Details

Time bar (total: 5.6s)

analyze4.0ms (0.1%)

Algorithm
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)

sample963.0ms (17.3%)

Results
947.0ms8256×body256valid
1.0msbody256invalid

preprocess95.0ms (1.7%)

Algorithm
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
saturated
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)

simplify86.0ms (1.5%)

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

Compiled 28 to 22 computations (21.4% saved)

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series9.0ms (0.2%)

Counts
3 → 18
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@-inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0ms
x
@inf
(*.f64 6 (-.f64 x 1))

rewrite86.0ms (1.5%)

Algorithm
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
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 6 (-.f64 x 1))
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
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 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)))))
((#(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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#<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))))))

simplify12.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0760
11360
21560
Stop Event
saturated
Counts
180 → 168
Calls
Call 1
Inputs
-6
6
6
-6
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
1
x
x
Outputs
-6
6
6
-6
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
1
x
x

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))
0.0b
(fma.f64 4 (sqrt.f64 x) x)
0.0b
(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)

series7.0ms (0.1%)

Counts
4 → 20
Calls

12 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
@-inf
(-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))
1.0ms
x
@0
(fma.f64 4 (sqrt.f64 x) x)

rewrite92.0ms (1.6%)

Algorithm
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
01139
123739
2286339
Stop Event
node limit
Counts
4 → 178
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)
(-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))
Outputs
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((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2))) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x))) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) -1)))))

simplify16.0ms (0.3%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0884
11266
21666
31766
41966
52366
62766
73566
84066
94266
Stop Event
saturated
Counts
198 → 187
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
-1
(*.f64 -1 x)
(*.f64 -1 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
-1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

eval154.0ms (2.8%)

Compiler

Compiled 6650 to 4829 computations (27.4% saved)

prune56.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New34114355
Fresh000
Picked101
Done011
Total34215357
Error
0b
Counts
357 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
4.0b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
14.9b
(/.f64 (*.f64 6 (-.f64 x 1)) (fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 4 (sqrt.f64 x))))
0.1b
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))
31.5b
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
32.6b
6
0.2b
(pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1)
14.9b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
33.0b
(/.f64 (fma.f64 x -6 6) -1)
0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
0.1b
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
34.4b
-6
31.5b
(/.f64 (*.f64 6 (-.f64 x 1)) x)
33.0b
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
31.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 335 to 266 computations (20.6% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 47 to 30 computations (36.2% saved)

series5.0ms (0.1%)

Counts
3 → 9
Calls

9 calls:

TimeVariablePointExpression
1.0ms
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
@-inf
(*.f64 6 (/.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)))

rewrite79.0ms (1.4%)

Algorithm
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
01245
126045
2329443
Stop Event
node limit
Counts
3 → 116
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)))
(+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)
Outputs
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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 (fma.f64 4 (sqrt.f64 x) x) 2) (+.f64 (fma.f64 4 (sqrt.f64 x) 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 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)) (pow.f64 (cbrt.f64 (+.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 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 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (/.f64 1 (+.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 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 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 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) -1) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) -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 (exp.f64 (*.f64 4 (sqrt.f64 x))) (exp.f64 (+.f64 x 1))))))) (#(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 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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) (+.f64 4 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) 2) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 x))) (sqrt.f64 (*.f64 4 (sqrt.f64 x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (pow.f64 x 1/6) (+.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))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
189
Stop Event
saturated
Counts
125 → 121
Calls
Call 1
Inputs
-1
1
1
-6
6
6
1
x
x
Outputs
-1
1
1
-6
6
6
1
x
x

localize8.0ms (0.1%)

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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x -6 6)
Compiler

Compiled 15 to 12 computations (20% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 15 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (1%)

Algorithm
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
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))))))))

simplify63.0ms (1.1%)

