Details

Time bar (total: 2.9s)

analyze7.0ms (0.3%)

Algorithm
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)

sample1.5s (53.6%)

Results
486.0ms4633×body128valid
461.0ms1340×body1024valid
405.0ms1492×body512valid
183.0ms791×body256valid
0.0msbody128invalid

preprocess25.0ms (0.9%)

Algorithm
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
saturated
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)

simplify13.0ms (0.4%)

Algorithm
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
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)))

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
8.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
8.6b
(+.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 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
1.3b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

series6.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite69.0ms (2.4%)

Algorithm
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
01149
127249
2438249
Stop Event
node limit
Counts
4 → 152
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))
(/.f64 1 (+.f64 x 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 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 exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))))

simplify35.0ms (1.2%)

Algorithm
egg-herbie
Rules
467×fma-neg_binary64
337×fma-def_binary64
284×associate-+l-_binary64
233×associate-+l+_binary64
225×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074756
1233730
2644719
31923716
Stop Event
node limit
Counts
200 → 206
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.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 (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (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 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 7)))))
(+.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 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 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (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 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 7)))))
(+.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 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (/.f64 -2 x))
(+.f64 1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 2 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -2 x)))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -2 x)))
(+.f64 1 (fma.f64 x (+.f64 x -1) (/.f64 -2 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(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 (pow.f64 x 2)) (/.f64 1 x)))
(-.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 (pow.f64 x 2)) (/.f64 1 x))))
(-.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 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.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 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(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 (pow.f64 x 2)) (/.f64 1 x)))
(-.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 (pow.f64 x 2)) (/.f64 1 x))))
(-.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 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.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 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 4)))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(fma.f64 x (-.f64 -1 x) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(fma.f64 (pow.f64 x 3) -1 (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 x -1) 1)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(fma.f64 x (+.f64 x -1) (-.f64 1 (pow.f64 x 3)))
(-.f64 1 (*.f64 x (fma.f64 x (+.f64 x -1) 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 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -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 (pow.f64 x 3)) (/.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 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))))

prune170.0ms (5.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2042206
Fresh000
Picked011
Done000
Total2043207
Error
0.1b
Counts
207 → 3
Alt Table
StatusErrorProgram
8.6b
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
8.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
32.9b
(+.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)))))
Compiler

Compiled 4835 to 3828 computations (20.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x)
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(-.f64 x (*.f64 (+.f64 1 x) 2))
1.1b
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite48.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
159×add-sqr-sqrt_binary64
154×*-un-lft-identity_binary64
154×pow1_binary64
149×add-cbrt-cube_binary64
149×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01257
130057
Stop Event
node limit
Counts
3 → 135
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(-.f64 x (*.f64 (+.f64 1 x) 2))
(/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x)
Outputs
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(*.f64 (+.f64 x 1) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (*.f64 x (+.f64 x 1))) (/.f64 (*.f64 (+.f64 x 1) 2) (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 x (+.f64 x 1)) x) (/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (/.f64 1 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x 1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x 1)) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x 1))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x 1))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))) (sqrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) 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(sqrt.f64 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x 1)) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x 1))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (+.f64 x 1) (+.f64 x (*.f64 (+.f64 x 1) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (+.f64 x 1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) -2)) (*.f64 x (+.f64 x 1)))))))))

simplify35.0ms (1.2%)

Algorithm
egg-herbie
Rules
657×fma-def_binary64
530×fma-neg_binary64
315×sub-neg_binary64
312×times-frac_binary64
229×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060453
1183440
2470428
31271427
43501427
Stop Event
node limit
Counts
171 → 167
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.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 (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 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 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 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 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.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 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 3))) (*.f64 2 (/.f64 1 (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 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 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (/.f64 -2 x))
(+.f64 1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 2 x)))
(+.f64 (-.f64 (*.f64 x x) x) (+.f64 1 (/.f64 -2 x)))
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -2 x))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -2 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(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 (pow.f64 x 2)) (/.f64 1 x)))
(-.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 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(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 (pow.f64 x 2)) (/.f64 1 x)))
(-.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 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))

prune149.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2060206
Fresh011
Picked011
Done011
Total2063209
Error
0.1b
Counts
209 → 3
Alt Table
StatusErrorProgram
8.6b
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
8.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
32.9b
(+.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)))))
Compiler

Compiled 5454 to 4099 computations (24.8% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 2 (pow.f64 x 9))
0.1b
(/.f64 2 (pow.f64 x 3))
0.1b
(/.f64 2 (pow.f64 x 7))
0.2b
(/.f64 2 (pow.f64 x 5))

series7.0ms (0.2%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 2 (pow.f64 x 5))
1.0ms
x
@0
(/.f64 2 (pow.f64 x 7))
1.0ms
x
@0
(/.f64 2 (pow.f64 x 9))
1.0ms
x
@0
(/.f64 2 (pow.f64 x 3))
0.0ms
x
@-inf
(/.f64 2 (pow.f64 x 7))

rewrite57.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
272×expm1-udef_binary64
272×log1p-udef_binary64
160×add-sqr-sqrt_binary64
156×add-log-exp_binary64
156×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01528
134628
2393528
Stop Event
node limit
Counts
4 → 88
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 5))
(/.f64 2 (pow.f64 x 7))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -5))) (cbrt.f64 (/.f64 4 (pow.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 10))) (cbrt.f64 (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -5))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -7))) (cbrt.f64 (/.f64 4 (pow.f64 x 14))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 14))) (cbrt.f64 (*.f64 2 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 7/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -7) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -7))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) x) (cbrt.f64 (/.f64 4 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 6))) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 2) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -9))) (cbrt.f64 (/.f64 4 (pow.f64 x 18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 18))) (cbrt.f64 (*.f64 2 (pow.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 9/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 9/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -9))))))))

