) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (*.f64 (log.f64 x) -2) (/.f64 1/3 (pow.f64 x 6))))))
(+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10))
(fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10))
(+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (log.f64 -10)))
(fma.f64 2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (log.f64 -10)))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (log.f64 -10))))
(+.f64 (/.f64 1/2 (pow.f64 x 4)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (log.f64 -10))))
(+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (log.f64 -10) (fma.f64 2 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (log.f64 -10)))))
(+.f64 (/.f64 1/2 (pow.f64 x 4)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (log.f64 -10) (/.f64 1/3 (pow.f64 x 6))))))
(+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10))) (/.f64 1/3 (pow.f64 x 6))))
(+.f64 (log.f64 -10) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1/3 (pow.f64 x 6)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 x x))))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1/3 (pow.f64 x 6)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10)))))

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 -10 (fma.f64 x x -1))
0.5b
(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))
0.8b
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
Compiler

Compiled 31 to 22 computations (29% saved)

series10.0ms (0.2%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
1.0ms
x
@0
(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))
1.0ms
x
@inf
(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))

rewrite64.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
728×pow1_binary64
689×add-log-exp_binary64
689×log1p-expm1-u_binary64
689×expm1-log1p-u_binary64
675×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119118
2189918
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) (*.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) 1) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (neg.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x -1) -1/10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 -10) 3) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 -10)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -10) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -10) (pow.f64 (/.f64 1 (fma.f64 x x -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -10) (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 1/3) (pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 -10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -10) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 10) (cbrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 -10)) (neg.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))))

simplify43.0ms (0.7%)

Algorithm
egg-herbie
Rules
807×associate-*l/_binary64
646×associate-*r/_binary64
514×associate-/r/_binary64
396×distribute-rgt-in_binary64
394×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079421
1202372
2635358
33056286
Stop Event
node limit
Counts
68 → 75
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 (+.f64 40/9 (*.f64 (+.f64 (*.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (*.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (+.f64 (*.f64 (+.f64 40/9 (*.f64 (+.f64 (*.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (*.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (*.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 40/27 (+.f64 (*.f64 -10/3 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (*.f64 (+.f64 (*.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 2/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))))) (pow.f64 x 6)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 -10))
(+.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (*.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))) (pow.f64 (cbrt.f64 -1) 2))))))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(fma.f64 x (*.f64 10 x) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 (+.f64 40/9 (*.f64 (+.f64 (*.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (*.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 (+.f64 40/9 (*.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (/.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 -10) 2)) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (cbrt.f64 -10) (cbrt.f64 -1)))) (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 (fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (*.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (*.f64 (cbrt.f64 -1) -1)))) (*.f64 (cbrt.f64 -10) (cbrt.f64 -1)) 40/9) (pow.f64 x 4) 10))
(fma.f64 (fma.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -10) (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9))) 40/9) (pow.f64 x 4) (*.f64 10 (fma.f64 x x 1)))
(fma.f64 (fma.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -10) (*.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9)) 40/9) (pow.f64 x 4) (fma.f64 x (*.f64 10 x) 10))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (+.f64 (*.f64 (+.f64 40/9 (*.f64 (+.f64 (*.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (*.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (*.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 40/27 (+.f64 (*.f64 -10/3 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (*.f64 (+.f64 (*.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 2/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (fma.f64 (+.f64 40/9 (*.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (/.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 -10) 2)) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (cbrt.f64 -10) (cbrt.f64 -1)))) (pow.f64 x 4) (*.f64 (fma.f64 -1/3 (/.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (/.f64 (*.f64 1/9 (pow.f64 (cbrt.f64 -10) 2)) (pow.f64 (cbrt.f64 -1) 4))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -10))) (+.f64 40/27 (fma.f64 -10/3 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (*.f64 (*.f64 (cbrt.f64 -10) (cbrt.f64 -1)) (fma.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)) (*.f64 2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (/.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -10) 2))))))))) (pow.f64 x 6))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (fma.f64 (fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (*.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (*.f64 (cbrt.f64 -1) -1)))) (*.f64 (cbrt.f64 -10) (cbrt.f64 -1)) 40/9) (pow.f64 x 4) (*.f64 (fma.f64 -1/3 (/.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (*.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (*.f64 (cbrt.f64 -1) -1)))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -10))) (+.f64 (*.f64 (*.f64 (cbrt.f64 -10) (cbrt.f64 -1)) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (*.f64 (cbrt.f64 -1) -1)) 4/27 (/.f64 (*.f64 -28/81 (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1)))) 260/81)) (pow.f64 x 6))))
(fma.f64 10 (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -10) (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9))) 40/9) (pow.f64 x 4) (fma.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 -10) (/.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9)) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 -10) (*.f64 (cbrt.f64 -1) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (neg.f64 (cbrt.f64 -1))) 4/27 (*.f64 (/.f64 -28/81 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -10) 2)))) 260/81)) (pow.f64 x 6) 10)))
(fma.f64 10 (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -10) (*.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9)) 40/9) (pow.f64 x 4) (fma.f64 (+.f64 260/81 (*.f64 (cbrt.f64 -10) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (cbrt.f64 -10) 2) (+.f64 (/.f64 4/27 (neg.f64 (cbrt.f64 -1))) (/.f64 -28/81 (cbrt.f64 -1)))))))) (pow.f64 x 6) 10)))
(*.f64 (cbrt.f64 -1) (cbrt.f64 -10))
(*.f64 (cbrt.f64 -10) (cbrt.f64 -1))
(+.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (*.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -10) (*.f64 -1/3 (/.f64 (*.f64 (*.f64 x x) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (/.f64 (*.f64 (cbrt.f64 -10) -1/3) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 x x))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (*.f64 x (*.f64 x (cbrt.f64 -10))) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (/.f64 (*.f64 (cbrt.f64 -10) (*.f64 (*.f64 x x) -1/3)) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -10) (fma.f64 -1/3 (/.f64 (*.f64 (*.f64 x x) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x)) (*.f64 -2/9 (*.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 4)))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (*.f64 x (*.f64 x (cbrt.f64 -10))) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -2/9 (*.f64 (pow.f64 x 4) (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (*.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 (*.f64 x x) -1/3) (*.f64 (pow.f64 x 4) -2/9))))
(+.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -10) (fma.f64 -1/3 (/.f64 (*.f64 (*.f64 x x) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))))))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x)) (fma.f64 -2/9 (*.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 4)) (/.f64 (*.f64 -14/81 (*.f64 (cbrt.f64 -10) (pow.f64 x 6))) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (*.f64 x (*.f64 x (cbrt.f64 -10))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -2/9 (*.f64 (pow.f64 x 4) (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (/.f64 -14/81 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))))))
(+.f64 (*.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 (*.f64 x x) -1/3) (*.f64 (pow.f64 x 4) -2/9))) (*.f64 (cbrt.f64 -10) (+.f64 (cbrt.f64 -1) (*.f64 (/.f64 -14/81 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6)))))

eval133.0ms (2.1%)

