Details

Time bar (total: 5.4s)

analyze6.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.8%0.4%49.8%10
49.9%0.2%49.9%11
49.9%0.1%50%12
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample915.0ms (17.1%)

Results
901.0ms8256×body256valid
1.0ms7×body256invalid

preprocess66.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
688×times-frac_binary64
636×fma-def_binary64
499×fma-neg_binary64
445×sub-neg_binary64
390×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
12519
24617
37017
48717
510617
614917
724617
840217
968017
10114617
11162517
12208317
13326817
14608417
15772417
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (*.f64 6 (+.f64 x -1)) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))))
(*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 x -1))
(/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
(/.f64 (fma.f64 x -6 6) (fma.f64 (sqrt.f64 x) -4 (-.f64 -1 x)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify55.0ms (1%)

Algorithm
1×egg-herbie
Rules
688×times-frac_binary64
636×fma-def_binary64
499×fma-neg_binary64
445×sub-neg_binary64
390×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221
12519
24617
37017
48717
510617
614917
724617
840217
968017
10114617
11162517
12208317
13326817
14608417
15772417
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (*.f64 6 (+.f64 x -1)) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))))
(*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 x -1))
(/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
(/.f64 (fma.f64 x -6 6) (fma.f64 (sqrt.f64 x) -4 (-.f64 -1 x)))

eval1.0ms (0%)

Compiler

Compiled 27 to 20 computations (25.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶0.3b
(/.f64 (fma.f64 x -6 6) (fma.f64 (sqrt.f64 x) -4 (-.f64 -1 x)))
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (fma.f64 x -6 6) (fma.f64 (sqrt.f64 x) -4 (-.f64 -1 x)))
0.0b
(fma.f64 x -6 6)
✓0.0b
(fma.f64 x -6 6)
✓0.3b
(/.f64 (fma.f64 x -6 6) (fma.f64 (sqrt.f64 x) -4 (-.f64 -1 x)))
Compiler

Compiled 34 to 23 computations (32.4% saved)

series5.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (fma.f64 x -6 6) (fma.f64 (sqrt.f64 x) -4 (-.f64 -1 x)))
1.0ms
x
@0
(/.f64 (fma.f64 x -6 6) (fma.f64 (sqrt.f64 x) -4 (-.f64 -1 x)))
1.0ms
x
@inf
(/.f64 (fma.f64 x -6 6) (fma.f64 (sqrt.f64 x) -4 (-.f64 -1 x)))
0.0ms
x
@inf
(fma.f64 x -6 6)
0.0ms
x
@-inf
(fma.f64 x -6 6)

rewrite61.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
598×unpow-prod-down_binary64
460×log-prod_binary64
284×pow2_binary64
250×pow-prod-down_binary64
198×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
123622
2282922
Stop Event
1×node limit
Counts
2 → 104
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -6 6) (fma.f64 (sqrt.f64 x) -4 (-.f64 -1 x)))
(fma.f64 x -6 6)
Outputs
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(-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x) (cbrt.f64 (fma.f64 x -6 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)) (cbrt.f64 (fma.f64 x -6 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)) (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)) (cbrt.f64 (fma.f64 x -6 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -6 6) -1/2) -1) (pow.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x) (sqrt.f64 (fma.f64 x -6 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)) 2) (sqrt.f64 (fma.f64 x -6 6))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 (sqrt.f64 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(fma.f64 (sqrt.f64 x) -4 -1) x) (fma.f64 x -6 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x) (fma.f64 x -6 6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x -6 6) (neg.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x) (fma.f64 x -6 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 (fma.f64 (sqrt.f64 x) -4 -1) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -6) 1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -6 6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -6 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -6 6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -6 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -6 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (cbrt.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -6 6) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -6 6) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x -6 6) (cbrt.f64 (fma.f64 x -6 6))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -6 6) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -6 6))) 2) 3) (cbrt.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -6 6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -6 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -216 (pow.f64 x 3)) 216) (+.f64 (pow.f64 (*.f64 x -6) 2) (-.f64 36 (*.f64 (*.f64 x -6) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x -6) 2) 36) (fma.f64 x -6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -6 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -6 6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -6 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -6 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -6 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -6 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -6 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -6 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -6 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -6 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -6 6)))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0675
1857
21057
Stop Event
1×saturated
Counts
119 → 109
Calls
Call 1
Inputs
-6
6
6
6
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
Outputs
-6
6
6
6
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0b
(*.f64 6 (-.f64 x 1))
✓0.0b
(*.f64 6 (-.f64 x 1))
✓0.3b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 44 to 30 computations (31.8% saved)

series5.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@-inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0ms
x
@0
(*.f64 6 (-.f64 x 1))
0.0ms
x
@-inf
(*.f64 6 (-.f64 x 1))

rewrite63.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
620×log-prod_binary64
451×fma-def_binary64
329×pow2_binary64
270×fma-neg_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01228
127226
2378422
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(*.f64 6 (-.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 x -6) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (*.f64 (cbrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 x -6)) (*.f64 (sqrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -1) -6) (/.f64 1 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) 1) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) 1) (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (fma.f64 6 x -6) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 6 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 6 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (fma.f64 6 x -6) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 x 16) (*.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 6 x -6) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 6 x -6) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 6 x -6) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 6 x -6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 6 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6 x -6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 6 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 6 x -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) 6) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 6 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 6 x -6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 6 x -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 6 x -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 6 x -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 6 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 6 x -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 -6)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 6 x -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 6 x -6)))))))

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0657
11057
21257
Stop Event
1×saturated
Counts
91 → 80
Calls
Call 1
Inputs
-6
6
6
-6
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
Outputs
-6
6
6
-6
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)

eval95.0ms (1.8%)

