Details

Time bar (total: 4.9s)

analyze4.0ms (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)

sample1.4s (28.6%)

Results
1.4s8256×body256valid
1.0ms7×body256invalid

preprocess163.0ms (3.4%)

Algorithm
2×egg-herbie
Rules
688×times-frac_binary64
636×fma-def_binary64
499×fma-neg_binary64
443×associate-/r*_binary64
333×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
12519
24617
37017
48717
510717
615017
724717
840317
968217
10115017
11163117
12209117
13325717
14614417
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 6 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
(*.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) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify91.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
688×times-frac_binary64
636×fma-def_binary64
499×fma-neg_binary64
443×associate-/r*_binary64
333×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221
12519
24617
37017
48717
510717
615017
724717
840317
968217
10115017
11163117
12209117
13325717
14614417
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 6 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
(*.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) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
▶0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize45.0ms (0.9%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 6 (-.f64 x 1))
✓0.0b
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 44 to 30 computations (31.8% saved)

series7.0ms (0.1%)

Counts
3 → 18
Calls

9 calls:

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

rewrite126.0ms (2.6%)

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
01240
127236
2379532
Stop Event
1×node limit
Counts
3 → 162
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(+.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 (fma.f64 4 (sqrt.f64 x) 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 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 x -6) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) 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 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 (fma.f64 4 (sqrt.f64 x) 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 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -1) -6) (/.f64 1 (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) 1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x -1) 2) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))) (/.f64 (*.f64 x 16) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 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(-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 (-.f64 x -1) (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 /.f64 (neg.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3))) (neg.f64 (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)) (pow.f64 (-.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (neg.f64 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3)) (fma.f64 x x (-.f64 (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 /.f64 (-.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 /.f64 (-.f64 (*.f64 x 16) (pow.f64 (-.f64 x -1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 x -1)) (pow.f64 (-.f64 x -1) 2)) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (-.f64 x -1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x -1))) (pow.f64 (exp.f64 4) (sqrt.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 log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x -1))) (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x)))) (exp.f64 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (sqrt.f64 x)) (+.f64 1 (expm1.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 x (*.f64 4 (sqrt.f64 x)))) 1))))) (#(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 x 1 (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 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 x (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(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 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 (-.f64 x -1) 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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 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 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 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)) (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 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 (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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (fma.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)) (-.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 (-.f64 x -1)) (pow.f64 (cbrt.f64 (-.f64 x -1)) 2) (*.f64 4 (sqrt.f64 x)))))) (#(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 (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) (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(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 (*.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 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -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 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(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 (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 (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)) (-.f64 x -1) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (*.f64 4 (sqrt.f64 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 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(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 +.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 expm1.f64 (log1p.f64 (fma.f64 6 x -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 fma.f64 6 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 -6)))))

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0760
11360
21560
Stop Event
1×saturated
Counts
180 → 168
Calls
Call 1
Inputs
-6
6
6
1
x
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
-6
6
6
1
x
x
-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)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 4 (sqrt.f64 x) x)
✓0.1b
(fma.f64 x -6 6)
✓0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
Compiler

Compiled 36 to 23 computations (36.1% saved)

series6.0ms (0.1%)

Counts
3 → 17
Calls

9 calls:

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

rewrite130.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
464×log-prod_binary64
366×exp-prod_binary64
284×pow2_binary64
254×pow-prod-down_binary64
197×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
123729
2286329
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
(fma.f64 x -6 6)
(fma.f64 4 (sqrt.f64 x) x)
Outputs
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simplify11.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0677
1859
21059
Stop Event
1×saturated
Counts
141 → 130
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))
x
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)
x
x

eval152.0ms (3.1%)

Compiler

Compiled 5548 to 4048 computations (27% saved)

prune50.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2899298
Fresh000
Picked101
Done011
Total29010300
Error
0b
Counts
300 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
16.8b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
33.7b
-6
▶2.8b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
▶31.0b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶31.0b
(/.f64 (*.f64 6 (-.f64 x 1)) x)
▶32.5b
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
32.1b
6
Compiler

Compiled 199 to 158 computations (20.6% saved)