Compiler

Compiled 5111 to 4145 computations (18.9% saved)

prune71.0ms (1.1%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New36816384
Fresh639
Picked011
Done156
Total37525400
Error
0b
Counts
400 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
18.7b
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
19.4b
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
0.5b
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
7.7b
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
60.8b
(/.f64 -10 (*.f64 x x))
45.9b
(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
7.7b
(/.f64 10 (-.f64 1 (*.f64 x x)))
18.2b
(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
46.1b
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
0.3b
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
19.7b
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -10 (fma.f64 x x -1))))
1.3b
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
1.4b
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3)
0.8b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2)) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
57.5b
10
0.6b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -10)
0.2b
(/.f64 -10 (fma.f64 x x -1))
0.3b
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
1.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -10)
60.8b
(/.f64 (/.f64 -10 x) x)
0.4b
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
1.3b
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3) -1)
7.7b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
7.8b
(/.f64 10 (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x)))))
6.8b
(pow.f64 (fma.f64 x (*.f64 -1/10 x) 1/10) -1)
Compiler

Compiled 461 to 353 computations (23.4% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (fma.f64 x x -1) -10)
0.3b
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
Compiler

Compiled 23 to 16 computations (30.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
0.0ms
x
@inf
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
0.0ms
x
@-inf
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
0.0ms
x
@-inf
(/.f64 (fma.f64 x x -1) -10)
0.0ms
x
@inf
(/.f64 (fma.f64 x x -1) -10)

rewrite52.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
693×pow1_binary64
649×add-log-exp_binary64
648×log1p-expm1-u_binary64
648×expm1-log1p-u_binary64
637×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
116316
2182716
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
(/.f64 (fma.f64 x x -1) -10)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (fma.f64 x x -1) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) 10)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 x x -1) -1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) -1/10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -1) -1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1)) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (sqrt.f64 (fma.f64 x x -1)) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x -1)) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -1) 10))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))

simplify48.0ms (0.8%)

Algorithm
egg-herbie
Rules
683×fma-def_binary64
437×distribute-rgt-out_binary64
413×unswap-sqr_binary64
359×distribute-neg-frac_binary64
257×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042331
1118297
2350293
31185290
44923287
Stop Event
node limit
Counts
70 → 66
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 x (*.f64 10 x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (-.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 10 (pow.f64 x 6))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (-.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 10 (pow.f64 x 6))))
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 (*.f64 x x) -1/10))
(fma.f64 (*.f64 x x) -1/10 1/10)
(fma.f64 x (*.f64 x -1/10) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 (*.f64 x x) -1/10))
(fma.f64 (*.f64 x x) -1/10 1/10)
(fma.f64 x (*.f64 x -1/10) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 (*.f64 x x) -1/10))
(fma.f64 (*.f64 x x) -1/10 1/10)
(fma.f64 x (*.f64 x -1/10) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/10)
(*.f64 x (*.f64 x -1/10))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 (*.f64 x x) -1/10))
(fma.f64 (*.f64 x x) -1/10 1/10)
(fma.f64 x (*.f64 x -1/10) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 (*.f64 x x) -1/10))
(fma.f64 (*.f64 x x) -1/10 1/10)
(fma.f64 x (*.f64 x -1/10) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 (*.f64 x x) -1/10))
(fma.f64 (*.f64 x x) -1/10 1/10)
(fma.f64 x (*.f64 x -1/10) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/10)
(*.f64 x (*.f64 x -1/10))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 (*.f64 x x) -1/10))
(fma.f64 (*.f64 x x) -1/10 1/10)
(fma.f64 x (*.f64 x -1/10) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 (*.f64 x x) -1/10))
(fma.f64 (*.f64 x x) -1/10 1/10)
(fma.f64 x (*.f64 x -1/10) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 (*.f64 x x) -1/10))
(fma.f64 (*.f64 x x) -1/10 1/10)
(fma.f64 x (*.f64 x -1/10) 1/10)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (/.f64 -10 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (/.f64 -10 x) x)
0.0ms
x
@inf
(/.f64 (/.f64 -10 x) x)
0.0ms
x
@-inf
(/.f64 (/.f64 -10 x) x)

rewrite45.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
581×pow1_binary64
547×add-log-exp_binary64
547×log1p-expm1-u_binary64
547×expm1-log1p-u_binary64
537×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11127
214807
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (/.f64 -10 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -10 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 x)) 2) (*.f64 (cbrt.f64 (/.f64 -10 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -10) x) (/.f64 (sqrt.f64 -10) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 x)) (*.f64 (sqrt.f64 (/.f64 -10 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -10 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -10 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -10 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -10 x)) 1) (/.f64 (sqrt.f64 (/.f64 -10 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -10 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -10 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -10 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -10 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -10 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -10 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -10 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -10) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -10 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -10 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (*.f64 x x))))))))

simplify151.0ms (2.4%)

Algorithm
egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
node limit
Counts
47 → 37
Calls
Call 1
Inputs
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
Outputs
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (fma.f64 x x -1))
0.4b
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
Compiler

Compiled 23 to 16 computations (30.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
0.0ms
x
@-inf
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
0.0ms
x
@inf
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)

rewrite75.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
689×pow1_binary64
645×add-log-exp_binary64
644×log1p-expm1-u_binary64
644×expm1-log1p-u_binary64
634×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11638
218328
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) -10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -1/2) (*.f64 (pow.f64 (fma.f64 x x -1) -1/2) -10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x -1)) 10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (fma.f64 x x -1)) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify53.0ms (0.8%)

Algorithm
egg-herbie
Rules
677×fma-def_binary64
437×distribute-rgt-out_binary64
413×unswap-sqr_binary64
354×distribute-neg-frac_binary64
255×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038226
1112210
2338206
31162203
44868200
Stop Event
node limit
Counts
35 → 38
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.f64 -10 (pow.f64 x 6))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.f64 -10 (pow.f64 x 6))))

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (fma.f64 x x -1))
0.1b
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
0.3b
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1))))
Compiler

Compiled 35 to 24 computations (31.4% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1))))
1.0ms
x
@0
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1))))
1.0ms
x
@inf
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1))))
1.0ms
x
@inf
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
0.0ms
x
@-inf
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)

rewrite61.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
596×pow1_binary64
553×add-log-exp_binary64
550×log1p-expm1-u_binary64
550×expm1-log1p-u_binary64
543×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
117220
2194120
Stop Event
node limit
Counts
3 → 75
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
(log.f64 (fma.f64 x x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 x x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 1 (*.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (-.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 x x -1) -10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -10) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -1) -10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -1) -10)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (log.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (log.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 x x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 2) (neg.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1))) (sqrt.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log.f64 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (fma.f64 x x -1)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (fma.f64 x x -1)) 2) (*.f64 0 (log.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (fma.f64 x x -1)) 2)) (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 x x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 x x -1))))))))

simplify79.0ms (1.3%)