Compiler

Compiled 3706 to 2763 computations (25.4% saved)

prune32.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1818189
Fresh000
Picked101
Done101
Total1838191
Error
0b
Counts
191 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))
▶0.1b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
▶0.1b
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
12.0b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x)))))
▶35.1b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶0.3b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
35.8b
6
30.4b
-6
Compiler

Compiled 196 to 156 computations (20.4% saved)

localize20.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
0.0b
(fma.f64 4 (sqrt.f64 x) 1)
0.0b
(+.f64 x (fma.f64 4 (sqrt.f64 x) 1))
✓0.0b
(+.f64 x (fma.f64 4 (sqrt.f64 x) 1))
✓0.0b
(fma.f64 4 (sqrt.f64 x) 1)
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
✓0.0b
(/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
Compiler

Compiled 47 to 31 computations (34% saved)

series7.0ms (0.1%)

Counts
4 → 10
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 4 (sqrt.f64 x) 1)
1.0ms
x
@-inf
(/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
1.0ms
x
@0
(/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
1.0ms
x
@inf
(fma.f64 4 (sqrt.f64 x) 1)
1.0ms
x
@inf
(/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))

rewrite76.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
642×prod-diff_binary64
551×log-prod_binary64
321×pow2_binary64
291×fma-def_binary64
222×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01252
125952
2335450
Stop Event
1×node limit
Counts
4 → 154
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
(fma.f64 4 (sqrt.f64 x) 1)
(+.f64 x (fma.f64 4 (sqrt.f64 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 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x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) 2) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 x))) (sqrt.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1810
Stop Event
1×saturated
Counts
164 → 159
Calls
Call 1
Inputs
-1
1
1
-6
6
6
1
1
x
x
Outputs
-1
1
1
-6
6
6
1
1
x
x

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓0.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 37 to 24 computations (35.1% saved)

series3.0ms (0.1%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@-inf
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite57.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
568×log-prod_binary64
415×fma-def_binary64
365×pow-prod-down_binary64
303×pow2_binary64
239×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01118
124616
2339216
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 x (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 x) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2)) (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) (*.f64 (cbrt.f64 (*.f64 6 x)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (sqrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 6 x)) (*.f64 (sqrt.f64 (*.f64 6 x)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -6) (/.f64 1 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (*.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 6 x)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 6 x)) 1) (/.f64 (sqrt.f64 (*.f64 6 x)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 6 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -2) (/.f64 (*.f64 6 x) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 6 x)) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (sqrt.f64 (*.f64 6 x)) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 x (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 6 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) -1/2) (/.f64 (*.f64 6 x) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (cbrt.f64 (*.f64 6 x)) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 6 x) (fma.f64 (pow.f64 x 3/2) 64 (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 x 16) (*.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 6 x) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (+.f64 (+.f64 x 1) (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 6 x) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 6 x) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 6 x) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))))

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
Stop Event
1×saturated
Counts
54 → 53
Calls
Call 1
Inputs
(*.f64 6 x)
6
6
Outputs
(*.f64 6 x)
6
6

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0b
(-.f64 (*.f64 6 x) 6)
✓0.0b
(-.f64 (*.f64 6 x) 6)
✓0.3b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 44 to 30 computations (31.8% saved)

series33.0ms (0.6%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
30.0ms
x
@0
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0ms
x
@0
(-.f64 (*.f64 6 x) 6)
0.0ms
x
@inf
(-.f64 (*.f64 6 x) 6)

rewrite119.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
640×log-prod_binary64
530×fma-def_binary64
352×pow2_binary64
326×fma-neg_binary64
242×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01224
128022
2393022
Stop Event
1×node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(-.f64 (*.f64 6 x) 6)
Outputs
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simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
1612
Stop Event
1×saturated
Counts
112 → 109
Calls
Call 1
Inputs
-6
6
6
-6
(*.f64 6 x)
(*.f64 6 x)
Outputs
-6
6
6
-6
(*.f64 6 x)
(*.f64 6 x)

localize19.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
0.0b
(/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
0.0b
(fma.f64 4 (sqrt.f64 x) 1)
0.0b
(+.f64 x (fma.f64 4 (sqrt.f64 x) 1))
0.0b
(+.f64 x (fma.f64 4 (sqrt.f64 x) 1))
0.0b
(fma.f64 4 (sqrt.f64 x) 1)
✓0.0b
(/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
✓0.0b
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
Compiler

Compiled 45 to 30 computations (33.3% saved)

series4.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
1.0ms
x
@inf
(/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
1.0ms
x
@0
(/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
1.0ms
x
@0
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
0.0ms
x
@-inf
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))

rewrite147.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
822×prod-diff_binary64
555×log-prod_binary64
324×fma-def_binary64
223×expm1-udef_binary64
223×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01232
126632
2353430
Stop Event
1×node limit
Counts
2 → 108
Calls
Call 1
Inputs
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
(/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))))) (cbrt.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 36 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 36 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 2))) (cbrt.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3))) (fma.f64 (fma.f64 4 (sqrt.f64 x) 1) (-.f64 (fma.f64 4 (sqrt.f64 x) 1) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2))) (-.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)))))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
Stop Event
1×saturated
Counts
114 → 111
Calls
Call 1
Inputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)
Outputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)

localize27.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))
0.0b
(/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))
0.0b
(fma.f64 4 (sqrt.f64 x) 1)
0.0b
(+.f64 x (fma.f64 4 (sqrt.f64 x) 1))
0.0b
(fma.f64 4 (sqrt.f64 x) 1)
✓0.0b
(/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))
✓0.0b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))
✓0.0b
(/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

series5.0ms (0.1%)