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 47 to 30 computations (36.2% saved)

series42.0ms (0.9%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
39.0ms
x
@-inf
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
1.0ms
x
@0
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
1.0ms
x
@inf
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
0.0ms
x
@0
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
0.0ms
x
@-inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))

rewrite75.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
540×log-prod_binary64
323×pow-prod-down_binary64
314×pow2_binary64
246×prod-diff_binary64
220×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01235
126035
2329433
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) 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 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x -1)) (/.f64 1 (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) 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 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -2) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/2) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.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 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.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 (fma.f64 4 (sqrt.f64 x) x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.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 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 6 -6)) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) 1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2)) (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x -1)) 6) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (neg.f64 (+.f64 x -1))) (+.f64 -1 (neg.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x 6 -6)) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))

simplify50.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
046
176
Stop Event
1×saturated
Counts
74 → 72
Calls
Call 1
Inputs
-1
1
1
-6
6
6
Outputs
-1
1
1
-6
6
6

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 15 computations (21.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 6 (-.f64 x 1))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
830×pow1_binary64
782×add-log-exp_binary64
781×log1p-expm1-u_binary64
781×expm1-log1p-u_binary64
768×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115410
2209110
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 6 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 6 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 6) -6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (*.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2) (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (*.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) (sqrt.f64 (*.f64 (/.f64 6 x) (+.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 *.f64 (/.f64 1 x) (+.f64 (*.f64 x 6) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) 1) (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) 1) (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (*.f64 x 6) -6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 6 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (*.f64 x 6) -6)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (sqrt.f64 x)) (/.f64 (+.f64 x -1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (sqrt.f64 x)) (/.f64 6 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (*.f64 x 6) -6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (*.f64 x 6) -6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 x 6) -6) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (*.f64 x 6) -6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))))

simplify45.0ms (0.9%)

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
53 → 45
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))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x -6 6)
✓0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite71.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
904×pow1_binary64
846×add-log-exp_binary64
846×log1p-expm1-u_binary64
846×expm1-log1p-u_binary64
833×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
117411
2218611
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.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) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 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 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 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 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x -6 6)) (/.f64 1 (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.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)) (-.f64 -1 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)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (fma.f64 x -6 6) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (fma.f64 x -6 6) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (sqrt.f64 (-.f64 -1 x))) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x -6 6) (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))))

simplify112.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
543×associate-*l*_binary64
513×fma-neg_binary64
426×times-frac_binary64
396×associate-/r*_binary64
381×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031139
191136
2230134
3627129
41936124
57468124
Stop Event
1×node limit
Counts
45 → 47
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))))
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 12 x (fma.f64 x (*.f64 x -12) -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 12 x (fma.f64 x (*.f64 x (fma.f64 12 x -12)) -6))
(fma.f64 x (+.f64 12 (*.f64 x (fma.f64 12 x -12))) -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 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12)))
(-.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 6 (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (+.f64 6 (/.f64 -12 x)))
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 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12)))
(-.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 6 (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (+.f64 6 (/.f64 -12 x)))

localize31.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiled 37 to 24 computations (35.1% saved)

series5.0ms (0.1%)

Counts
1 → 3
Calls

3 calls:

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

rewrite89.0ms (1.8%)

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
2340416
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 expm1.f64 (log1p.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(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))))))

simplify13.0ms (0.3%)

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

eval181.0ms (3.7%)

Compiler

Compiled 6645 to 4923 computations (25.9% saved)

prune135.0ms (2.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New4278435
Fresh134
Picked011
Done415
Total43213445
Error
0b
Counts
445 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.2b
(/.f64 (*.f64 6 x) x)
▶0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
▶30.9b
(+.f64 6 (/.f64 -12 x))
16.8b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓31.0b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
31.1b
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
31.0b
(*.f64 (/.f64 6 x) (+.f64 x -1))
32.1b
6
▶31.0b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
33.7b
-6
32.5b
(-.f64 (*.f64 12 x) 6)
Compiler

Compiled 230 to 182 computations (20.9% saved)

localize21.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 55 to 36 computations (34.5% saved)

series4.0ms (0.1%)

Counts
3 → 8
Calls

9 calls:

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

rewrite120.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
634×log-prod_binary64
512×fma-def_binary64
357×pow2_binary64
307×fma-neg_binary64
246×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01342
129142
2394740
Stop Event
1×node limit
Counts
3 → 137
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
(+.f64 (*.f64 4 (sqrt.f64 x)) x)
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) 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) 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simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
058
188
Stop Event
1×saturated
Counts
145 → 142
Calls
Call 1
Inputs
-1
1
1
x
x
-6
6
6
Outputs
-1
1
1
x
x
-6
6
6