Algorithm
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
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)))

localize40.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiled 45 to 29 computations (35.6% saved)

series7.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

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

rewrite87.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
544×log-prod_binary64
426×prod-diff_binary64
319×pow2_binary64
253×fma-def_binary64
222×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01232
126732
2347130
Stop Event
node limit
Counts
2 → 112
Calls
Call 1
Inputs
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
(/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 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 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 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 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2) (cbrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (sqrt.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.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)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.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 6 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 36 (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 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 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 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) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
Stop Event
saturated
Counts
118 → 115
Calls
Call 1
Inputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)
Outputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)

eval204.0ms (3.7%)

Compiler

Compiled 8880 to 6592 computations (25.8% saved)

prune78.0ms (1.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New50011511
Fresh459
Picked101
Done415
Total50917526
Error
0b
Counts
526 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
31.4b
(*.f64 6 (/.f64 (+.f64 x -1) x))
34.4b
-6
33.0b
(-.f64 (*.f64 12 x) 6)
0.2b
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)))
0.2b
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))
31.5b
(/.f64 (*.f64 6 (-.f64 x 1)) x)
0.1b
(*.f64 6 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)))
31.5b
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
0.1b
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
31.5b
(+.f64 6 (/.f64 -12 x))
14.9b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.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))))
32.6b
6
4.0b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
31.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
4.1b
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
Compiler

Compiled 357 to 284 computations (20.4% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 55 to 36 computations (34.5% saved)

series10.0ms (0.2%)

Counts
4 → 11
Calls

12 calls:

TimeVariablePointExpression
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
@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)))

rewrite92.0ms (1.7%)

Algorithm
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
01352
129152
2394750
Stop Event
node limit
Counts
4 → 218
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(+.f64 (*.f64 4 (sqrt.f64 x)) x)
(+.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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(+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) (-.f64 1 (fma.f64 4 (sqrt.f64 x) x))) (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1)) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 16)))) (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (exp.f64 (sqrt.f64 (*.f64 x 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x 16))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 4 (sqrt.f64 x) 1))))) (#(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 4 (sqrt.f64 x) (*.f64 (+.f64 x 1) 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) 4 (*.f64 (+.f64 x 1) 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) (+.f64 (sqrt.f64 x) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (+.f64 4 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 16)) 1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 16)) 1 (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) 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 (sqrt.f64 (*.f64 x 16)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 x 16)) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (sqrt.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 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) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) (*.f64 (+.f64 x 1) 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 (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 x 16)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 x 16)) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) (*.f64 (+.f64 x 1) 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 (*.f64 2 (pow.f64 x 1/4)) (*.f64 2 (pow.f64 x 1/4)) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (sqrt.f64 (*.f64 x 16))) (*.f64 x 16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x 16) (*.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (*.f64 x 16)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (*.f64 (+.f64 x 1) 1))))))

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1811
Stop Event
saturated
Counts
229 → 223
Calls
Call 1
Inputs
-1
1
1
-6
6
6
x
x
1
x
x
Outputs
-1
1
1
-6
6
6
x
x
1
x
x

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 6 (/.f64 -12 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
708×pow1_binary64
673×add-log-exp_binary64
673×log1p-expm1-u_binary64
673×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11397
217597
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 6 (/.f64 -12 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 6 (/.f64 -12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (-.f64 6 (/.f64 -12 x))) (/.f64 (/.f64 144 (*.f64 x x)) (-.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6 (/.f64 -12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 2) (cbrt.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 6 (/.f64 -12 x))) (sqrt.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (/.f64 144 (*.f64 x x)) (/.f64 -72 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (/.f64 144 (*.f64 x x)) (/.f64 -72 x))) (+.f64 216 (/.f64 -1728 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3))) (+.f64 36 (-.f64 (/.f64 144 (*.f64 x x)) (/.f64 -72 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3))) (+.f64 (/.f64 144 (*.f64 x x)) (-.f64 36 (/.f64 -72 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (-.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (/.f64 144 (*.f64 x x)) (/.f64 -72 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (/.f64 144 (*.f64 x x)))) (neg.f64 (-.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 144 (*.f64 x x)) 36) (-.f64 (/.f64 -12 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -12 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -12 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 (/.f64 1 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -12 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 144 (*.f64 x x))) (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)))))