Algorithm
egg-herbie
Rules
535×fma-def_binary64
421×associate-/l*_binary64
351×associate-+l+_binary64
301×associate-/l/_binary64
262×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0991093
1292845
2896660
32734571
47483571
Stop Event
node limit
Counts
111 → 137
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (log.f64 -1)))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2)) (exp.f64 (neg.f64 (log.f64 -1))))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 4))))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 6)) (+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 4)))))
(exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))
(+.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)) (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 6)) (+.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)) (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 4)))))
(exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(+.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)) (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 4))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6)) (+.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)) (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))))
(*.f64 -10 (exp.f64 (neg.f64 (log.f64 -1))))
(+.f64 (*.f64 -10 (exp.f64 (neg.f64 (log.f64 -1)))) (*.f64 -10 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2))))
(+.f64 (*.f64 -10 (exp.f64 (neg.f64 (log.f64 -1)))) (+.f64 (*.f64 -10 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2))) (*.f64 -10 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 4)))))
(+.f64 (*.f64 -10 (exp.f64 (neg.f64 (log.f64 -1)))) (+.f64 (*.f64 -10 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 6))) (+.f64 (*.f64 -10 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2))) (*.f64 -10 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 4))))))
(*.f64 -10 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (*.f64 -10 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (*.f64 -10 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))))))
(+.f64 (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (*.f64 -10 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x)))))))))
(*.f64 -10 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 -10 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))
(+.f64 (*.f64 -10 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))) (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))))
(+.f64 (*.f64 -10 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))) (+.f64 (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 4))) (*.f64 -10 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))))))
(log.f64 -1)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (log.f64 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (log.f64 -1)))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (log.f64 -1))))
(*.f64 -2 (log.f64 (/.f64 1 x)))
(-.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(*.f64 -2 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
Outputs
(exp.f64 (neg.f64 (log.f64 -1)))
-1
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2)) (exp.f64 (neg.f64 (log.f64 -1))))
(fma.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 x x) (exp.f64 (neg.f64 (log.f64 -1))))
(fma.f64 -1 (*.f64 x x) -1)
(-.f64 -1 (*.f64 x x))
(neg.f64 (fma.f64 x x 1))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 4))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 x x) (exp.f64 (neg.f64 (log.f64 -1)))) (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 4)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) -1))
(fma.f64 -1 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 -1 (fma.f64 x x (pow.f64 x 4)))
(+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 6)) (+.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 4)))))
(fma.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 6) (+.f64 (fma.f64 (exp.f64 (neg.f64 (log.f64 -1))) (*.f64 x x) (exp.f64 (neg.f64 (log.f64 -1)))) (*.f64 (exp.f64 (neg.f64 (log.f64 -1))) (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 6) (fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) -1)))
(fma.f64 -1 (pow.f64 x 6) (fma.f64 -1 (fma.f64 x x (pow.f64 x 4)) -1))
(-.f64 (-.f64 -1 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 6))
(-.f64 -1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 2 (neg.f64 (log.f64 x))))
(pow.f64 (exp.f64 -2) (log.f64 x))
(pow.f64 x -2)
(+.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))
(+.f64 (exp.f64 (*.f64 2 (neg.f64 (log.f64 x)))) (/.f64 (exp.f64 (*.f64 2 (neg.f64 (log.f64 x)))) (*.f64 x x)))
(+.f64 (pow.f64 (exp.f64 -2) (log.f64 x)) (/.f64 (pow.f64 (exp.f64 -2) (log.f64 x)) (*.f64 x x)))
(+.f64 (pow.f64 x -2) (/.f64 (pow.f64 x -2) (*.f64 x x)))
(+.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 x 4)))
(+.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)) (/.f64 (exp.f64 (neg.f64 (*.f64 -2 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))))
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(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1/2 (pow.f64 x 4)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 4))) (pow.f64 x -2))
(-.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 1/3 (pow.f64 x 6))))
(+.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 4))) (pow.f64 x -2)) (/.f64 -1/3 (pow.f64 x 6)))

localize42.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))
0.4b
(*.f64 (fma.f64 x x -1) -1/10)
0.6b
(cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))
0.8b
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3)
Compiler

Compiled 43 to 32 computations (25.6% saved)

series15.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3)
3.0ms
x
@-inf
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3)
2.0ms
x
@inf
(/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))
2.0ms
x
@0
(cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))
2.0ms
x
@inf
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3)

rewrite69.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
881×pow1_binary64
831×add-log-exp_binary64
829×log1p-expm1-u_binary64
829×expm1-log1p-u_binary64
812×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01139
122434
2235134
Stop Event
node limit
Counts
3 → 75
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3)
(cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))
(/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (fma.f64 x x -1) -1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2) (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -3/2) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2)) 3) (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2) 1) (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x -1) -1/10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2) (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2)) (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2) 1) (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2) -1) (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (fma.f64 x x -1) 2) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (fma.f64 x x -1) -1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/10) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1/6) (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (/.f64 1 (cbrt.f64 -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1/6) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2)) (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1) (pow.f64 (cbrt.f64 -1/10) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1/6) -1) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (fma.f64 x x -1) -1/10)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))))

simplify51.0ms (0.8%)