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize50.0ms (1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite44.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
491×pow1_binary64
477×add-sqr-sqrt_binary64
467×add-log-exp_binary64
467×log1p-expm1-u_binary64
467×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11081
214721
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 6 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 6)))))

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
13 → 1
Calls
Call 1
Inputs
6
6
6
6
6
6
6
6
6
6
6
6
Outputs
6
6
6
6
6
6
6
6
6
6
6
6

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
✓0.3b
(*.f64 6 (/.f64 1 x))
Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite68.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
887×pow1_binary64
828×add-log-exp_binary64
827×log1p-expm1-u_binary64
827×expm1-log1p-u_binary64
814×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
118814
2226314
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 6 (/.f64 1 x))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -6 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 6 x)) (*.f64 -1 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 6 x)) (*.f64 x (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 x) x) (*.f64 (/.f64 6 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 x) -1) (*.f64 (/.f64 6 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 6 (+.f64 x -1)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 -1 (pow.f64 x 3))) (*.f64 x (fma.f64 x x (-.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (*.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 6) (*.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (*.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 6 x)) (fma.f64 x x (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 6 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 6 (+.f64 x -1)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 6 (+.f64 x -1)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 6 (+.f64 x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 6 (+.f64 x -1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 6 (+.f64 x -1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 6 (+.f64 x -1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 6 (+.f64 x -1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 6 (+.f64 x -1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 6 x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 6 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 6 (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 6 (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 6 (+.f64 x -1)) x)))))))

simplify18.0ms (0.4%)

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
010117
119117
230117
348117
466117
591117
6121117
7149117
8167117
9170117
Stop Event
1×saturated
Counts
68 → 48
Calls
Call 1
Inputs
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.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 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.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))

localize18.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 4 (sqrt.f64 x)) x)
0.1b
(fma.f64 x -6 6)
✓0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
Compiler

Compiled 43 to 28 computations (34.9% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite78.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
989×prod-diff_binary64
562×log-prod_binary64
351×fma-def_binary64
227×expm1-udef_binary64
227×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
126917
2353017
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x -6 6)) (/.f64 1 (neg.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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)) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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)) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2)) (/.f64 (fma.f64 x -6 6) (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2)) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2)) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (/.f64 (fma.f64 x -6 6) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x -6 6) (neg.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 1))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
Stop Event
1×saturated
Counts
41 → 40
Calls
Call 1
Inputs
-6
6
6
Outputs
-6
6
6

eval182.0ms (3.7%)

Compiler

Compiled 6023 to 4428 computations (26.5% saved)

prune51.0ms (1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New3355340
Fresh246
Picked101
Done156
Total33914353
Error
0b
Counts
353 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.2b
(/.f64 (*.f64 6 x) x)
✓30.9b
(+.f64 6 (/.f64 -12 x))
16.8b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓31.0b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
33.7b
-6
31.1b
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
▶31.0b
(*.f64 (/.f64 6 x) (+.f64 x -1))
▶0.1b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
▶32.5b
(-.f64 (*.f64 12 x) 6)
▶31.1b
(*.f64 (+.f64 x -1) (/.f64 1 (/.f64 x 6)))
▶60.8b
(*.f64 (+.f64 x -1) (-.f64 (+.f64 1 (/.f64 6 x)) 1))
32.1b
6
Compiler

Compiled 229 to 183 computations (20.1% saved)

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x -6) 6)
0.0b
(+.f64 (*.f64 4 (sqrt.f64 x)) x)
✓0.1b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
Compiler

