Details

Time bar (total: 2.9s)

analyze10.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
75%25%0%5
87.5%12.5%0%6
93.7%6.2%0%7
96.8%3.1%0%8
98.4%1.6%0%9
99.2%0.8%0%10
99.6%0.4%0%11
99.8%0.2%0%12
99.9%0.1%0%13
99.9%0.1%0.1%14
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.4s (49.7%)

Results
436.0ms4546×body128valid
430.0ms1365×body1024valid
394.0ms1559×body512valid
147.0ms786×body256valid
Compiler

Compiled 34 to 28 computations (17.6% saved)

preprocess22.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
41×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523722
638822
750922
861522
963522
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify12.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
41×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523722
638822
750922
861522
963522
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
10.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶10.1b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 63 to 51 computations (19% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
✓2.8b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

series6.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 1 (+.f64 x 1))
1.0ms
x
@inf
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
1.0ms
x
@0
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
1.0ms
x
@-inf
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0ms
x
@inf
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))

rewrite67.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
236×expm1-udef_binary64
236×log1p-udef_binary64
143×add-sqr-sqrt_binary64
137×*-un-lft-identity_binary64
137×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
127242
2438242
Stop Event
1×node limit
Counts
3 → 127
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
(/.f64 1 (+.f64 x 1))
Outputs
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pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))))

simplify31.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
551×fma-neg_binary64
418×cancel-sign-sub-inv_binary64
263×associate-+l-_binary64
251×associate-*l*_binary64
216×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067575
1211559
2601553
31854553
Stop Event
1×node limit
Counts
163 → 167
Calls
Call 1
Inputs
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) x))
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 x)) x))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x)))
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 x 2)))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(fma.f64 -2 x (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))
(+.f64 (/.f64 -2 x) (*.f64 -2 (+.f64 x (pow.f64 x 3))))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(neg.f64 (fma.f64 2 (pow.f64 x 5) (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3))))))
(-.f64 (*.f64 -2 (pow.f64 x 5)) (fma.f64 2 (+.f64 x (pow.f64 x 3)) (/.f64 2 x)))
(fma.f64 -2 (pow.f64 x 5) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)))
(*.f64 -2 (+.f64 (fma.f64 (fma.f64 x x 1) x (/.f64 1 x)) (pow.f64 x 5)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9))))
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) x))
(-.f64 1 (+.f64 x (/.f64 2 x)))
(+.f64 (-.f64 1 x) (/.f64 -2 x))
(-.f64 (-.f64 1 x) (/.f64 2 x))
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 x)) x))
(+.f64 1 (-.f64 (*.f64 x x) (+.f64 x (/.f64 2 x))))
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 2 x)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -2 x)) x))
(+.f64 (/.f64 -2 x) (fma.f64 x x (-.f64 1 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x x (-.f64 1 x))
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 x x)) (+.f64 x (pow.f64 x 3)))
(-.f64 (fma.f64 x x 1) (+.f64 x (pow.f64 x 3)))
(fma.f64 x x (-.f64 (-.f64 1 x) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))

prune141.0ms (4.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1643167
Fresh000
Picked101
Done000
Total1653168
Error
0.2b
Counts
168 → 3
Alt Table
StatusErrorProgram
▶10.0b
(-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) (/.f64 2 x))
32.4b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
26.4b
(/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))
Compiler

Compiled 4096 to 3229 computations (21.2% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 1 x))
✓1.5b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x)))
✓2.3b
(-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) (/.f64 2 x))

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite72.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
248×log1p-udef_binary64
151×add-sqr-sqrt_binary64
145×*-un-lft-identity_binary64
145×pow1_binary64
142×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
129045
2462245
Stop Event
1×node limit
Counts
3 → 128
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) (/.f64 2 x))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) (*.f64 (/.f64 -2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 2 x))) 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simplify56.0ms (2%)