Algorithm
egg-herbie
Rules
603×associate-+l+_binary64
480×associate-+r+_binary64
412×times-frac_binary64
376×associate-/r*_binary64
325×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
099583
1273536
2940504
34608455
Stop Event
node limit
Counts
87 → 97
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 4/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (cbrt.f64 -1)))))) (cbrt.f64 -1/10)) 40/9) (pow.f64 x 4)) 10))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 4/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (cbrt.f64 -1)))))) (cbrt.f64 -1/10)) 40/9) (pow.f64 x 4)) (+.f64 10 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 4/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (cbrt.f64 -1))))) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/27 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 2/3 (/.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (cbrt.f64 -1))))) (cbrt.f64 -1)) (cbrt.f64 -1/10)) (+.f64 40/27 (*.f64 -10/3 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9))))) (pow.f64 x 6)))))
(*.f64 (cbrt.f64 -1/10) (cbrt.f64 -1))
(+.f64 (*.f64 (cbrt.f64 -1/10) (cbrt.f64 -1)) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (*.f64 (cbrt.f64 -1/10) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (*.f64 5/81 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (*.f64 (cbrt.f64 -1/10) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 5))))))
(/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 x 6)) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))))))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 4/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (cbrt.f64 -1)))))) (cbrt.f64 -1/10)) 40/9) (pow.f64 x 4)) 10))
(fma.f64 10 (*.f64 x x) (fma.f64 (+.f64 (/.f64 (cbrt.f64 -1) (/.f64 (cbrt.f64 -1/10) (-.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4))) (/.f64 4/9 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2)))))) 40/9) (pow.f64 x 4) 10))
(fma.f64 10 (*.f64 x x) (fma.f64 (+.f64 (*.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) (+.f64 (/.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1/10) 2)) (*.f64 (cbrt.f64 -1) -1)) (/.f64 -4/9 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2))))) 40/9) (pow.f64 x 4) 10))
(fma.f64 (fma.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) (+.f64 (/.f64 (/.f64 -1/9 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -1/10) 2)) (/.f64 -4/9 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2)))) 40/9) (pow.f64 x 4) (*.f64 10 (fma.f64 x x 1)))
(fma.f64 (fma.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) (*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/10) 2)) (cbrt.f64 -1)) -5/9) 40/9) (pow.f64 x 4) (*.f64 10 (fma.f64 x x 1)))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 4/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (cbrt.f64 -1)))))) (cbrt.f64 -1/10)) 40/9) (pow.f64 x 4)) (+.f64 10 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 4/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (cbrt.f64 -1))))) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/27 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 2/3 (/.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (cbrt.f64 -1))))) (cbrt.f64 -1)) (cbrt.f64 -1/10)) (+.f64 40/27 (*.f64 -10/3 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9))))) (pow.f64 x 6)))))
(fma.f64 10 (*.f64 x x) (+.f64 (fma.f64 (+.f64 (/.f64 (cbrt.f64 -1) (/.f64 (cbrt.f64 -1/10) (-.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4))) (/.f64 4/9 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2)))))) 40/9) (pow.f64 x 4) 10) (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4))) (/.f64 4/9 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2)))) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (/.f64 (+.f64 (/.f64 4/27 (*.f64 (pow.f64 (cbrt.f64 -1/10) 2) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2))))) (/.f64 (cbrt.f64 -1/10) (cbrt.f64 -1))) (+.f64 40/27 (*.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) -10/3)))) (pow.f64 x 6))))
(fma.f64 10 (*.f64 x x) (fma.f64 (+.f64 (*.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) (+.f64 (/.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1/10) 2)) (*.f64 (cbrt.f64 -1) -1)) (/.f64 -4/9 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2))))) 40/9) (pow.f64 x 4) (fma.f64 (fma.f64 -1/3 (/.f64 (+.f64 (/.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1/10) 2)) (*.f64 (cbrt.f64 -1) -1)) (/.f64 -4/9 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2)))) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 4/27 (*.f64 (cbrt.f64 -1) -1)) (pow.f64 (cbrt.f64 -1/10) 2)) (/.f64 -28/81 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2)))) (cbrt.f64 -1/10)) (cbrt.f64 -1)) 260/81)) (pow.f64 x 6) 10)))
(fma.f64 10 (*.f64 x x) (fma.f64 (fma.f64 -1/3 (/.f64 (-.f64 (/.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1/10) 2)) 1) (/.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 -1/10) 2)) -1)) (cbrt.f64 -1/10)) (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 -4/27 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -1/10) 2)) (/.f64 -28/81 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2)))) (cbrt.f64 -1/10)) (cbrt.f64 -1) 260/81)) (pow.f64 x 6) (fma.f64 (fma.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) (+.f64 (/.f64 (/.f64 -1/9 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -1/10) 2)) (/.f64 -4/9 (*.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/10) 2)))) 40/9) (pow.f64 x 4) 10)))
(fma.f64 10 (*.f64 x x) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 -4/27 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -1/10) 2)) (/.f64 (/.f64 -28/81 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -1/10) 2))) (cbrt.f64 -1/10)) (cbrt.f64 -1) (+.f64 290/81 (*.f64 -1/3 (/.f64 -4/9 (pow.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) 3))))) (pow.f64 x 6) (fma.f64 (fma.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) (*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/10) 2)) (cbrt.f64 -1)) -5/9) 40/9) (pow.f64 x 4) 10)))
(*.f64 (cbrt.f64 -1/10) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))
(+.f64 (*.f64 (cbrt.f64 -1/10) (cbrt.f64 -1)) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (cbrt.f64 -1/10) (cbrt.f64 -1) (*.f64 1/3 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 x x)))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -1/10) (*.f64 1/3 (*.f64 (/.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -1/10) (*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -1/10) (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/10) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x)))
(+.f64 (*.f64 (cbrt.f64 -1/10) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 5)))))
(fma.f64 (cbrt.f64 -1/10) (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 x x))) (*.f64 -1/9 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4))))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -1/10) (fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x)) (*.f64 -1/9 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4))))))
(fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/9 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -1/10) (fma.f64 -1/9 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4))) (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/10) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x))))
(+.f64 (*.f64 5/81 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (*.f64 (cbrt.f64 -1/10) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 5/81 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 8) (pow.f64 x 6))) (fma.f64 (cbrt.f64 -1/10) (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 x x))) (*.f64 -1/9 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4)))))))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cbrt.f64 -1) 8) (cbrt.f64 -1/10))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 -1/10) (fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x)) (*.f64 -1/9 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4)))))))
(fma.f64 5/81 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1/10)) (fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/9 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -1/10) (fma.f64 5/81 (*.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/9 (/.f64 (cbrt.f64 -1/10) (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4))) (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/10) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x)))))
(/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)))
(fma.f64 -1/3 (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)))
(fma.f64 -1/3 (/.f64 (/.f64 x (/.f64 (cbrt.f64 -1/10) x)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)))
(fma.f64 -1/3 (*.f64 (/.f64 x (cbrt.f64 -1/10)) (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)))
(fma.f64 -1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 x (cbrt.f64 -1/10)))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))))
(fma.f64 -1/3 (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))))
(fma.f64 -1/3 (/.f64 (/.f64 x (/.f64 (cbrt.f64 -1/10) x)) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))))
(fma.f64 -1/3 (*.f64 (/.f64 x (cbrt.f64 -1/10)) (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -2/9 (/.f64 (/.f64 (pow.f64 x 4) (cbrt.f64 -1/10)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))))
(+.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) (*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (/.f64 -1/3 (cbrt.f64 -1/10)) (/.f64 (*.f64 (*.f64 x x) -2/9) (cbrt.f64 -1/10)))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 x 6)) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 -1/3 (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))) (*.f64 1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (/.f64 (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6))))))
(+.f64 (fma.f64 -1/3 (/.f64 (/.f64 x (/.f64 (cbrt.f64 -1/10) x)) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)))) (/.f64 (*.f64 -14/81 (pow.f64 x 6)) (*.f64 (cbrt.f64 -1/10) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 -1/3 (*.f64 (/.f64 x (cbrt.f64 -1/10)) (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -2/9 (/.f64 (/.f64 (pow.f64 x 4) (cbrt.f64 -1/10)) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 -14/81 (cbrt.f64 -1/10)) (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10)))))
(+.f64 (fma.f64 (/.f64 -14/81 (cbrt.f64 -1/10)) (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (cbrt.f64 -1) (cbrt.f64 -1/10))) (*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (/.f64 -1/3 (cbrt.f64 -1/10)) (/.f64 (*.f64 (*.f64 x x) -2/9) (cbrt.f64 -1/10)))))

eval252.0ms (4%)

Compiler

Compiled 6292 to 5135 computations (18.4% saved)

prune99.0ms (1.6%)

Pruning

26 alts after pruning (15 fresh and 11 done)

PrunedKeptTotal
New4208428
Fresh7714
Picked011
Done01010
Total42726453
Error
0b
Counts
453 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
18.7b
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
1.3b
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3))
19.4b
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
0.5b
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
0.6b
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -1/10)
60.8b
(/.f64 (/.f64 -10 x) x)
7.7b
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
60.8b
(/.f64 -10 (*.f64 x x))
45.9b
(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
7.7b
(/.f64 10 (-.f64 1 (*.f64 x x)))
0.3b
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
19.7b
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -10 (fma.f64 x x -1))))
1.3b
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
6.8b
(/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))
1.4b
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3)
57.5b
10
0.8b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2)) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
18.2b
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
7.8b
(/.f64 10 (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x)))))
0.2b
(/.f64 -10 (fma.f64 x x -1))
0.3b
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
1.4b
(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -1/10)
46.0b
(/.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2) -1/10)
46.1b
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
7.7b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
0.4b
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
Compiler

Compiled 437 to 335 computations (23.3% saved)

localize112.0ms (1.8%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
0.4b
(*.f64 (fma.f64 x x -1) -1/10)
Compiler