Counts
3 → 9
Calls

9 calls:

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

rewrite106.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
651×prod-diff_binary64
615×log-prod_binary64
295×fma-def_binary64
238×expm1-udef_binary64
238×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01354
128651
2372451
Stop Event
1×node limit
Counts
3 → 114
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))
(/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))
Outputs
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(sqrt.f64 x) 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
179
Stop Event
1×saturated
Counts
123 → 118
Calls
Call 1
Inputs
-1
1
1
-6
6
6
-1
1
1
Outputs
-1
1
1
-6
6
6
-1
1
1

eval595.0ms (11.1%)

Compiler

Compiled 13434 to 9714 computations (27.7% saved)

prune155.0ms (2.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New6586664
Fresh123
Picked101
Done224
Total66210672
Error
0b
Counts
672 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))))
▶0.2b
(/.f64 (-.f64 x 1) (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6))
▶0.1b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
35.8b
6
▶34.6b
(*.f64 6 (/.f64 (+.f64 x -1) x))
12.0b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x)))))
✓35.1b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓0.3b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶0.1b
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
30.4b
-6
Compiler

Compiled 218 to 174 computations (20.2% saved)

localize25.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))))
0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
0.0b
(+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))
0.0b
(+.f64 1 (*.f64 4 (sqrt.f64 x)))
✓0.0b
(+.f64 1 (*.f64 4 (sqrt.f64 x)))
✓0.0b
(+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
✓0.0b
(/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))))
Compiler

Compiled 55 to 37 computations (32.7% saved)

series5.0ms (0.1%)

Counts
4 → 10
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))))
0.0ms
x
@-inf
(/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))))
0.0ms
x
@inf
(/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))))
0.0ms
x
@-inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
0.0ms
x
@inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))

rewrite91.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
627×log-prod_binary64
541×fma-def_binary64
357×pow2_binary64
271×fma-neg_binary64
246×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01360
128952
2391850
Stop Event
1×node limit
Counts
4 → 181
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
(+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))
(+.f64 1 (*.f64 4 (sqrt.f64 x)))
Outputs
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(*.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (sqrt.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 x)) 1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) 1) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (cbrt.f64 (*.f64 x 16)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x 1/4)) (*.f64 2 (pow.f64 x 1/4)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 64 (pow.f64 x 3/2) 1) (/.f64 1 (+.f64 1 (fma.f64 x 16 (*.f64 -4 (sqrt.f64 x))))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x 16)) (/.f64 1 (+.f64 1 (*.f64 -4 (sqrt.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -4 (sqrt.f64 x)))) (/.f64 (*.f64 x 16) (+.f64 1 (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 64 (pow.f64 x 3/2) 1) (/.f64 1 (+.f64 1 (fma.f64 x 16 (*.f64 -4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x 16)) (/.f64 1 (+.f64 1 (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 x 16 (*.f64 -4 (sqrt.f64 x)))) (fma.f64 64 (pow.f64 x 3/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -4 (sqrt.f64 x))) (-.f64 1 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 x 3/2) 1) (+.f64 1 (fma.f64 x 16 (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 x 3/2) 1) (fma.f64 x 16 (+.f64 1 (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x 16)) (+.f64 1 (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 64 (pow.f64 x 3/2) 1)) (neg.f64 (+.f64 1 (fma.f64 x 16 (*.f64 -4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 x 16))) (neg.f64 (+.f64 1 (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 16 -1) (fma.f64 4 (sqrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 x 16 (*.f64 -4 (sqrt.f64 x)))) (fma.f64 64 (pow.f64 x 3/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 -4 (sqrt.f64 x))) (-.f64 1 (*.f64 x 16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 x)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (cbrt.f64 (*.f64 x 16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x 1/4)) (*.f64 2 (pow.f64 x 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 4 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) 1)))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1810
Stop Event
1×saturated
Counts
191 → 186
Calls
Call 1
Inputs
-1
1
1
-6
6
6
1
x
x
1
Outputs
-1
1
1
-6
6
6
1
x
x
1

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 6 (/.f64 (+.f64 x -1) x))
0.0b
(/.f64 (+.f64 x -1) x)
✓0.0b
(/.f64 (+.f64 x -1) x)
✓0.2b
(*.f64 6 (/.f64 (+.f64 x -1) x))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 6 (/.f64 (+.f64 x -1) x))
1.0ms
x
@inf
(*.f64 6 (/.f64 (+.f64 x -1) x))
0.0ms
x
@-inf
(*.f64 6 (/.f64 (+.f64 x -1) x))
0.0ms
x
@-inf
(/.f64 (+.f64 x -1) x)
0.0ms
x
@0
(/.f64 (+.f64 x -1) x)

rewrite55.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
837×pow1_binary64
784×add-log-exp_binary64
784×log1p-expm1-u_binary64
784×expm1-log1p-u_binary64
771×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115417
2205717
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(*.f64 6 (/.f64 (+.f64 x -1) x))
(/.f64 (+.f64 x -1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 6 (/.f64 (+.f64 x -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 (*.f64 x 6) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 6) -6) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 x 6) -6)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x 6) -6) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x 6) -6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x 6) -6) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (neg.f64 x)) 6) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 1 (neg.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 6 (/.f64 (+.f64 x -1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 6 (/.f64 (+.f64 x -1) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x -1) x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6 (/.f64 (+.f64 x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6 (/.f64 (+.f64 x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6 (/.f64 (+.f64 x -1) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 x -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) (sqrt.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x -1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 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 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) x)))))))

simplify19.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
24×fma-def_binary64
16×sub-neg_binary64
8×+-commutative_binary64
7×*-commutative_binary64
6×associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012138
124138
237138
358138
476138
5104138
6136138
7163138
8169138
Stop Event
1×saturated
Counts
75 → 59
Calls
Call 1
Inputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
Outputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))

localize30.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
0.0b
(/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1)))
0.0b
(+.f64 (*.f64 4 (sqrt.f64 x)) 1)
0.0b
(+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))
✓0.0b
(+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))
✓0.0b
(+.f64 (*.f64 4 (sqrt.f64 x)) 1)
✓0.0b
(/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1)))
✓0.0b
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
Compiler