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
16×fma-def_binary64
11×sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01069
12069
23169
34769
46269
58069
69869
711369
812069
Stop Event
saturated
Counts
43 → 35
Calls
Call 1
Inputs
(/.f64 -12 x)
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
Outputs
(/.f64 -12 x)
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.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 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.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 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))

localize9.0ms (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)
1.0ms
x
@inf
(/.f64 (*.f64 6 (-.f64 x 1)) x)

rewrite56.0ms (1%)

Algorithm
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
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))))))))

simplify15.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11969
23069
34869
46669
59169
612169
714969
816769
917069
Stop Event
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
0.0b
(fma.f64 x -6 6)
0.1b
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
634×pow1_binary64
593×add-log-exp_binary64
592×log1p-expm1-u_binary64
592×expm1-log1p-u_binary64
583×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11508
219258
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 x -6 6) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -6 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (*.f64 (cbrt.f64 (fma.f64 x -6 6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -6 6)) (*.f64 (sqrt.f64 (fma.f64 x -6 6)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) x)) (sqrt.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x -6 6)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (fma.f64 x -6 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) 1) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x -6 6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x -6 6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) -1) (/.f64 (cbrt.f64 (fma.f64 x -6 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) -1) (/.f64 (sqrt.f64 (fma.f64 x -6 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x -6 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x -6 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) x)))))))

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11969
23069
34869
46669
59169
612169
714969
816769
917069
Stop Event
saturated
Counts
46 → 38
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))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 45 to 29 computations (35.6% saved)

series3.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

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

rewrite73.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
554×log-prod_binary64
327×pow-prod-down_binary64
315×pow2_binary64
255×prod-diff_binary64
220×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01232
126032
2334728
Stop Event
node limit
Counts
2 → 73
Calls
Call 1
Inputs
(*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6)
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 1/6 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (fma.f64 4 (sqrt.f64 x) x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 3)) 1/6) (+.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 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) 1/6) (fma.f64 4 (sqrt.f64 x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (+.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 1/6 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (fma.f64 4 (sqrt.f64 x) x) 1/6)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (*.f64 (cbrt.f64 (-.f64 x 1)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2) (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x 1)) (*.f64 (sqrt.f64 (-.f64 x 1)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) (sqrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/6)))))) (#(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> (2) ((x *.f64 (/.f64 (-.f64 x 1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x 1)) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) 1) (/.f64 (sqrt.f64 (-.f64 x 1)) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (-.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (cbrt.f64 (-.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (sqrt.f64 (-.f64 x 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) 1/6) (/.f64 (sqrt.f64 (-.f64 x 1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) 1/6) (/.f64 (cbrt.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 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) -2) (/.f64 (-.f64 x 1) (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2)) (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x 1)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2)) (/.f64 (sqrt.f64 (-.f64 x 1)) (cbrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) -1/2) (/.f64 (-.f64 x 1) (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) (/.f64 (cbrt.f64 (-.f64 x 1)) (sqrt.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) (-.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) (-.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x 1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x 1) (fma.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6 1/6))) 1))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
1712
Stop Event
saturated
Counts
79 → 77
Calls
Call 1
Inputs
1/6
(*.f64 1/6 x)
(*.f64 1/6 x)
-6
6
6
Outputs
1/6
(*.f64 1/6 x)
(*.f64 1/6 x)
-6
6
6

eval203.0ms (3.7%)

Compiler

Compiled 9392 to 6892 computations (26.6% saved)

prune88.0ms (1.6%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New55812570
Fresh6511
Picked101
Done235
Total56720587
Error
0b
Counts
587 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
32.6b
(/.f64 (*.f64 6 x) x)
31.5b
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
0.2b
(*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (-.f64 x 1) 1/6))
34.4b
-6
33.0b
(-.f64 (*.f64 12 x) 6)
31.6b
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)
31.5b
(/.f64 (fma.f64 x 6 -6) x)
32.6b
6
31.5b
(+.f64 6 (/.f64 -12 x))
0.2b
(/.f64 (+.f64 x -1) (+.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6) 1/6))
31.4b
(+.f64 6 (/.f64 -6 x))
32.0b
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x)))))
0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
32.0b
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
0.2b
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
4.0b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
31.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
4.1b
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
0.1b
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
Compiler