Compiled 23 to 16 computations (30.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
0.0ms
x
@inf
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
0.0ms
x
@-inf
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))

rewrite46.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
660×pow1_binary64
614×add-log-exp_binary64
613×log1p-expm1-u_binary64
613×expm1-log1p-u_binary64
602×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11558
216968
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (fma.f64 x x -1) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify53.0ms (0.8%)

Algorithm
egg-herbie
Rules
677×fma-def_binary64
437×distribute-rgt-out_binary64
413×unswap-sqr_binary64
354×distribute-neg-frac_binary64
255×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038226
1112210
2338206
31162203
44868200
Stop Event
node limit
Counts
34 → 37
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.f64 -10 (pow.f64 x 6))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.f64 -10 (pow.f64 x 6))))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (-.f64 1 (*.f64 x x)))
0.3b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
7.8b
(-.f64 1 (*.f64 x x))
Compiler

Compiled 28 to 16 computations (42.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1 (-.f64 1 (*.f64 x x)))
0.0ms
x
@0
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
0.0ms
x
@inf
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
0.0ms
x
@0
(/.f64 1 (-.f64 1 (*.f64 x x)))
0.0ms
x
@-inf
(/.f64 1 (-.f64 1 (*.f64 x x)))

rewrite53.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
801×pow1_binary64
751×add-log-exp_binary64
750×log1p-expm1-u_binary64
750×expm1-log1p-u_binary64
736×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
117420
2214020
Stop Event
node limit
Counts
2 → 38
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
(/.f64 1 (-.f64 1 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 10 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 10 (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 (/.f64 10 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x 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 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 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 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))))))

simplify88.0ms (1.4%)

Algorithm
egg-herbie
Rules
823×fma-def_binary64
432×sub-neg_binary64
413×unswap-sqr_binary64
380×distribute-neg-frac_binary64
305×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054442
1158408
2481404
31547401
45588401
Stop Event
node limit
Counts
62 → 68
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 (fma.f64 x x 1) 10)
(*.f64 10 (fma.f64 x x 1))
(fma.f64 x (*.f64 10 x) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(+.f64 10 (*.f64 10 (fma.f64 x x (pow.f64 x 4))))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6)))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 8))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6)))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 8))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 x x) 1)
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))
(+.f64 (pow.f64 x 4) (fma.f64 x x 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(+.f64 1 (+.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(+.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) (pow.f64 x 6)))
(+.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 (pow.f64 x 6) 1))
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 6) (fma.f64 x x 1)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 6)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6)))) (/.f64 -1 (pow.f64 x 8)))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))) (/.f64 -1 (pow.f64 x 8))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 6)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6)))) (/.f64 -1 (pow.f64 x 8)))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))) (/.f64 -1 (pow.f64 x 8))))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 10 (-.f64 1 (*.f64 x x)))
0.5b
(cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))
0.8b
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
7.8b
(-.f64 1 (*.f64 x x))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series6.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
1.0ms
x
@inf
(cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))
0.0ms
x
@-inf
(cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))

rewrite71.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
901×pow1_binary64
853×add-log-exp_binary64
852×log1p-expm1-u_binary64
852×expm1-log1p-u_binary64
835×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
122122
2240522
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
(cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 10 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 10 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/6) (*.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/6) (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)) 3) (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/6) 3) (pow.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2) 1) (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/6)) (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (neg.f64 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 1/10 (/.f64 (*.f64 x x) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/10 (/.f64 (*.f64 x x) 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (neg.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (-.f64 1/10 (/.f64 (*.f64 x x) 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 10) 3) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 10 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 10 (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 (*.f64 (cbrt.f64 10) (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 10)) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 10) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 10) (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 10) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/6) (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (-.f64 1/10 (/.f64 (*.f64 x x) 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 10) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -10) (cbrt.f64 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 10)) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x))))))))))

simplify67.0ms (1.1%)