Compiled 53 to 36 computations (32.1% saved)

series5.0ms (0.1%)

Counts
4 → 10
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
1.0ms
x
@-inf
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
1.0ms
x
@inf
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
0.0ms
x
@-inf
(/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1)))
0.0ms
x
@-inf
(+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))

rewrite122.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
637×log-prod_binary64
516×fma-def_binary64
319×fma-neg_binary64
253×pow1/3_binary64
248×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01349
129849
2409047
Stop Event
1×node limit
Counts
4 → 232
Calls
Call 1
Inputs
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
(/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1)))
(+.f64 (*.f64 4 (sqrt.f64 x)) 1)
(+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1) (*.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 6 x -6)) (+.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) -1) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (fma.f64 x x -1)) (*.f64 (+.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 6) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (*.f64 (+.f64 x 1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x 1) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) -6) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -6) (*.f64 (+.f64 x 1) (+.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) (pow.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3)) (fma.f64 (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 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(+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 1/4) 2) (*.f64 (pow.f64 x 1/4) 2) (+.f64 1 x))))) (#(struct:change 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(sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))

simplify93.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
1816
Stop Event
1×saturated
Counts
242 → 237
Calls
Call 1
Inputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)
1
1
x
x
Outputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)
1
1
x
x

localize28.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))))
0.0b
(/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))
0.0b
(+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))
0.0b
(+.f64 1 (*.f64 4 (sqrt.f64 x)))
0.0b
(+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))
✓0.0b
(/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))
✓0.0b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))))
✓0.0b
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
Compiler

Compiled 71 to 49 computations (31% saved)

series7.0ms (0.1%)

Counts
3 → 9
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))
1.0ms
x
@inf
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
1.0ms
x
@0
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
0.0ms
x
@-inf
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
0.0ms
x
@-inf
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))))

rewrite81.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
691×log-prod_binary64
545×fma-def_binary64
280×fma-neg_binary64
262×expm1-udef_binary64
262×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01460
131651
2429251
Stop Event
1×node limit
Counts
3 → 114
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))))
(/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))) (*.f64 -1 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))) (*.f64 x (/.f64 1 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) x) (*.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) -1) (*.f64 (/.f64 1 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (/.f64 1 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x -1))) (*.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) (/.f64 1 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) 1) (/.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) 2) (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)) (+.f64 x -1))))))))

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
179
Stop Event
1×saturated
Counts
123 → 118
Calls
Call 1
Inputs
-1
1
1
-6
6
6
-1
1
1
Outputs
-1
1
1
-6
6
6
-1
1
1

localize32.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6)
0.0b
(/.f64 (-.f64 x 1) (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6))
✓0.0b
(/.f64 (-.f64 x 1) (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6))
✓0.2b
(*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6)
Compiler

Compiled 42 to 28 computations (33.3% saved)

series72.0ms (1.4%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
70.0ms
x
@0
(*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6)
1.0ms
x
@inf
(*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6)
1.0ms
x
@-inf
(*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6)
0.0ms
x
@-inf
(/.f64 (-.f64 x 1) (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6))
0.0ms
x
@0
(/.f64 (-.f64 x 1) (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6))

rewrite83.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
540×log-prod_binary64
399×prod-diff_binary64
331×pow-prod-down_binary64
292×pow2_binary64
251×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
124632
2327032
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6)
(/.f64 (-.f64 x 1) (*.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 1 x)) 1/6))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2) (cbrt.f64 (*.f64 x (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (sqrt.f64 (*.f64 x (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 x 1/6) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (/.f64 x (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) -2) (/.f64 x (cbrt.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) -1/2) (/.f64 x (sqrt.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (sqrt.f64 x) 1/6) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1/6) (/.f64 (sqrt.f64 x) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (cbrt.f64 x) 1/6) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (/.f64 (cbrt.f64 x) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 1/36 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 1/36 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))) (neg.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))))

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
1712
Stop Event
1×saturated
Counts
130 → 128
Calls
Call 1
Inputs
1/6
(*.f64 1/6 x)
(*.f64 1/6 x)
-6
6
6
Outputs
1/6
(*.f64 1/6 x)
(*.f64 1/6 x)
-6
6
6

eval438.0ms (8.2%)

Compiler

Compiled 17789 to 12859 computations (27.7% saved)

prune103.0ms (1.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New7957802
Fresh213
Picked101
Done156
Total79913812
Error
0b
Counts
812 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6)))
✓34.6b
(*.f64 6 (/.f64 (+.f64 x -1) x))
✓35.1b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶29.2b
(/.f64 (-.f64 x 1) 1/6)
30.4b
-6
▶34.9b
(/.f64 (+.f64 (*.f64 x 6) -6) x)
▶34.6b
(+.f64 6 (/.f64 -6 x))
▶3.2b
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
12.0b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x)))))
✓0.3b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓0.1b
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
✓0.1b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
35.8b
6
Compiler

Compiled 212 to 170 computations (19.8% saved)

localize24.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (*.f64 4 (sqrt.f64 x)) 1/6)
0.2b
(*.f64 (+.f64 x 1) 1/6)
0.0b
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6)))
0.0b
(+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6))
✓0.0b
(+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6))
✓0.0b
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6)))
✓0.2b
(*.f64 (+.f64 x 1) 1/6)
✓0.4b
(*.f64 (*.f64 4 (sqrt.f64 x)) 1/6)
Compiler