Algorithm
1×egg-herbie
Rules
367×fma-def_binary64
309×associate-*l*_binary64
264×distribute-lft-out_binary64
201×associate-*r*_binary64
181×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070595
1229581
2708569
32450568
Stop Event
1×node limit
Counts
164 → 169
Calls
Call 1
Inputs
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (pow.f64 x 7)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x)))
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 x 2)))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(fma.f64 -2 x (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (*.f64 2 (+.f64 x (pow.f64 x 3))))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(neg.f64 (fma.f64 2 (pow.f64 x 5) (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3))))))
(-.f64 (*.f64 -2 (pow.f64 x 5)) (fma.f64 2 (+.f64 x (pow.f64 x 3)) (/.f64 2 x)))
(fma.f64 -2 (pow.f64 x 5) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)))
(*.f64 -2 (+.f64 (fma.f64 (fma.f64 x x 1) x (pow.f64 x 5)) (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(*.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(neg.f64 (*.f64 2 (+.f64 x (pow.f64 x 3))))
(*.f64 -2 (+.f64 x (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x))))
(neg.f64 (fma.f64 2 (pow.f64 x 5) (*.f64 2 (+.f64 x (pow.f64 x 3)))))
(neg.f64 (*.f64 2 (+.f64 (pow.f64 x 5) (+.f64 x (pow.f64 x 3)))))
(*.f64 -2 (fma.f64 (fma.f64 x x 1) x (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (pow.f64 x 7)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))))
(neg.f64 (fma.f64 2 (pow.f64 x 5) (fma.f64 2 (pow.f64 x 7) (*.f64 2 (+.f64 x (pow.f64 x 3))))))
(-.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 2 (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 7))))
(fma.f64 -2 (pow.f64 x 5) (*.f64 -2 (fma.f64 (fma.f64 x x 1) x (pow.f64 x 7))))
(*.f64 -2 (+.f64 (fma.f64 (fma.f64 x x 1) x (pow.f64 x 5)) (pow.f64 x 7)))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x x (-.f64 1 x))
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(-.f64 (fma.f64 x x 1) (+.f64 x (pow.f64 x 3)))
(+.f64 1 (*.f64 x (-.f64 x (fma.f64 x x 1))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))

prune150.0ms (5.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1690169
Fresh022
Picked011
Done000
Total1693172
Error
0.2b
Counts
172 → 3
Alt Table
StatusErrorProgram
✓10.0b
(-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) (/.f64 2 x))
32.4b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
▶26.4b
(/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))
Compiler

Compiled 4089 to 3275 computations (19.9% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (+.f64 1 x) 2))
✓0.0b
(*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))
✓0.1b
(*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))
✓17.7b
(+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2))))

series5.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))
1.0ms
x
@inf
(*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))
1.0ms
x
@0
(*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))
0.0ms
x
@inf
(*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))
0.0ms
x
@-inf
(*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))

rewrite114.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
257×expm1-udef_binary64
257×log1p-udef_binary64
152×add-sqr-sqrt_binary64
147×*-un-lft-identity_binary64
147×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01362
129662
2430662
Stop Event
1×node limit
Counts
4 → 144
Calls
Call 1
Inputs
(+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2))))
(*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))
(*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))
(-.f64 x (*.f64 (+.f64 1 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2) (+.f64 x (-.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))))) (/.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2))) 2) (+.f64 x (-.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x (*.f64 x x)))) 2))))) 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(+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 x 1) -2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (+.f64 x 1) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 (*.f64 (+.f64 x 1) -2) 1 (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 -2 (+.f64 x 1) (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 (+.f64 -1 (neg.f64 x)) 2 (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 (*.f64 x 2)))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 x 2))) 2) (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 (*.f64 x 2)))) (sqrt.f64 (+.f64 2 (*.f64 x 2))) (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 (+.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 2) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) (sqrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 x 2)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 2 (*.f64 x 2)) (+.f64 x (+.f64 2 (*.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 4 (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (+.f64 x (+.f64 2 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 2 (*.f64 x 2)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 2 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 2 (*.f64 x 2)) (+.f64 x (+.f64 2 (*.f64 x 2))))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 x 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 2 (*.f64 x 2))) (-.f64 (*.f64 x x) (*.f64 4 (pow.f64 (+.f64 x 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 x 2)) 3)) (fma.f64 x x (*.f64 (+.f64 2 (*.f64 x 2)) (+.f64 x (+.f64 2 (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 4 (pow.f64 (+.f64 x 1) 2))) (+.f64 x (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 (*.f64 x 2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 2 (*.f64 x 2)) (+.f64 x (+.f64 2 (*.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 4 (pow.f64 (+.f64 x 1) 2)))) (neg.f64 (+.f64 x (+.f64 2 (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x 1) -2) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2)) (*.f64 x (*.f64 (+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 (+.f64 x 1) -2))) 1))))))

simplify29.0ms (1%)