Algorithm
egg-herbie
Rules
616×associate-+l+_binary64
527×unswap-sqr_binary64
498×associate-+r+_binary64
481×*-commutative_binary64
393×distribute-lft-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052201
1140191
2416128
32007121
44878113
57552113
67861113
Stop Event
node limit
Counts
70 → 76
Calls
Call 1
Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 (+.f64 40/9 (*.f64 (cbrt.f64 10) (+.f64 (*.f64 4/9 (pow.f64 (cbrt.f64 10) 2)) (*.f64 1/9 (pow.f64 (cbrt.f64 10) 2))))) (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 260/81 (+.f64 (*.f64 (+.f64 (*.f64 4/27 (pow.f64 (cbrt.f64 10) 2)) (*.f64 28/81 (pow.f64 (cbrt.f64 10) 2))) (cbrt.f64 10)) (*.f64 1/3 (*.f64 (cbrt.f64 10) (+.f64 (*.f64 4/9 (pow.f64 (cbrt.f64 10) 2)) (*.f64 1/9 (pow.f64 (cbrt.f64 10) 2))))))) (pow.f64 x 6)) (+.f64 10 (*.f64 (+.f64 40/9 (*.f64 (cbrt.f64 10) (+.f64 (*.f64 4/9 (pow.f64 (cbrt.f64 10) 2)) (*.f64 1/9 (pow.f64 (cbrt.f64 10) 2))))) (pow.f64 x 4)))))
(cbrt.f64 10)
(+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 10) (pow.f64 x 2))) (cbrt.f64 10))
(+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 10) (pow.f64 x 2))) (+.f64 (*.f64 2/9 (*.f64 (cbrt.f64 10) (pow.f64 x 4))) (cbrt.f64 10)))
(+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 10) (pow.f64 x 2))) (+.f64 (*.f64 2/9 (*.f64 (cbrt.f64 10) (pow.f64 x 4))) (+.f64 (cbrt.f64 10) (*.f64 14/81 (*.f64 (cbrt.f64 10) (pow.f64 x 6))))))
Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 (+.f64 40/9 (*.f64 (cbrt.f64 10) (+.f64 (*.f64 4/9 (pow.f64 (cbrt.f64 10) 2)) (*.f64 1/9 (pow.f64 (cbrt.f64 10) 2))))) (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 (+.f64 40/9 (*.f64 (cbrt.f64 10) (*.f64 (pow.f64 (cbrt.f64 10) 2) 5/9))) (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 10) (*.f64 (pow.f64 (cbrt.f64 10) 2) 5/9) 40/9) (pow.f64 x 4) 10))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 260/81 (+.f64 (*.f64 (+.f64 (*.f64 4/27 (pow.f64 (cbrt.f64 10) 2)) (*.f64 28/81 (pow.f64 (cbrt.f64 10) 2))) (cbrt.f64 10)) (*.f64 1/3 (*.f64 (cbrt.f64 10) (+.f64 (*.f64 4/9 (pow.f64 (cbrt.f64 10) 2)) (*.f64 1/9 (pow.f64 (cbrt.f64 10) 2))))))) (pow.f64 x 6)) (+.f64 10 (*.f64 (+.f64 40/9 (*.f64 (cbrt.f64 10) (+.f64 (*.f64 4/9 (pow.f64 (cbrt.f64 10) 2)) (*.f64 1/9 (pow.f64 (cbrt.f64 10) 2))))) (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 (+.f64 260/81 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 10) 2) 40/81) (cbrt.f64 10) (*.f64 (*.f64 (cbrt.f64 10) (*.f64 (pow.f64 (cbrt.f64 10) 2) 5/9)) 1/3))) (pow.f64 x 6) (+.f64 10 (*.f64 (+.f64 40/9 (*.f64 (cbrt.f64 10) (*.f64 (pow.f64 (cbrt.f64 10) 2) 5/9))) (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 (+.f64 260/81 (fma.f64 (cbrt.f64 10) (*.f64 (pow.f64 (cbrt.f64 10) 2) 40/81) (*.f64 (cbrt.f64 10) (*.f64 (*.f64 (pow.f64 (cbrt.f64 10) 2) 5/9) 1/3)))) (pow.f64 x 6) (fma.f64 (fma.f64 (cbrt.f64 10) (*.f64 (pow.f64 (cbrt.f64 10) 2) 5/9) 40/9) (pow.f64 x 4) 10)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) (fma.f64 10 (pow.f64 x 6) 10)))
(fma.f64 10 (pow.f64 x 6) (*.f64 10 (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(cbrt.f64 10)
(+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 10) (pow.f64 x 2))) (cbrt.f64 10))
(fma.f64 1/3 (*.f64 (*.f64 x x) (cbrt.f64 10)) (cbrt.f64 10))
(fma.f64 1/3 (*.f64 x (*.f64 x (cbrt.f64 10))) (cbrt.f64 10))
(fma.f64 (*.f64 x x) (*.f64 (cbrt.f64 10) 1/3) (cbrt.f64 10))
(*.f64 (cbrt.f64 10) (+.f64 1 (*.f64 x (*.f64 x 1/3))))
(+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 10) (pow.f64 x 2))) (+.f64 (*.f64 2/9 (*.f64 (cbrt.f64 10) (pow.f64 x 4))) (cbrt.f64 10)))
(fma.f64 1/3 (*.f64 (*.f64 x x) (cbrt.f64 10)) (fma.f64 2/9 (*.f64 (cbrt.f64 10) (pow.f64 x 4)) (cbrt.f64 10)))
(fma.f64 1/3 (*.f64 x (*.f64 x (cbrt.f64 10))) (fma.f64 (*.f64 (cbrt.f64 10) 2/9) (pow.f64 x 4) (cbrt.f64 10)))
(+.f64 (cbrt.f64 10) (*.f64 (cbrt.f64 10) (+.f64 (*.f64 x (*.f64 x 1/3)) (*.f64 (pow.f64 x 4) 2/9))))
(*.f64 (cbrt.f64 10) (+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/3))) (*.f64 (pow.f64 x 4) 2/9)))
(+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 10) (pow.f64 x 2))) (+.f64 (*.f64 2/9 (*.f64 (cbrt.f64 10) (pow.f64 x 4))) (+.f64 (cbrt.f64 10) (*.f64 14/81 (*.f64 (cbrt.f64 10) (pow.f64 x 6))))))
(fma.f64 1/3 (*.f64 (*.f64 x x) (cbrt.f64 10)) (fma.f64 2/9 (*.f64 (cbrt.f64 10) (pow.f64 x 4)) (+.f64 (cbrt.f64 10) (*.f64 14/81 (*.f64 (cbrt.f64 10) (pow.f64 x 6))))))
(fma.f64 1/3 (*.f64 x (*.f64 x (cbrt.f64 10))) (fma.f64 (*.f64 (cbrt.f64 10) 2/9) (pow.f64 x 4) (fma.f64 14/81 (*.f64 (cbrt.f64 10) (pow.f64 x 6)) (cbrt.f64 10))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (cbrt.f64 10) 1/3) (cbrt.f64 10)) (*.f64 (cbrt.f64 10) (+.f64 (*.f64 (pow.f64 x 6) 14/81) (*.f64 (pow.f64 x 4) 2/9))))
(+.f64 (cbrt.f64 10) (*.f64 (cbrt.f64 10) (+.f64 (*.f64 x (*.f64 x 1/3)) (+.f64 (*.f64 (pow.f64 x 4) 2/9) (*.f64 (pow.f64 x 6) 14/81)))))
(*.f64 (cbrt.f64 10) (+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/3))) (+.f64 (*.f64 (pow.f64 x 4) 2/9) (*.f64 (pow.f64 x 6) 14/81))))

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (fma.f64 x x -1) -1/2)
0.1b
(/.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2) -1/10)
0.1b
(pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2)
Compiler

Compiled 34 to 25 computations (26.5% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2) -1/10)
1.0ms
x
@0
(pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2)
1.0ms
x
@inf
(pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2)
0.0ms
x
@-inf
(pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2)
0.0ms
x
@0
(pow.f64 (fma.f64 x x -1) -1/2)

rewrite185.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
862×pow1_binary64
809×add-log-exp_binary64
809×log1p-expm1-u_binary64
809×expm1-log1p-u_binary64
793×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
121527
2225527
Stop Event
node limit
Counts
3 → 59
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2)
(/.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2) -1/10)
(pow.f64 (fma.f64 x x -1) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -1/2) (pow.f64 (fma.f64 x x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -1/2)) (pow.f64 (fma.f64 x x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -1/4) (*.f64 (pow.f64 (fma.f64 x x -1) -1/4) (pow.f64 (fma.f64 x x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -1/2) (pow.f64 (fma.f64 x x -1) -1/4)) (pow.f64 (fma.f64 x x -1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -1/2) (cbrt.f64 (/.f64 1 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -1/2) (*.f64 (pow.f64 (fma.f64 x x -1) -1/2) -10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) -10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)) (cbrt.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -1/2) (sqrt.f64 -10)) (*.f64 (pow.f64 (fma.f64 x x -1) -1/2) (sqrt.f64 -10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (fma.f64 x x -1))) 10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -1/2) (sqrt.f64 -10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/10 (/.f64 1 (fma.f64 x x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (fma.f64 x x -1)) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 x x -1))) -10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -10)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 x x -1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -1/4) (pow.f64 (fma.f64 x x -1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 x x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x x -1))))))))

simplify148.0ms (2.4%)