Compiled 380 to 303 computations (20.3% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 53 to 35 computations (34% saved)

series3.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

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

rewrite81.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
638×log-prod_binary64
545×fma-def_binary64
324×fma-neg_binary64
251×pow1/3_binary64
246×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01332
129832
2412530
Stop Event
node limit
Counts
2 → 110
Calls
Call 1
Inputs
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
(/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 6 (+.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 (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -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))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.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 6 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1)) (fma.f64 4 (sqrt.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (+.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 (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)) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (+.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 (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (+.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 (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 6) (log1p.f64 (fma.f64 4 (sqrt.f64 x) x))) 1))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
Stop Event
saturated
Counts
116 → 113
Calls
Call 1
Inputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)
Outputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11377
217107
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 6 (/.f64 -6 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 6 (/.f64 -6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (-.f64 6 (/.f64 -6 x))) (/.f64 (/.f64 36 (*.f64 x x)) (-.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6 (/.f64 -6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 6 (/.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) 2) (cbrt.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 6 (/.f64 -6 x))) (sqrt.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3))) (/.f64 1 (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (/.f64 36 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x))) (+.f64 216 (/.f64 -216 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6 (/.f64 -6 x)) (-.f64 36 (/.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3))) (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3))) (+.f64 (/.f64 36 (*.f64 x x)) (-.f64 36 (/.f64 -36 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (/.f64 36 (*.f64 x x))) (-.f64 6 (/.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 216 (/.f64 -216 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (-.f64 (/.f64 36 (*.f64 x x)) (/.f64 -36 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (/.f64 36 (*.f64 x x)))) (neg.f64 (-.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 36 (*.f64 x x)) 36) (-.f64 (/.f64 -6 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -6 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -6 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -6 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -6 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (/.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 (/.f64 1 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -6 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6 x)) 2) (cbrt.f64 (/.f64 -6 x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -6 x)) (sqrt.f64 (/.f64 -6 x)) 6)))))

simplify15.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 x -1) (/.f64 1 x))
0.2b
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
913×pow1_binary64
854×add-log-exp_binary64
853×log1p-expm1-u_binary64
853×expm1-log1p-u_binary64
840×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118917
2235417
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
(*.f64 (+.f64 x -1) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 -6 (*.f64 6 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -6 (*.f64 6 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -6 (*.f64 6 x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -6 (*.f64 6 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -6 (*.f64 6 x)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 x)) (*.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) x) (*.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) -1) (*.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 x -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (/.f64 x (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 x (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 (fma.f64 x x -1) (*.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x -1)) (neg.f64 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))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -1) (*.f64 (+.f64 x 1) (neg.f64 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))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.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 -1 (fma.f64 x x -1)) (*.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 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 1 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 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 1 x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -1) x)))))))

simplify17.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
012138
124138
237138
358138
476138
5104138
6136138
7163138
8169138
Stop Event
saturated
Counts
78 → 61
Calls
Call 1
Inputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
Outputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.5b
(/.f64 1 (-.f64 6 (/.f64 -12 x)))
0.8b
(/.f64 144 (*.f64 x x))
12.5b
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
Compiler