Compiled 56 to 40 computations (28.6% saved)

series7.0ms (0.1%)

Counts
4 → 18
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6)))
1.0ms
x
@inf
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6)))
1.0ms
x
@0
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6)))
1.0ms
x
@0
(*.f64 (*.f64 4 (sqrt.f64 x)) 1/6)
1.0ms
x
@-inf
(*.f64 (*.f64 4 (sqrt.f64 x)) 1/6)

rewrite90.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
708×log-prod_binary64
551×fma-def_binary64
317×fma-neg_binary64
247×pow1/3_binary64
246×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01352
129545
2408939
Stop Event
1×node limit
Counts
4 → 169
Calls
Call 1
Inputs
(*.f64 (*.f64 4 (sqrt.f64 x)) 1/6)
(*.f64 (+.f64 x 1) 1/6)
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6)))
(+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6))
Outputs
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exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) 2/3 (fma.f64 x 1/6 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) 2/3 (fma.f64 x 1/6 1/6))))))))

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×*-commutative_binary64
2×fma-def_binary64
1×distribute-rgt1-in_binary64
1×1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0784
1966
21466
31866
Stop Event
1×saturated
Counts
187 → 173
Calls
Call 1
Inputs
1/6
(+.f64 1/6 (*.f64 1/6 x))
(+.f64 1/6 (*.f64 1/6 x))
(+.f64 1/6 (*.f64 1/6 x))
(*.f64 1/6 x)
(+.f64 1/6 (*.f64 1/6 x))
(+.f64 1/6 (*.f64 1/6 x))
(+.f64 1/6 (*.f64 1/6 x))
(*.f64 1/6 x)
(+.f64 1/6 (*.f64 1/6 x))
(+.f64 1/6 (*.f64 1/6 x))
(+.f64 1/6 (*.f64 1/6 x))
-6
6
6
1/6
(*.f64 1/6 x)
(*.f64 1/6 x)
Outputs
1/6
(+.f64 1/6 (*.f64 1/6 x))
(fma.f64 1/6 x 1/6)
(+.f64 1/6 (*.f64 1/6 x))
(fma.f64 1/6 x 1/6)
(+.f64 1/6 (*.f64 1/6 x))
(fma.f64 1/6 x 1/6)
(*.f64 1/6 x)
(+.f64 1/6 (*.f64 1/6 x))
(fma.f64 1/6 x 1/6)
(+.f64 1/6 (*.f64 1/6 x))
(fma.f64 1/6 x 1/6)
(+.f64 1/6 (*.f64 1/6 x))
(fma.f64 1/6 x 1/6)
(*.f64 1/6 x)
(+.f64 1/6 (*.f64 1/6 x))
(fma.f64 1/6 x 1/6)
(+.f64 1/6 (*.f64 1/6 x))
(fma.f64 1/6 x 1/6)
(+.f64 1/6 (*.f64 1/6 x))
(fma.f64 1/6 x 1/6)
-6
6
6
1/6
(*.f64 1/6 x)
(*.f64 1/6 x)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 6 (/.f64 -6 x))
✓0.0b
(+.f64 6 (/.f64 -6 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 6 (/.f64 -6 x))
0.0ms
x
@0
(+.f64 6 (/.f64 -6 x))
0.0ms
x
@-inf
(+.f64 6 (/.f64 -6 x))

rewrite47.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
686×pow1_binary64
646×add-log-exp_binary64
646×log1p-expm1-u_binary64
646×expm1-log1p-u_binary64
636×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11377
217097
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 6 (/.f64 -6 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 6 (/.f64 -6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (-.f64 6 (/.f64 -6 x))) (/.f64 (/.f64 36 (*.f64 x x)) (-.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6 (/.f64 -6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 6 (/.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) 2) (cbrt.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 6 (/.f64 -6 x))) (sqrt.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (/.f64 36 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x))) (+.f64 216 (/.f64 -216 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6 (/.f64 -6 x)) (-.f64 36 (/.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3))) (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3))) (+.f64 (/.f64 36 (*.f64 x x)) (-.f64 36 (/.f64 -36 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (/.f64 36 (*.f64 x x))) (-.f64 6 (/.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (/.f64 36 (*.f64 x x)))) (neg.f64 (-.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 36 (*.f64 x x)) 36) (-.f64 (/.f64 -6 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -6 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -6 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -6 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 (/.f64 1 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -6 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6 x)) 2) (cbrt.f64 (/.f64 -6 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -6 x)) (sqrt.f64 (/.f64 -6 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (/.f64 -6 x))))))))

simplify14.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
22×fma-def_binary64
15×sub-neg_binary64
8×+-commutative_binary64
8×fma-neg_binary64
7×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11969
23069
34869
46669
59169
612169
714969
816769
917069
Stop Event
1×saturated
Counts
43 → 35
Calls
Call 1
Inputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
Outputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 x 1) 1/6)
✓0.2b
(/.f64 (-.f64 x 1) 1/6)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (-.f64 x 1) 1/6)
0.0ms
x
@inf
(/.f64 (-.f64 x 1) 1/6)
0.0ms
x
@-inf
(/.f64 (-.f64 x 1) 1/6)

rewrite45.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
647×pow1_binary64
613×add-log-exp_binary64
612×log1p-expm1-u_binary64
612×expm1-log1p-u_binary64
604×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11367
216837
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 (-.f64 x 1) 1/6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 x 6) -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x 6) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 6) -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (cbrt.f64 (+.f64 (*.f64 x 6) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (sqrt.f64 (+.f64 (*.f64 x 6) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) 1) -6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 6) -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x 6) -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/6 (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x 6) -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 6) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x 6) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x 6) -6)))))))