Compiled 48 to 32 computations (33.3% saved)

series3.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

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

rewrite75.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
650×log-prod_binary64
428×fma-def_binary64
372×pow2_binary64
256×pow1/3_binary64
255×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
129922
2403922
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
(+.f64 (*.f64 x -6) 6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -6 6) 2)) (*.f64 (cbrt.f64 (fma.f64 x -6 6)) (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x -6 6)) (/.f64 1 (neg.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -6 6) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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)) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2)) (/.f64 (fma.f64 x -6 6) (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -6 6) 2)) (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2)) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2)) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (cbrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (/.f64 (fma.f64 x -6 6) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -6 6) 2)) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))) (+.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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 -1 (fma.f64 4 (sqrt.f64 x) x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 1))))))
((#(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 (/.f64 (pow.f64 (*.f64 x -6) 2) (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)) (cbrt.f64 (pow.f64 (fma.f64 x -6 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (fma.f64 -216 (pow.f64 x 3) 216) (/.f64 1 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 36 (*.f64 x x) -36) (/.f64 1 (fma.f64 x -6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) (fma.f64 -216 (pow.f64 x 3) 216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -6 -6) (fma.f64 36 (*.f64 x x) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -216 (pow.f64 x 3) 216) (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -216 (pow.f64 x 3) 216) (+.f64 36 (-.f64 (pow.f64 (*.f64 x -6) 2) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 36 (*.f64 x x) -36) (fma.f64 x -6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -216 (pow.f64 x 3) 216)) (neg.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 36 (*.f64 x x) -36)) (neg.f64 (fma.f64 x -6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (pow.f64 (*.f64 x -6) 2)) (-.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 pow.f64 (/.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) (fma.f64 -216 (pow.f64 x 3) 216)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 -6) (fma.f64 36 (*.f64 x x) -36)) -1)))) (#(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 expm1.f64 (log1p.f64 (fma.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 exp.f64 (*.f64 (log.f64 (fma.f64 x -6 6)) 1))))) (#(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 (*.f64 x -6) 1 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -6) 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 x) 2) (*.f64 (cbrt.f64 x) -6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -6)) (pow.f64 (cbrt.f64 (*.f64 x -6)) 2) 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 fma.f64 (*.f64 -6 (sqrt.f64 x)) (sqrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 6)))))

simplify11.0ms (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
97 → 86
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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 12 x) 6)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (*.f64 12 x) 6)
0.0ms
x
@inf
(-.f64 (*.f64 12 x) 6)
0.0ms
x
@-inf
(-.f64 (*.f64 12 x) 6)

rewrite51.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
648×pow1_binary64
612×add-log-exp_binary64
612×log1p-expm1-u_binary64
612×expm1-log1p-u_binary64
603×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11355
216025
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 (*.f64 12 x) 6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 12 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -6 (*.f64 12 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 12 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 12 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 x -6)) (pow.f64 (cbrt.f64 (fma.f64 12 x -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 x -6)) 2) (cbrt.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 12 x -6)) (sqrt.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 12 x) 3) -216) (/.f64 1 (+.f64 (pow.f64 (*.f64 12 x) 2) (+.f64 36 (*.f64 x 72)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) -36) (/.f64 1 (fma.f64 12 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) (+.f64 36 (*.f64 x 72))) (+.f64 (pow.f64 (*.f64 12 x) 3) -216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 12 x 6) (+.f64 (pow.f64 (*.f64 12 x) 2) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 x) 3) -216) (+.f64 (pow.f64 (*.f64 12 x) 2) (+.f64 36 (*.f64 x 72))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 x) 3) -216) (+.f64 (pow.f64 (*.f64 12 x) 2) (-.f64 36 (*.f64 (*.f64 12 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) -36) (fma.f64 12 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) -36) (-.f64 (*.f64 12 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 12 x) 3) -216)) (neg.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) (+.f64 36 (*.f64 x 72)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 12 x) 2) -36)) (neg.f64 (fma.f64 12 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 x -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 x -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 12 x -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 12 x -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 12 x -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 12 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 12 -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 12 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 12 x)) 2) (cbrt.f64 (*.f64 12 x)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 12 x)) (sqrt.f64 (*.f64 12 x)) -6)))))