Compiled 52 to 36 computations (30.8% saved)

series26.0ms (0.5%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
1.0ms
x
@0
(/.f64 144 (*.f64 x x))
0.0ms
x
@0
(/.f64 1 (-.f64 6 (/.f64 -12 x)))
0.0ms
x
@inf
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
0.0ms
x
@-inf
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))

rewrite166.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
570×log-prod_binary64
333×pow2_binary64
293×prod-diff_binary64
229×pow1/3_binary64
229×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01436
132124
2426624
Stop Event
node limit
Counts
3 → 156
Calls
Call 1
Inputs
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
(/.f64 144 (*.f64 x x))
(/.f64 1 (-.f64 6 (/.f64 -12 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (/.f64 -12 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -12 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 36 (/.f64 1 (+.f64 6 (/.f64 -12 x)))) (*.f64 (*.f64 144 (pow.f64 x -2)) (/.f64 1 (+.f64 6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) 36) (*.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) (*.f64 144 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 6 (/.f64 -12 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 6 (/.f64 -12 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 6 (/.f64 -12 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 6 (/.f64 (/.f64 -12 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 6 (/.f64 -12 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (+.f64 6 (/.f64 -12 x))) (/.f64 (*.f64 144 (pow.f64 x -2)) (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 216 (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x)))) (/.f64 (/.f64 -1728 (pow.f64 x 3)) (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 144 (pow.f64 x -2) 36) (+.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 6 (/.f64 -12 x)) (fma.f64 144 (pow.f64 x -2) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x))) (-.f64 216 (/.f64 -1728 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 6 (/.f64 -12 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 -6 (/.f64 -12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 144 (pow.f64 x -2) 36) 2)) (/.f64 (+.f64 6 (/.f64 -12 x)) (cbrt.f64 (fma.f64 144 (pow.f64 x -2) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 6 (/.f64 -12 x))) (pow.f64 (+.f64 6 (/.f64 -12 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 144 (pow.f64 x -2) 36)) (/.f64 (+.f64 6 (/.f64 -12 x)) (sqrt.f64 (fma.f64 144 (pow.f64 x -2) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -6 (/.f64 -12 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3))) (*.f64 (+.f64 6 (/.f64 -12 x)) (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 216 (/.f64 -1728 (pow.f64 x 3))) (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1296 (/.f64 20736 (pow.f64 x 4))) (*.f64 (+.f64 6 (/.f64 -12 x)) (fma.f64 144 (pow.f64 x -2) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 144 (pow.f64 x -2) 36)) (+.f64 -6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 216 (/.f64 -1728 (pow.f64 x 3)))) (neg.f64 (+.f64 36 (fma.f64 144 (pow.f64 x -2) (/.f64 -72 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3))) 1) (*.f64 (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4)))) (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1296 (/.f64 20736 (pow.f64 x 4))) 1) (*.f64 (fma.f64 144 (pow.f64 x -2) 36) (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3))) -1) (*.f64 (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4)))) (+.f64 -6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1296 (/.f64 20736 (pow.f64 x 4))) -1) (*.f64 (fma.f64 144 (pow.f64 x -2) 36) (+.f64 -6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (+.f64 -6 (/.f64 -12 x)) (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1296 (/.f64 20736 (pow.f64 x 4)))) (*.f64 (+.f64 -6 (/.f64 -12 x)) (fma.f64 144 (pow.f64 x -2) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 144 (pow.f64 x -2) 36) (sqrt.f64 (+.f64 6 (/.f64 -12 x)))) (sqrt.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 144 (pow.f64 x -2) 36) 1) (+.f64 6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 144 (pow.f64 x -2) 36) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -12 x))) 2)) (cbrt.f64 (+.f64 6 (/.f64 -12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -1728 (pow.f64 x 3))) (+.f64 36 (-.f64 (*.f64 144 (pow.f64 x -2)) (/.f64 -72 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 6 (/.f64 -12 x)))) (+.f64 1296 (fma.f64 5184 (pow.f64 x -2) (/.f64 20736 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1296 (/.f64 20736 (pow.f64 x 4))) (/.f64 1 (+.f64 6 (/.f64 -12 x)))) (fma.f64 144 (pow.f64 x -2) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 144 (pow.f64 x -2) 36)) (+.f64 -6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 144 (pow.f64 x -2) 36) -1) (+.f64 -6 (/.f64 -12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 6 (/.f64 -12 x))) (-.f64 46656 (*.f64 2985984 (pow.f64 (pow.f64 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simplify59.0ms (1.1%)