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0654
11054
21254
Stop Event
1×saturated
Counts
37 → 29
Calls
Call 1
Inputs
-6
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
Outputs
-6
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (+.f64 (*.f64 x 6) -6) x)
0.0b
(+.f64 (*.f64 x 6) -6)
✓0.0b
(+.f64 (*.f64 x 6) -6)
✓0.3b
(/.f64 (+.f64 (*.f64 x 6) -6) x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 x 6) -6) x)
0.0ms
x
@inf
(/.f64 (+.f64 (*.f64 x 6) -6) x)
0.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 x 6) -6) x)
0.0ms
x
@-inf
(+.f64 (*.f64 x 6) -6)
0.0ms
x
@0
(+.f64 (*.f64 x 6) -6)

rewrite53.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
836×pow1_binary64
785×add-log-exp_binary64
785×log1p-expm1-u_binary64
785×expm1-log1p-u_binary64
772×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115813
2205213
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x 6) -6) x)
(+.f64 (*.f64 x 6) -6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 x 6 -6) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 -6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 6 -6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 6 -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (*.f64 (cbrt.f64 (fma.f64 x 6 -6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 6 -6)) (*.f64 (sqrt.f64 (fma.f64 x 6 -6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)) (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 6 -6)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 x 6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 6 -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) 1) (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 6 -6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x 6 -6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 -6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x 6 -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 6 -6) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 6 -6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 6 -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 36 (*.f64 x x)) (fma.f64 x 6 6)) (/.f64 36 (fma.f64 x 6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 6 -6)) (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (cbrt.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -216 (*.f64 216 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 36 (*.f64 x x)) (-.f64 36 (*.f64 x -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 36 (*.f64 x x)) -36) (/.f64 1 (fma.f64 x 6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 36 (*.f64 x x)) (-.f64 36 (*.f64 x -36))) (+.f64 -216 (*.f64 216 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 6 6) (+.f64 (*.f64 36 (*.f64 x x)) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -216 (*.f64 216 (pow.f64 x 3))) (+.f64 (*.f64 36 (*.f64 x x)) (-.f64 36 (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -216 (*.f64 216 (pow.f64 x 3))) (+.f64 36 (-.f64 (*.f64 36 (*.f64 x x)) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 36 (*.f64 x x)) -36) (fma.f64 x 6 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -216 (*.f64 216 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 36 (*.f64 x x)) (-.f64 36 (*.f64 x -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 36 (*.f64 x x)) -36)) (neg.f64 (fma.f64 x 6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (*.f64 36 (*.f64 x x))) (-.f64 -6 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 6 -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 6 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 6 -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 6 -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 6 -6)))))))

simplify24.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
22×fma-def_binary64
16×sub-neg_binary64
10×fma-neg_binary64
9×+-commutative_binary64
8×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011123
124123
237123
355123
473123
598123
6128123
7156123
8174123
9177123
Stop Event
1×saturated
Counts
87 → 71
Calls
Call 1
Inputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
-6
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
Outputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
-6
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(*.f64 6 x)
(*.f64 x 6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(*.f64 6 x)
(*.f64 x 6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
0.0b
(/.f64 6 (+.f64 x 1))
✓0.0b
(/.f64 6 (+.f64 x 1))
✓0.0b
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
Compiler

Compiled 25 to 19 computations (24% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
1.0ms
x
@0
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
0.0ms
x
@inf
(/.f64 6 (+.f64 x 1))
0.0ms
x
@-inf
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
0.0ms
x
@0
(/.f64 6 (+.f64 x 1))

rewrite75.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
603×unpow-prod-down_binary64
424×log-prod_binary64
342×prod-diff_binary64
283×pow-prod-down_binary64
240×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
120220
2271918
Stop Event
1×node limit
Counts
2 → 126
Calls
Call 1
Inputs
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
(/.f64 6 (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 6 (+.f64 x 1))) (/.f64 -6 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 (+.f64 x 1)) (*.f64 x (/.f64 6 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 6 (+.f64 x 1))) 1) (*.f64 (/.f64 -6 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (*.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (*.f64 (+.f64 x 1) 1/6) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (*.f64 (+.f64 x 1) 1/6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 6 x -6) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 6 x -6)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 -1 (neg.f64 x)) (-.f64 (fma.f64 x x 1) (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (fma.f64 x x -1)) (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 6) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (*.f64 (+.f64 x 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) -6) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -6) (*.f64 (+.f64 x 1) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 6 (+.f64 x 1))) 3) (pow.f64 (/.f64 -6 (+.f64 x 1)) 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 6 (+.f64 x 1))) 2) (-.f64 (pow.f64 (/.f64 -6 (+.f64 x 1)) 2) (*.f64 (*.f64 x (/.f64 6 (+.f64 x 1))) (/.f64 -6 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 6 (+.f64 x 1))) 2) (pow.f64 (/.f64 -6 (+.f64 x 1)) 2)) (-.f64 (*.f64 x (/.f64 6 (+.f64 x 1))) (/.f64 -6 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 6 x -6) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (+.f64 x -1)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 6 (+.f64 x 1))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 6 (+.f64 x 1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (+.f64 x 1)) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) -6) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x 1))) 2)))) 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simplify56.0ms (1%)