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
1×saturated
Counts
35 → 34
Calls
Call 1
Inputs
-6
(*.f64 12 x)
(*.f64 12 x)
Outputs
-6
(*.f64 12 x)
(*.f64 12 x)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 6 x) (+.f64 x -1))
Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
879×pow1_binary64
827×add-log-exp_binary64
827×log1p-expm1-u_binary64
827×expm1-log1p-u_binary64
813×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116110
2223810
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(*.f64 (/.f64 6 x) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 6 x)) (/.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -6 x) (*.f64 x (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 6 x)) 1) (*.f64 (/.f64 -6 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 6 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 -6 (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (*.f64 x 1/6) (fma.f64 x x (-.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (*.f64 x 1/6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -6 (*.f64 x 6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -6 (*.f64 x 6))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 -1 (pow.f64 x 3))) (*.f64 x (fma.f64 x x (-.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (neg.f64 x) (fma.f64 x x (-.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (*.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (fma.f64 x x -1)) (*.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 6) (*.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (*.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x 1) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) -6) (*.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -6) (*.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 6 x)) 3) (pow.f64 (/.f64 -6 x) 3)) (+.f64 (*.f64 (*.f64 x (/.f64 6 x)) (*.f64 x (/.f64 6 x))) (-.f64 (*.f64 (/.f64 -6 x) (/.f64 -6 x)) (*.f64 (*.f64 x (/.f64 6 x)) (/.f64 -6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (/.f64 6 x)) (*.f64 x (/.f64 6 x))) (*.f64 (/.f64 -6 x) (/.f64 -6 x))) (-.f64 (*.f64 x (/.f64 6 x)) (/.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -6 (*.f64 x 6)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -6 (*.f64 x 6)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -6 (*.f64 x 6)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (+.f64 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 6 x)) (fma.f64 x x (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 6 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) -6) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 6 x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 6 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 6 x) (/.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 x) x (/.f64 -6 x))))))

simplify15.0ms (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
58 → 50
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))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (+.f64 x -1) (/.f64 1 (/.f64 x 6)))
✓0.3b
(/.f64 1 (/.f64 x 6))
Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite61.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
956×pow1_binary64
900×add-log-exp_binary64
899×log1p-expm1-u_binary64
899×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
119714
2251214
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 1 (/.f64 x 6))
(*.f64 (+.f64 x -1) (/.f64 1 (/.f64 x 6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 x)) (cbrt.f64 (pow.f64 (*.f64 x 1/6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/6) -2)) (cbrt.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 x)) (sqrt.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x 1/6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) -1) (pow.f64 (sqrt.f64 (*.f64 x 1/6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 6 x)) (*.f64 -1 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 6 x)) (*.f64 x (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 x) x) (*.f64 (/.f64 6 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 x) -1) (*.f64 (/.f64 6 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 1/6) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (/.f64 (*.f64 x 1/6) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (*.f64 x 1/6) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (*.f64 x 1/6) (fma.f64 x x (-.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (*.f64 x 1/6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x -1)) (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1 (pow.f64 x 3))) (*.f64 (*.f64 x -1/6) (fma.f64 x x (-.f64 1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (*.f64 x -1/6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x 1) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -1) (*.f64 (+.f64 x 1) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (*.f64 x 1/6))) (sqrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) 1) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) (cbrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 x -1)) (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) -1) (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 6 x)) (fma.f64 x x (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 6 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 6 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (*.f64 x 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 6 x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 6 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))))

simplify17.0ms (0.4%)

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
010117
119117
230117
348117
466117
591117
6121117
7149117
8167117
9170117
Stop Event
1×saturated
Counts
90 → 71
Calls
Call 1
Inputs
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.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 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.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))