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
88 → 88
Calls
Call 1
Inputs
Outputs

prune94.0ms (3.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85388
Fresh000
Picked101
Done022
Total86591
Error
0b
Counts
91 → 5
Alt Table
StatusErrorProgram
8.6b
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
8.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
39.6b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
38.5b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 (/.f64 (cbrt.f64 2) x) (cbrt.f64 (/.f64 4 (pow.f64 x 6)))) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
32.9b
(+.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)))))
Compiler

Compiled 2493 to 2095 computations (16% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.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)))))
0.0b
(/.f64 2 (pow.f64 x 9))
0.1b
(/.f64 2 (pow.f64 x 7))
0.2b
(/.f64 2 (pow.f64 x 5))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite25.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
221×add-sqr-sqrt_binary64
214×add-log-exp_binary64
214×log1p-expm1-u_binary64
214×expm1-log1p-u_binary64
211×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01832
144128
Stop Event
node limit
Counts
1 → 27
Calls
Call 1
Inputs
(+.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)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))) (sqrt.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -5) 3)) (pow.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))) 3)) (+.f64 (/.f64 4 (pow.f64 x 10)) (-.f64 (pow.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))) 2) (*.f64 (*.f64 2 (pow.f64 x -5)) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 10)) (pow.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))) 2)) (-.f64 (*.f64 2 (pow.f64 x -5)) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (pow.f64 x -5) 3)) (pow.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 10)) (-.f64 (pow.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))) 2) (*.f64 (*.f64 2 (pow.f64 x -5)) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 10)) (pow.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))) 2))) (neg.f64 (-.f64 (*.f64 2 (pow.f64 x -5)) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (pow.f64 x -5)) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 10))) (cbrt.f64 (*.f64 2 (pow.f64 x -5))) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))) (sqrt.f64 (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9)))))))))))

simplify26.0ms (0.9%)

Algorithm
egg-herbie
Rules
710×times-frac_binary64
440×associate-/l*_binary64
411×associate-*l/_binary64
346×fma-def_binary64
296×associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030246
187246
2205246
3427246
4786246
51969246
Stop Event
node limit
Counts
39 → 39
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 9))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))
(+.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 9)))))
(+.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (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 (/.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
Outputs
(/.f64 2 (pow.f64 x 9))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))
(+.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 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 5)))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 5))))
(+.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 (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 7)) (/.f64 2 (pow.f64 x 3))))
(+.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.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 (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 7)) (/.f64 2 (pow.f64 x 3))))
(+.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 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))))

prune117.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh022
Picked011
Done022
Total1055110
Error
0b
Counts
110 → 5
Alt Table
StatusErrorProgram
8.6b
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
8.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
39.6b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
38.5b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 (/.f64 (cbrt.f64 2) x) (cbrt.f64 (/.f64 4 (pow.f64 x 6)))) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
32.9b
(+.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)))))
Compiler

Compiled 2881 to 2409 computations (16.4% saved)

regimes242.0ms (8.4%)

Accuracy

Total 0.0b remaining (57.1%)

Threshold costs 0.0b (57.1%)

Counts
91 → 3
Compiler

Compiled 1797 to 1441 computations (19.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Calls

2 calls:

0.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Steps
ItersPointRange
2e-18
∈ [
1.78406314515437e-18
,
1.0357281709800353e-15
]
-0.5
∈ [
-0.6838719713815558
,
-1.262177448353619e-29
]
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042166
162166
280166
389166
494166
595166
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -2147483648/4294967296) (/.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)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 1298074214633707/649037107316853453566312041152512) (expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))) (/.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))))))
Outputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -2147483648/4294967296) (/.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)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 1298074214633707/649037107316853453566312041152512) (expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))) (/.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))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -1/2) (/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 2 (+.f64 1 x))))) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 1298074214633707/649037107316853453566312041152512) (expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))) (/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 2 (+.f64 1 x))))) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -1/2) (/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 1 x) -2)))) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 1298074214633707/649037107316853453566312041152512) (expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))) (/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (+.f64 x (*.f64 (+.f64 1 x) -2)))) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -1/2) (/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (+.f64 x (*.f64 2 (-.f64 -1 x))))) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 1298074214633707/649037107316853453566312041152512) (expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -5) (fma.f64 2 (pow.f64 x -3) (fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -9))))))) (/.f64 (+.f64 (*.f64 x (+.f64 1 x)) (*.f64 (+.f64 x -1) (+.f64 x (*.f64 2 (-.f64 -1 x))))) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))))

end147.0ms (5.1%)

Stop Event
fuel
Compiler

Compiled 343 to 270 computations (21.3% saved)

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