Algorithm
1×egg-herbie
Rules
670×fma-def_binary64
570×associate-/l*_binary64
358×div-sub_binary64
325×*-commutative_binary64
302×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052321
1162312
2451310
31281296
43945296
57592296
Stop Event
1×node limit
Counts
150 → 153
Calls
Call 1
Inputs
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6)
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
6
(+.f64 6 (*.f64 -6 x))
(+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 6 (*.f64 -6 x)))
(+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 6 (+.f64 (*.f64 -6 x) (*.f64 -6 (pow.f64 x 3)))))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 x))) (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 x))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 x))) (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 x))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
Outputs
-6
(-.f64 (*.f64 12 x) 6)
(fma.f64 12 x -6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -12 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -12 (*.f64 x x) -6))
(fma.f64 x (*.f64 x -12) (fma.f64 12 x -6))
(fma.f64 x (fma.f64 x -12 12) -6)
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6)
(+.f64 (fma.f64 12 x (fma.f64 12 (pow.f64 x 3) (*.f64 -12 (*.f64 x x)))) -6)
(+.f64 (*.f64 12 (+.f64 x (pow.f64 x 3))) (fma.f64 -12 (*.f64 x x) -6))
(fma.f64 12 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -12) -6))
(fma.f64 x (fma.f64 x -12 12) (fma.f64 12 (pow.f64 x 3) -6))
(fma.f64 (*.f64 x x) (fma.f64 12 x -12) (fma.f64 12 x -6))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 12 x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x)))
(-.f64 6 (*.f64 (/.f64 1 x) (+.f64 12 (/.f64 -12 x))))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (-.f64 6 (/.f64 12 (pow.f64 x 3))) (/.f64 -12 x)))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 -12 x) (-.f64 6 (/.f64 12 (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12)) (+.f64 6 (/.f64 -12 (pow.f64 x 3))))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 12 x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x)))
(-.f64 6 (*.f64 (/.f64 1 x) (+.f64 12 (/.f64 -12 x))))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (-.f64 6 (/.f64 12 (pow.f64 x 3))) (/.f64 -12 x)))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 -12 x) (-.f64 6 (/.f64 12 (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12)) (+.f64 6 (/.f64 -12 (pow.f64 x 3))))
6
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 6 (*.f64 -6 x)))
(fma.f64 6 (*.f64 x x) (+.f64 6 (*.f64 -6 x)))
(fma.f64 6 (*.f64 x x) (fma.f64 -6 x 6))
(fma.f64 x (*.f64 x 6) (fma.f64 -6 x 6))
(fma.f64 x (fma.f64 x 6 -6) 6)
(+.f64 (*.f64 6 (pow.f64 x 2)) (+.f64 6 (+.f64 (*.f64 -6 x) (*.f64 -6 (pow.f64 x 3)))))
(fma.f64 6 (*.f64 x x) (+.f64 6 (*.f64 -6 (+.f64 x (pow.f64 x 3)))))
(fma.f64 6 (*.f64 x x) (fma.f64 -6 (+.f64 x (pow.f64 x 3)) 6))
(fma.f64 -6 (+.f64 x (pow.f64 x 3)) (*.f64 6 (fma.f64 x x 1)))
(*.f64 (fma.f64 x x 1) (fma.f64 -6 x 6))
(*.f64 (fma.f64 -6 x 6) (fma.f64 x x 1))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 6 x) (/.f64 6 (*.f64 x x)))
(+.f64 (/.f64 6 x) (/.f64 -6 (*.f64 x x)))
(+.f64 (/.f64 6 x) (/.f64 (/.f64 -6 x) x))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 x))) (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (-.f64 (/.f64 6 x) (/.f64 6 (*.f64 x x))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (+.f64 (/.f64 6 x) (/.f64 -6 (*.f64 x x))))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 6 (pow.f64 x 3)) (/.f64 -6 (*.f64 x x))))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 6 (pow.f64 x 3)) (/.f64 (/.f64 -6 x) x)))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 x))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (-.f64 (/.f64 6 x) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 6 (pow.f64 x 4)))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 6 x) (/.f64 -6 (*.f64 x x))) (/.f64 -6 (pow.f64 x 4))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (+.f64 (/.f64 -6 (*.f64 x x)) (-.f64 (/.f64 6 x) (/.f64 6 (pow.f64 x 4)))))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 (/.f64 -6 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 6 (/.f64 -6 x)))))
(/.f64 6 x)
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 6 x) (/.f64 6 (*.f64 x x)))
(+.f64 (/.f64 6 x) (/.f64 -6 (*.f64 x x)))
(+.f64 (/.f64 6 x) (/.f64 (/.f64 -6 x) x))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 x))) (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (-.f64 (/.f64 6 x) (/.f64 6 (*.f64 x x))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (+.f64 (/.f64 6 x) (/.f64 -6 (*.f64 x x))))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 6 (pow.f64 x 3)) (/.f64 -6 (*.f64 x x))))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 6 (pow.f64 x 3)) (/.f64 (/.f64 -6 x) x)))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 3))) (*.f64 6 (/.f64 1 x))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (-.f64 (/.f64 6 x) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 6 (pow.f64 x 4)))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 6 x) (/.f64 -6 (*.f64 x x))) (/.f64 -6 (pow.f64 x 4))))
(+.f64 (/.f64 6 (pow.f64 x 3)) (+.f64 (/.f64 -6 (*.f64 x x)) (-.f64 (/.f64 6 x) (/.f64 6 (pow.f64 x 4)))))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 (/.f64 -6 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 6 (/.f64 -6 x)))))

eval208.0ms (3.9%)