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 x -1) (-.f64 (+.f64 1 (/.f64 6 x)) 1))
✓2.4b
(-.f64 (+.f64 1 (/.f64 6 x)) 1)
Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite78.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
421×log-prod_binary64
399×prod-diff_binary64
396×fma-def_binary64
309×pow-prod-down_binary64
258×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
122714
2319614
Stop Event
1×node limit
Counts
2 → 143
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 6 x)) 1)
(*.f64 (+.f64 x -1) (-.f64 (+.f64 1 (/.f64 6 x)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 6 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 6 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 6 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 6 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 6 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 6 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 x)) (cbrt.f64 (*.f64 36 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 36 (pow.f64 x -2))) (cbrt.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 x)) (sqrt.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) (+.f64 (/.f64 6 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 6 x)))) (/.f64 1 (+.f64 (/.f64 6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 6 x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) (+.f64 (/.f64 6 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 6 x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 6 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -6 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) (+.f64 (/.f64 6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 6 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 6 x)))) (+.f64 (/.f64 6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) (+.f64 (/.f64 6 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 6 x))))) (neg.f64 (+.f64 (/.f64 6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 6 x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 6 x) -1) 2) (+.f64 (/.f64 6 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 6 x) -1) 2)) (-.f64 1 (+.f64 (/.f64 6 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 36 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 216 (pow.f64 x -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) (+.f64 (/.f64 6 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 6 x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 6 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 216 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (/.f64 6 x)) (sqrt.f64 (-.f64 (*.f64 36 (pow.f64 x -2)) (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 6 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 6 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 6 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 6 x)) 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (+.f64 (/.f64 6 x) -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (+.f64 (/.f64 6 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 6 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 6 x)) (*.f64 x (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 6 x)) (*.f64 -1 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 6 x)) (+.f64 x -1)) (*.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 x) -1) (*.f64 (/.f64 6 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 x) x) (*.f64 (/.f64 6 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 6 x))) (*.f64 (+.f64 x -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 6 x)) (+.f64 x -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 6 x)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 6 x)) (+.f64 x -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 6 x)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 6 x) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x)))) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) (+.f64 (/.f64 6 x) 2)) (-.f64 (fma.f64 x x 1) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 6 x)))) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 (/.f64 6 x) 2) (-.f64 (fma.f64 x x 1) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x)))) (fma.f64 x x -1)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) 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2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x)))) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) (+.f64 (/.f64 6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 6 x)))) (+.f64 x -1)) (+.f64 (/.f64 6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 6 x)) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 6 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 x) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 6 x))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 6 x)) 2) (+.f64 (/.f64 6 x) 2)))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 6 x) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) (*.f64 (+.f64 (/.f64 6 x) -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) (*.f64 (+.f64 x -1) (+.f64 (/.f64 6 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 6 x) (*.f64 -1 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 x) x (*.f64 (/.f64 6 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 6 x) -1 (*.f64 (/.f64 6 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 6 x)) (+.f64 x -1) (*.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 6 x) (*.f64 x (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) 1 (*.f64 (+.f64 (/.f64 6 x) -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) 1 (*.f64 (+.f64 x -1) (+.f64 (/.f64 6 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (+.f64 1 (/.f64 6 x)) (*.f64 (+.f64 x -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (+.f64 (/.f64 6 x) -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (+.f64 x -1) (+.f64 (/.f64 6 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 (+.f64 (/.f64 6 x) -1) (+.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 (+.f64 x -1) (+.f64 (/.f64 6 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (*.f64 (+.f64 (/.f64 6 x) -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (*.f64 (+.f64 x -1) (+.f64 (/.f64 6 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (*.f64 (+.f64 (/.f64 6 x) -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (*.f64 (+.f64 x -1) (+.f64 (/.f64 6 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)) (*.f64 (+.f64 (/.f64 6 x) -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)) (*.f64 (+.f64 x -1) (+.f64 (/.f64 6 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 (+.f64 (/.f64 6 x) -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 (+.f64 x -1) (+.f64 (/.f64 6 x) -1)))))))

simplify19.0ms (0.4%)

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
010117
119117
230117
348117
466117
591117
6121117
7149117
8167117
9170117
Stop Event
1×saturated
Counts
167 → 147
Calls
Call 1
Inputs
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.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 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.f64 6 x)
(/.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))

eval225.0ms (4.6%)

Compiler

Compiled 7031 to 5330 computations (24.2% saved)

prune64.0ms (1.3%)

Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New4582460
Fresh134
Picked011
Done099
Total45915474
Error
0b
Counts
474 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.2b
(/.f64 (*.f64 6 x) x)
✓30.9b
(+.f64 6 (/.f64 -12 x))
16.8b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓31.0b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
33.7b
-6
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
✓31.0b
(*.f64 (/.f64 6 x) (+.f64 x -1))
60.7b
(+.f64 (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 6 x))) (*.f64 (+.f64 x -1) -1))
31.1b
(/.f64 1 (/.f64 x (+.f64 -6 (*.f64 x 6))))
✓0.1b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
✓32.5b
(-.f64 (*.f64 12 x) 6)
✓31.1b
(*.f64 (+.f64 x -1) (/.f64 1 (/.f64 x 6)))
✓60.8b
(*.f64 (+.f64 x -1) (-.f64 (+.f64 1 (/.f64 6 x)) 1))
32.1b
6
Compiler

Compiled 160 to 128 computations (20% saved)

regimes30.0ms (0.6%)