Algorithm
1×egg-herbie
Rules
937×fma-neg_binary64
653×unswap-sqr_binary64
266×associate-*l*_binary64
237×fma-def_binary64
194×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017242
148208
296208
3221208
4713208
52341208
Stop Event
1×node limit
Counts
192 → 159
Calls
Call 1
Inputs
2
2
2
2
2
2
2
2
2
2
2
2
(*.f64 -1 x)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
2
(-.f64 2 x)
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
-2
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(*.f64 -1 x)
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(*.f64 -1 x)
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
(neg.f64 (+.f64 2 x))
Outputs
2
2
2
2
2
2
2
2
2
2
2
2
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
(-.f64 (pow.f64 x 3) x)
2
(-.f64 2 x)
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 x (*.f64 x x)))
(-.f64 2 (fma.f64 x x x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 x (*.f64 x x)))
(-.f64 2 (fma.f64 x x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(neg.f64 (+.f64 (pow.f64 x 2) x))
(neg.f64 (+.f64 x (*.f64 x x)))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 x (*.f64 x x)))
(-.f64 2 (fma.f64 x x x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 x (*.f64 x x)))
(-.f64 2 (fma.f64 x x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(neg.f64 (+.f64 (pow.f64 x 2) x))
(neg.f64 (+.f64 x (*.f64 x x)))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 x (*.f64 x x)))
(-.f64 2 (fma.f64 x x x))
(-.f64 2 (+.f64 (pow.f64 x 2) x))
(-.f64 2 (+.f64 x (*.f64 x x)))
(-.f64 2 (fma.f64 x x x))
-2
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(neg.f64 (+.f64 2 x))
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)

prune172.0ms (6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1581159
Fresh011
Picked101
Done011
Total1593162
Error
0.2b
Counts
162 → 3
Alt Table
StatusErrorProgram
▶0.2b
(/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))
✓10.0b
(-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) (/.f64 2 x))
32.4b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
Compiler

Compiled 5652 to 3856 computations (31.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 1 x))
0.1b
(*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x)))
✓0.2b
(/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x (+.f64 1 x))
0.0ms
x
@0
(/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))
0.0ms
x
@-inf
(/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))
0.0ms
x
@0
(*.f64 x (+.f64 1 x))
0.0ms
x
@inf
(/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))

rewrite82.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
282×fma-def_binary64
248×prod-diff_binary64
184×expm1-udef_binary64
184×log1p-udef_binary64
150×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01023
122123
2291816
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))
(*.f64 x (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 2) (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (fma.f64 x x -1)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x x) 3)) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1))))))

simplify35.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
658×fma-def_binary64
464×fma-neg_binary64
321×cancel-sign-sub-inv_binary64
212×sub-neg_binary64
210×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043295
1134271
2391265
31292265
44569265
Stop Event
1×node limit
Counts
95 → 89
Calls
Call 1
Inputs
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
Outputs
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 x)))
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 x 2)))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(fma.f64 -2 x (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))
(+.f64 (/.f64 -2 x) (*.f64 -2 (+.f64 x (pow.f64 x 3))))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))))
(neg.f64 (fma.f64 2 (pow.f64 x 5) (+.f64 (/.f64 2 x) (*.f64 2 (+.f64 x (pow.f64 x 3))))))
(-.f64 (*.f64 -2 (pow.f64 x 5)) (fma.f64 2 (+.f64 x (pow.f64 x 3)) (/.f64 2 x)))
(fma.f64 -2 (pow.f64 x 5) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x)))
(*.f64 -2 (+.f64 (pow.f64 x 5) (fma.f64 x (fma.f64 x x 1) (/.f64 1 x))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)

prune143.0ms (5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1204124
Fresh101
Picked101
Done101
Total1234127
Error
0.0b
Counts
127 → 4
Alt Table
StatusErrorProgram
0.3b
(/.f64 2 (*.f64 (+.f64 x -1) (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x) x)))
0.2b
(/.f64 2 (-.f64 (pow.f64 x 3) x))
0.1b
(*.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x)))
0.9b
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 2))
Compiler

Compiled 1819 to 1167 computations (35.8% saved)

regimes176.0ms (6.2%)

Accuracy

Total 0.1b remaining (80.5%)

Threshold costs 0.1b (80.5%)

Counts
89 → 1
Compiler

Compiled 1248 to 885 computations (29.1% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11517
21617
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x)))
Outputs
(*.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 2 (+.f64 x -1)) (/.f64 1 (fma.f64 x x x)))

end69.0ms (2.4%)

Stop Event
1×fuel
Compiler

Compiled 86 to 60 computations (30.2% saved)

Profiling

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