Algorithm
egg-herbie
Rules
805×unswap-sqr_binary64
588×associate-/r*_binary64
397×fma-def_binary64
340×times-frac_binary64
278×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045309
1115309
2270306
3733298
42335298
56328298
Stop Event
node limit
Counts
192 → 176
Calls
Call 1
Inputs
(/.f64 -12 x)
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (pow.f64 x 2))
(*.f64 1/12 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/12 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/12 x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/12 x))))
1/6
(-.f64 1/6 (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 4/3 (/.f64 1 (pow.f64 x 3)))))
1/6
(-.f64 1/6 (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 4/3 (/.f64 1 (pow.f64 x 3)))))
Outputs
(/.f64 -12 x)
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.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 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.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 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(/.f64 144 (pow.f64 x 2))
(/.f64 144 (*.f64 x x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/12 x))
(fma.f64 -1/24 (*.f64 x x) (*.f64 x 1/12))
(fma.f64 x 1/12 (*.f64 x (*.f64 x -1/24)))
(*.f64 x (+.f64 1/12 (*.f64 x -1/24)))
(*.f64 x (fma.f64 x -1/24 1/12))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/12 x)))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/48 (pow.f64 x 3) (*.f64 x 1/12)))
(fma.f64 (*.f64 x x) -1/24 (fma.f64 x 1/12 (*.f64 1/48 (pow.f64 x 3))))
(fma.f64 x 1/12 (*.f64 (*.f64 x x) (+.f64 -1/24 (*.f64 x 1/48))))
(*.f64 x (+.f64 1/12 (*.f64 x (fma.f64 x 1/48 -1/24))))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/12 x))))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/96 (pow.f64 x 4) (fma.f64 1/48 (pow.f64 x 3) (*.f64 x 1/12))))
(fma.f64 (*.f64 x x) -1/24 (fma.f64 -1/96 (pow.f64 x 4) (fma.f64 x 1/12 (*.f64 1/48 (pow.f64 x 3)))))
(fma.f64 -1/96 (pow.f64 x 4) (fma.f64 x 1/12 (*.f64 (*.f64 x x) (+.f64 -1/24 (*.f64 x 1/48)))))
(fma.f64 x (fma.f64 x -1/24 1/12) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x -1/96) 1/48)))
(fma.f64 x (fma.f64 x -1/24 1/12) (*.f64 (pow.f64 x 3) (+.f64 1/48 (*.f64 x -1/96))))
1/6
(-.f64 1/6 (*.f64 1/3 (/.f64 1 x)))
(-.f64 1/6 (/.f64 1/3 x))
(+.f64 1/6 (/.f64 -1/3 x))
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 1/6 (/.f64 2/3 (*.f64 x x))) (/.f64 1/3 x))
(+.f64 (/.f64 2/3 (*.f64 x x)) (-.f64 1/6 (/.f64 1/3 x)))
(+.f64 (+.f64 1/6 (/.f64 -1/3 x)) (/.f64 2/3 (*.f64 x x)))
(+.f64 1/6 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)))
(+.f64 (-.f64 1/6 (/.f64 1/3 x)) (/.f64 2/3 (*.f64 x x)))
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 4/3 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1/6 (-.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/3 (pow.f64 x 3)))))
(+.f64 (/.f64 2/3 (*.f64 x x)) (-.f64 1/6 (+.f64 (/.f64 1/3 x) (/.f64 4/3 (pow.f64 x 3)))))
(+.f64 1/6 (-.f64 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/3 (pow.f64 x 3))))
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 -4/3 (pow.f64 x 3))))
(+.f64 1/6 (-.f64 (/.f64 -4/3 (pow.f64 x 3)) (-.f64 (/.f64 1/3 x) (/.f64 2/3 (*.f64 x x)))))
(+.f64 1/6 (+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 -1/3 x) (/.f64 -4/3 (pow.f64 x 3)))))
1/6
(-.f64 1/6 (*.f64 1/3 (/.f64 1 x)))
(-.f64 1/6 (/.f64 1/3 x))
(+.f64 1/6 (/.f64 -1/3 x))
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 1/6 (/.f64 2/3 (*.f64 x x))) (/.f64 1/3 x))
(+.f64 (/.f64 2/3 (*.f64 x x)) (-.f64 1/6 (/.f64 1/3 x)))
(+.f64 (+.f64 1/6 (/.f64 -1/3 x)) (/.f64 2/3 (*.f64 x x)))
(+.f64 1/6 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)))
(+.f64 (-.f64 1/6 (/.f64 1/3 x)) (/.f64 2/3 (*.f64 x x)))
(-.f64 (+.f64 1/6 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 4/3 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1/6 (-.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 1/3 x) (/.f64 4/3 (pow.f64 x 3)))))
(+.f64 (/.f64 2/3 (*.f64 x x)) (-.f64 1/6 (+.f64 (/.f64 1/3 x) (/.f64 4/3 (pow.f64 x 3)))))
(+.f64 1/6 (-.f64 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 4/3 (pow.f64 x 3))))
(+.f64 1/6 (+.f64 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 -1/3 x)) (/.f64 -4/3 (pow.f64 x 3))))
(+.f64 1/6 (-.f64 (/.f64 -4/3 (pow.f64 x 3)) (-.f64 (/.f64 1/3 x) (/.f64 2/3 (*.f64 x x)))))
(+.f64 1/6 (+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 -1/3 x) (/.f64 -4/3 (pow.f64 x 3)))))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 x 6) -6)
0.1b
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)
0.2b
(/.f64 x (+.f64 (*.f64 x 6) -6))
Compiler