Counts
26 → 1
Calls
Call 1
Inputs
-6
6
6
-6
6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 (/.f64 6 x) (+.f64 x -1))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 x (+.f64 -6 (*.f64 x 6))))
(*.f64 (+.f64 x -1) (/.f64 1 (/.f64 x 6)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
(*.f64 (+.f64 x -1) (-.f64 (+.f64 1 (/.f64 6 x)) 1))
(+.f64 (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 6 x))) (*.f64 (+.f64 x -1) -1))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Outputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
Calls

3 calls:

12.0ms
x
6.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
5.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0b1(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 259 to 195 computations (24.7% saved)

regimes16.0ms (0.3%)

Counts
20 → 1
Calls
Call 1
Inputs
-6
6
6
-6
6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 (/.f64 6 x) (+.f64 x -1))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 x (+.f64 -6 (*.f64 x 6))))
(*.f64 (+.f64 x -1) (/.f64 1 (/.f64 x 6)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
(*.f64 (+.f64 x -1) (-.f64 (+.f64 1 (/.f64 6 x)) 1))
(+.f64 (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 6 x))) (*.f64 (+.f64 x -1) -1))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
Outputs
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 140 to 108 computations (22.9% saved)

regimes15.0ms (0.3%)

Counts
19 → 1
Calls
Call 1
Inputs
-6
6
6
-6
6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 (/.f64 6 x) (+.f64 x -1))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 x (+.f64 -6 (*.f64 x 6))))
(*.f64 (+.f64 x -1) (/.f64 1 (/.f64 x 6)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
(*.f64 (+.f64 x -1) (-.f64 (+.f64 1 (/.f64 6 x)) 1))
(+.f64 (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 6 x))) (*.f64 (+.f64 x -1) -1))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
2.8b1x
Compiler

Compiled 126 to 98 computations (22.2% saved)

regimes20.0ms (0.4%)

Counts
16 → 2
Calls
Call 1
Inputs
-6
6
6
-6
6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -12 x))
(-.f64 (*.f64 12 x) 6)
(*.f64 (/.f64 6 x) (+.f64 x -1))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 x (+.f64 -6 (*.f64 x 6))))
(*.f64 (+.f64 x -1) (/.f64 1 (/.f64 x 6)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 x)))
(*.f64 (+.f64 x -1) (-.f64 (+.f64 1 (/.f64 6 x)) 1))
(+.f64 (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 6 x))) (*.f64 (+.f64 x -1) -1))
Outputs
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
2.7b2x
Compiler

Compiled 97 to 76 computations (21.6% saved)

bsearch22.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
6.352330830085446e-10
149235.42791003702
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes16.0ms (0.3%)

Counts
7 → 2
Calls
Call 1
Inputs
-6
6
6
-6
6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -12 x))
Outputs
-6
(+.f64 6 (/.f64 -12 x))
Calls

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
2.7b2x
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch24.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
6.352330830085446e-10
149235.42791003702
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes10.0ms (0.2%)

Accuracy

Total -60.3b remaining (-2210.4%)

Threshold costs -60.3b (-2210.4%)

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

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
2.7b2x
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch23.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
6.352330830085446e-10
149235.42791003702
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×+-commutative_binary64
8×*-commutative_binary64
7×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03396
15096
26096
37596
48196
58496
68596
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(if (<=.f64 x 1535899351044865/2417851639229258349412352) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1535899351044865/2417851639229258349412352) -6 (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1535899351044865/2417851639229258349412352) -6 6)
-6
Outputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 (+.f64 (*.f64 4 (sqrt.f64 x)) x)))
(/.f64 (+.f64 6 (*.f64 x -6)) (-.f64 -1 (+.f64 x (*.f64 4 (sqrt.f64 x)))))
(/.f64 (+.f64 6 (*.f64 x -6)) (+.f64 -1 (-.f64 (*.f64 (sqrt.f64 x) -4) x)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(if (<=.f64 x 1535899351044865/2417851639229258349412352) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1535899351044865/2417851639229258349412352) (+.f64 (*.f64 x 12) -6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1535899351044865/2417851639229258349412352) (+.f64 -6 (*.f64 x 12)) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1535899351044865/2417851639229258349412352) -6 (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1535899351044865/2417851639229258349412352) -6 6)
-6
Compiler

Compiled 74 to 60 computations (18.9% saved)

soundness0.0ms (0%)

end56.0ms (1.2%)

Compiler

Compiled 68 to 53 computations (22.1% saved)

Profiling

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