Algorithm
egg-herbie
Rules
562×fma-neg_binary64
515×associate-/r*_binary64
460×fma-def_binary64
392×distribute-lft-out_binary64
383×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0100715
1287649
2890634
33514627
Stop Event
node limit
Counts
95 → 110
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 3/4 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 5/8 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 3/8 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 6)) (*.f64 (+.f64 (*.f64 3/4 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 4)))) 1)
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (*.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 5/16 (*.f64 (sqrt.f64 -1) (pow.f64 x 6))))))
(/.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))))
Outputs
-1
(-.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) 1)
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x) -1)
(fma.f64 -1 (*.f64 x x) -1)
(fma.f64 x (neg.f64 x) -1)
(-.f64 -1 (*.f64 x x))
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 3/4 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 4))) 1)
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 -1) 2) 1))) -1)
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) -1))
(fma.f64 -1 (pow.f64 x 4) (fma.f64 x (neg.f64 x) -1))
(-.f64 (-.f64 -1 (*.f64 x x)) (pow.f64 x 4))
(-.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 5/8 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 3/8 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 6)) (*.f64 (+.f64 (*.f64 3/4 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 4)))) 1)
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 x 6) (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 -1) 2) 1)))) -1)
(+.f64 -1 (fma.f64 -1 (*.f64 x x) (*.f64 -1 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))))
(fma.f64 -1 (+.f64 (pow.f64 x 4) (pow.f64 x 6)) (fma.f64 x (neg.f64 x) -1))
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x (pow.f64 x 6))) (pow.f64 x 4)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 8))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8))) (/.f64 1 (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 8))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8))) (/.f64 1 (pow.f64 x 4))))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 (pow.f64 x 4) 10))
(fma.f64 (*.f64 x x) 10 (fma.f64 (pow.f64 x 4) 10 10))
(*.f64 10 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 (pow.f64 x 4) 10))))
(fma.f64 (*.f64 x x) 10 (fma.f64 (pow.f64 x 6) 10 (fma.f64 (pow.f64 x 4) 10 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 (pow.f64 x 4) 10 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (-.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8))))
(+.f64 (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (-.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (*.f64 (*.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)))
(fma.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))
(*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (+.f64 (*.f64 x (*.f64 x 1/2)) 1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (*.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)) (*.f64 (*.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)) (*.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 x 4) 3/8) (*.f64 x (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 -1) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 3/8 (*.f64 x x))))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 5/16 (*.f64 (sqrt.f64 -1) (pow.f64 x 6))))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 5/16 (*.f64 (sqrt.f64 -1) (pow.f64 x 6))))))
(+.f64 (sqrt.f64 -1) (fma.f64 3/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 6) 5/16)))))
(+.f64 (sqrt.f64 -1) (fma.f64 (sqrt.f64 -1) (*.f64 x (*.f64 x 1/2)) (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 (pow.f64 x 4) 3/8) (*.f64 (pow.f64 x 6) 5/16)))))
(+.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 4) (+.f64 3/8 (*.f64 5/16 (*.f64 x x)))))))
(/.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -3/8 (pow.f64 x 5))))
(+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 5/16 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 5/16 (pow.f64 x 7)) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))) (/.f64 3/8 (pow.f64 x 5)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 5/16 (pow.f64 x 7)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 3/8 (pow.f64 x 5)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 5/16 (pow.f64 x 7)) (-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -3/8 (pow.f64 x 5)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3))))
(-.f64 (/.f64 -1 x) (/.f64 1/2 (pow.f64 x 3)))
(+.f64 (/.f64 -1/2 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1/2 (pow.f64 x 3))) (/.f64 3/8 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -3/8 (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 5/16 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 5/16 (pow.f64 x 7)) (/.f64 1/2 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5)))))
(+.f64 (-.f64 (-.f64 (/.f64 -1 x) (/.f64 1/2 (pow.f64 x 3))) (/.f64 3/8 (pow.f64 x 5))) (/.f64 -5/16 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 x 3)) (/.f64 -1 x)) (-.f64 (/.f64 -3/8 (pow.f64 x 5)) (/.f64 5/16 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -1/2 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 (/.f64 -5/16 (pow.f64 x 7)) (/.f64 -3/8 (pow.f64 x 5))))

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (cbrt.f64 (fma.f64 x x -1)))
0.4b
(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -1/10)
0.6b
(cbrt.f64 (fma.f64 x x -1))
0.8b
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3)
Compiler

Compiled 42 to 31 computations (26.2% saved)

series7.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

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

rewrite94.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
922×pow1_binary64
874×add-log-exp_binary64
872×log1p-expm1-u_binary64
872×expm1-log1p-u_binary64
855×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01146
123133
2247733
Stop Event
node limit
Counts
4 → 95
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3)
(cbrt.f64 (fma.f64 x x -1))
(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -1/10)
(/.f64 1 (cbrt.f64 (fma.f64 x x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (/.f64 1 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2)) 3) (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) 1) (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2)) (neg.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) 1) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) -1) (neg.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (fma.f64 x x -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) -10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) -10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x -1)) 10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) -10))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/10 (fma.f64 x x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (fma.f64 x x -1)) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) -1) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x -1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1)))))))))

simplify101.0ms (1.6%)

Algorithm
egg-herbie
Rules
477×associate-/r/_binary64
464×associate-/l/_binary64
416×fma-def_binary64
407×distribute-rgt-in_binary64
385×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0109629
1315560
21009512
33880455
Stop Event
node limit
Counts
119 → 130
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1))))) 4/9) (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (cbrt.f64 -1))) (*.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (+.f64 (*.f64 1/3 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (cbrt.f64 -1) 2))))) 4/27) (pow.f64 x 6)) (*.f64 (-.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1))))) 4/9) (pow.f64 x 4)))) 1)
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2))))))
Outputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(fma.f64 x (neg.f64 x) -1)
(-.f64 -1 (*.f64 x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1))))) 4/9) (pow.f64 x 4))) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (*.f64 (fma.f64 (cbrt.f64 -1) (-.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4))) -1)
(fma.f64 -1 (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/9 (*.f64 -1 (cbrt.f64 -1))) (/.f64 -4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4) -1))
(fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 -1/9 (cbrt.f64 -1)) (/.f64 -4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4) (fma.f64 x (neg.f64 x) -1))
(-.f64 (*.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (cbrt.f64 -1))) (*.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (+.f64 (*.f64 1/3 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (cbrt.f64 -1) 2))))) 4/27) (pow.f64 x 6)) (*.f64 (-.f64 (*.f64 (cbrt.f64 -1) (-.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1))))) 4/9) (pow.f64 x 4)))) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (fma.f64 (+.f64 (fma.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (cbrt.f64 -1)) (/.f64 4/27 (pow.f64 (cbrt.f64 -1) 4))) (fma.f64 1/3 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (*.f64 -1/3 (/.f64 (-.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 4/9 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))))) -4/27) (pow.f64 x 6) (*.f64 (fma.f64 (cbrt.f64 -1) (-.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4)))) -1)
(+.f64 -1 (-.f64 (fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/9 (*.f64 -1 (cbrt.f64 -1))) (/.f64 -4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4) (*.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 -28/81 (cbrt.f64 -1)) (/.f64 4/27 (*.f64 -1 (cbrt.f64 -1)))) (+.f64 (*.f64 -1/3 (+.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 -1 (cbrt.f64 -1)))) 4/9)) -26/81)) (pow.f64 x 6))) (*.f64 x x)))
(-.f64 (fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 -1/9 (cbrt.f64 -1)) (/.f64 -4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4) (*.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 -28/81 (cbrt.f64 -1)) (/.f64 -4/27 (cbrt.f64 -1))) -41/81) (pow.f64 x 6))) (fma.f64 x x 1))
(-.f64 (fma.f64 -1 (pow.f64 x 4) (*.f64 -1 (pow.f64 x 6))) (fma.f64 x x 1))
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (cbrt.f64 -1))
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1)))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1))))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(fma.f64 x (*.f64 x 10) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 10 (*.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (*.f64 x x) 10) (*.f64 (pow.f64 x 4) 10))
(fma.f64 (*.f64 x x) 10 (fma.f64 (pow.f64 x 4) 10 10))
(*.f64 10 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 10 (pow.f64 x 2)) (+.f64 (*.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (*.f64 (pow.f64 x 4) 10))))
(fma.f64 (*.f64 x x) 10 (fma.f64 (pow.f64 x 6) 10 (fma.f64 (pow.f64 x 4) 10 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 (pow.f64 x 4) 10 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6))))
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (/.f64 (*.f64 -1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 -1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (cbrt.f64 -1))
(fma.f64 -1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (*.f64 -2/9 (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (*.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 -1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 6)))))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (*.f64 -14/81 (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 -14/81 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 6))))))
(+.f64 (fma.f64 -1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 -14/81 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 6)))))

eval416.0ms (6.6%)