Compiler

Compiled 7293 to 5540 computations (24% saved)

prune67.0ms (1.3%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New45110461
Fresh213
Picked101
Done459
Total45816474
Error
0b
Counts
474 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
27.4b
(/.f64 (-.f64 x 1) (+.f64 (log.f64 (exp.f64 (*.f64 (sqrt.f64 x) 2/3))) (*.f64 (+.f64 x 1) 1/6)))
✓0.2b
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6)))
3.2b
(+.f64 (/.f64 -6 (+.f64 x 1)) (*.f64 x (/.f64 6 (+.f64 x 1))))
34.6b
(+.f64 6 (/.f64 -12 x))
29.2b
(-.f64 (*.f64 12 x) 6)
47.2b
(/.f64 (/.f64 (-.f64 36 (*.f64 36 (*.f64 x x))) (-.f64 -6 (*.f64 x 6))) x)
✓0.1b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
36.1b
(/.f64 (*.f64 6 x) x)
3.3b
(*.f64 (*.f64 6 (/.f64 1 (+.f64 x 1))) (+.f64 x -1))
28.0b
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) 1/6))
✓35.1b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
30.4b
-6
✓0.3b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓0.1b
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
35.8b
6
3.2b
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
Compiler

Compiled 179 to 144 computations (19.6% saved)

regimes13.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
6
-6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (*.f64 6 (/.f64 1 (+.f64 x 1))) (+.f64 x -1))
(+.f64 (/.f64 -6 (+.f64 x 1)) (*.f64 x (/.f64 6 (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 36 (*.f64 36 (*.f64 x x))) (-.f64 -6 (*.f64 x 6))) x)
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) 1/6))
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) (*.f64 (+.f64 x 1) 1/6)))
(/.f64 (-.f64 x 1) (+.f64 (log.f64 (exp.f64 (*.f64 (sqrt.f64 x) 2/3))) (*.f64 (+.f64 x 1) 1/6)))
Outputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 166 to 124 computations (25.3% saved)

regimes12.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
6
-6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (*.f64 6 (/.f64 1 (+.f64 x 1))) (+.f64 x -1))
(+.f64 (/.f64 -6 (+.f64 x 1)) (*.f64 x (/.f64 6 (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 36 (*.f64 36 (*.f64 x x))) (-.f64 -6 (*.f64 x 6))) x)
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) 1/6))
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 120 to 90 computations (25% saved)

regimes15.0ms (0.3%)

Counts
11 → 2
Calls
Call 1
Inputs
6
-6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (*.f64 6 (/.f64 1 (+.f64 x 1))) (+.f64 x -1))
(+.f64 (/.f64 -6 (+.f64 x 1)) (*.f64 x (/.f64 6 (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 36 (*.f64 36 (*.f64 x x))) (-.f64 -6 (*.f64 x 6))) x)
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) 1/6))
Outputs
(/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) 1/6))
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
2.0b2x
Compiler

Compiled 92 to 70 computations (23.9% saved)

bsearch23.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
0.39211478482209317
24.519932271271855
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes9.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
6
-6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (*.f64 6 (/.f64 1 (+.f64 x 1))) (+.f64 x -1))
(+.f64 (/.f64 -6 (+.f64 x 1)) (*.f64 x (/.f64 6 (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 36 (*.f64 36 (*.f64 x x))) (-.f64 -6 (*.f64 x 6))) x)
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
3.2b1x
Compiler

Compiled 80 to 61 computations (23.8% saved)

regimes12.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
6
-6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
Outputs
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
3.2b2x
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch95.0ms (1.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
95.0ms
0.39211478482209317
24.519932271271855
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes52.0ms (1%)

Counts
4 → 2
Calls
Call 1
Inputs
6
-6
(/.f64 (*.f64 6 x) x)
(-.f64 (*.f64 12 x) 6)
Outputs
(-.f64 (*.f64 12 x) 6)
6
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
3.2b2x
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch22.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
0.39211478482209317
24.519932271271855
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes10.0ms (0.2%)

Accuracy

Total -59.8b remaining (-1850.4%)

Threshold costs -59.8b (-1850.4%)

Counts
3 → 2
Calls
Call 1
Inputs
6
-6
(/.f64 (*.f64 6 x) x)
Outputs
-6
6
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
3.2b2x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch46.0ms (0.9%)

Algorithm
1×binary-search
Steps
TimeLeftRight
46.0ms
0.39211478482209317
24.519932271271855
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042140
161140
262140
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
(if (<=.f64 x 7233241083130843136/18446744073709551616) (/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) 1/6)) (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(if (<=.f64 x 7233241083130843136/18446744073709551616) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 7233241083130843136/18446744073709551616) (-.f64 (*.f64 12 x) 6) 6)
(if (<=.f64 x 7233241083130843136/18446744073709551616) -6 6)
6
Outputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
(*.f64 (/.f64 6 (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1))) (+.f64 x -1))
(*.f64 (+.f64 x -1) (/.f64 6 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))))
(if (<=.f64 x 7233241083130843136/18446744073709551616) (/.f64 (-.f64 x 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6) 1/6)) (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
(if (<=.f64 x 1765927998811241/4503599627370496) (/.f64 (+.f64 x -1) (+.f64 1/6 (*.f64 (*.f64 4 (sqrt.f64 x)) 1/6))) (/.f64 (*.f64 6 x) (+.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1))))
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(if (<=.f64 x 7233241083130843136/18446744073709551616) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1765927998811241/4503599627370496) (+.f64 (*.f64 x 12) -6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 7233241083130843136/18446744073709551616) (-.f64 (*.f64 12 x) 6) 6)
(if (<=.f64 x 1765927998811241/4503599627370496) (+.f64 (*.f64 x 12) -6) 6)
(if (<=.f64 x 7233241083130843136/18446744073709551616) -6 6)
(if (<=.f64 x 1765927998811241/4503599627370496) -6 6)
6

end137.0ms (2.6%)

Stop Event
1×fuel
Compiler

Compiled 201 to 157 computations (21.9% saved)

Profiling

Loading profile data...