Compiler

Compiled 7912 to 6199 computations (21.7% saved)

prune258.0ms (4.1%)

Pruning

29 alts after pruning (15 fresh and 14 done)

PrunedKeptTotal
New53111542
Fresh6410
Picked101
Done11415
Total53929568
Error
0b
Counts
568 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
6.7b
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))) 10)
57.5b
10
19.4b
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
0.5b
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
0.6b
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -1/10)
60.8b
(/.f64 (/.f64 -10 x) x)
7.7b
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
60.8b
(/.f64 -10 (*.f64 x x))
18.7b
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
7.7b
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))
7.8b
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))) 10)
46.1b
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
0.3b
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
19.7b
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -10 (fma.f64 x x -1))))
18.2b
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
1.3b
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
6.8b
(/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))
7.8b
(/.f64 10 (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x)))))
8.0b
(/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/10) 1/10))
0.2b
(/.f64 -10 (fma.f64 x x -1))
2.3b
(/.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) 3) 3) -1/10)
0.3b
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
8.5b
(/.f64 1 (-.f64 1/10 (/.f64 (*.f64 x x) 10)))
0.4b
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
46.0b
(/.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2) -1/10)
1.3b
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3))
1.3b
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3) -1/10)
7.7b
(/.f64 10 (-.f64 1 (*.f64 x x)))
7.7b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
Compiler

Compiled 309 to 236 computations (23.6% saved)

regimes533.0ms (8.5%)

Counts
51 → 1
Calls
Call 1
Inputs
10
10
10
10
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (*.f64 x x))
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))
(/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/10) 1/10))
(/.f64 1 (-.f64 1/10 (/.f64 (*.f64 x x) 10)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
(/.f64 10 (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))) 10)
(/.f64 -10 (fma.f64 x x -1))
(/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))) 10)
(pow.f64 (fma.f64 x (*.f64 -1/10 x) 1/10) -1)
(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
(pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 3) 1/3)
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
(/.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2) -1/10)
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3) -1/10)
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -1/10)
(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -1/10)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10))) 3)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -10)
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -10)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -10 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3) -1)
(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) 3) 3) -1/10)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2)) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
Outputs
(/.f64 -10 (fma.f64 x x -1))
Calls

7 calls:

156.0ms
(/.f64 10 (-.f64 1 (*.f64 x x)))
50.0ms
(-.f64 1 (*.f64 x x))
49.0ms
x
32.0ms
(*.f64 x x)
28.0ms
(*.f64 x x)
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(/.f64 10 (-.f64 1 (*.f64 x x)))
0.2b1(/.f64 10 (-.f64 1 (*.f64 x x)))
0.2b1(-.f64 1 (*.f64 x x))
0.2b1(-.f64 1 (*.f64 x x))
0.2b1(*.f64 x x)
0.2b1(*.f64 x x)
Compiler

Compiled 524 to 383 computations (26.9% saved)

regimes62.0ms (1%)

Counts
13 → 1
Calls
Call 1
Inputs
10
10
10
10
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (*.f64 x x))
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))
(/.f64 1 (+.f64 (*.f64 (*.f64 x x) -1/10) 1/10))
(/.f64 1 (-.f64 1/10 (/.f64 (*.f64 x x) 10)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)
(/.f64 10 (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))) 10)
Outputs
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))
Calls

5 calls:

27.0ms
(/.f64 10 (-.f64 1 (*.f64 x x)))
8.0ms
x
8.0ms
(/.f64 10 (-.f64 1 (*.f64 x x)))
7.0ms
(-.f64 1 (*.f64 x x))
7.0ms
(*.f64 x x)
Results
ErrorSegmentsBranch
7.7b1x
7.7b1(/.f64 10 (-.f64 1 (*.f64 x x)))
7.7b1(/.f64 10 (-.f64 1 (*.f64 x x)))
7.7b1(-.f64 1 (*.f64 x x))
7.7b1(*.f64 x x)
Compiler

Compiled 128 to 77 computations (39.8% saved)

regimes53.0ms (0.9%)

Counts
7 → 1
Calls
Call 1
Inputs
10
10
10
10
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (*.f64 x x))
(/.f64 10 (-.f64 1 (*.f64 x x)))
Outputs
(/.f64 10 (-.f64 1 (*.f64 x x)))
Calls

4 calls:

36.0ms
(/.f64 10 (-.f64 1 (*.f64 x x)))
5.0ms
(*.f64 x x)
5.0ms
(-.f64 1 (*.f64 x x))
5.0ms
x
Results
ErrorSegmentsBranch
7.7b1x
7.7b1(/.f64 10 (-.f64 1 (*.f64 x x)))
7.7b1(-.f64 1 (*.f64 x x))
7.7b1(*.f64 x x)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes46.0ms (0.7%)

Counts
6 → 2
Calls
Call 1
Inputs
10
10
10
10
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (*.f64 x x))
Outputs
10
(/.f64 (/.f64 -10 x) x)
Calls

3 calls:

27.0ms
(*.f64 x x)
9.0ms
x
8.0ms
(*.f64 x x)
Results
ErrorSegmentsBranch
55.3b2x
55.3b2(*.f64 x x)
55.3b2(*.f64 x x)
Compiler

Compiled 25 to 16 computations (36% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999904746596984
1.000039699871843
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
4 → 1
Calls
Call 1
Inputs
10
10
10
10
Outputs
10
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
57.5b1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01849
12549
23149
33549
43749
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 -10 (fma.f64 x x -1))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))
(/.f64 10 (-.f64 1 (*.f64 x x)))
(if (<=.f64 (*.f64 x x) 1) 10 (/.f64 (/.f64 -10 x) x))
10
Outputs
(/.f64 -10 (fma.f64 x x -1))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))
(/.f64 10 (-.f64 1 (*.f64 x x)))
(if (<=.f64 (*.f64 x x) 1) 10 (/.f64 (/.f64 -10 x) x))
10
Compiler

Compiled 40 to 30 computations (25% saved)

soundness339.0ms (5.4%)

Algorithm
egg-herbie
Rules
601×unsub-neg_binary64
586×distribute-rgt-out--_binary64
492×fma-neg_binary64
434×distribute-neg-in_binary64
409×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0710
11410
22110
33210
44910
5778
61318
73628
87388
915368
1028958
1143128
1252708
1355808
1458848
1559858
1660638
1763318
1872778
Stop Event
node limit
Compiler

Compiled 110 to 86 computations (21.8% saved)

end34.0ms (0.5%)

Compiler

Compiled 36 to 24 computations (33.3% saved)

Profiling

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