Compiled 29 to 22 computations (24.1% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite170.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
423×log-prod_binary64
332×exp-prod_binary64
256×cbrt-unprod_binary64
253×prod-exp_binary64
242×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
120021
2250121
Stop Event
node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x 6) -6))
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)
(+.f64 (*.f64 x 6) -6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x 6 -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 6 -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x 6 -6))) (sqrt.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 6 -6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) -2) (/.f64 x (cbrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 6 -6) -1/2) (/.f64 x (sqrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 6 -6))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 (pow.f64 x 3) 216 -216)) (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 36 (*.f64 x x) -36)) (fma.f64 x 6 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x 6 -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 6 -6) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 6 -6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 6 -6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 6 -6) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 6 -6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (neg.f64 (fma.f64 x 6 -6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x 6 -6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x 6 -6)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 6 -6) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (fma.f64 x 6 -6)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x 6 -6)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 6 -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 x 6 -6) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 -6) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 6 -6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 6 -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)) (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 6 -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) 1) (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 x 6 -6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 6 -6) 2) (*.f64 x x))) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 x 6 -6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (fma.f64 x 6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))) -2) (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 6 -6) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (fma.f64 x 6 -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (/.f64 x (cbrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x 6 -6)) (/.f64 x (sqrt.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 6 -6)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 216 -216) (*.f64 x (-.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 x (fma.f64 x 6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x)) (sqrt.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1) (/.f64 1 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))) -2) (cbrt.f64 (/.f64 x (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 6 -6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 6 -6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 x 6 -6)) 3) (pow.f64 (neg.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) -3/2) (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 6 -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 x 6 -6) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (fma.f64 x 6 -6)) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x 6 -6) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x 6 -6) x))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 6 -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 36 (*.f64 x x)) (fma.f64 x 6 6)) (/.f64 36 (fma.f64 x 6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 6 -6)) (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 2) (cbrt.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 6 -6)) (sqrt.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 216 -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 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 (pow.f64 x 3) 216 -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 (pow.f64 x 3) 216 -216) (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 216 -216) (+.f64 36 (-.f64 (*.f64 36 (*.f64 x x)) (*.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 (pow.f64 x 3) 216 -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 (*.f64 36 (*.f64 x x))) (-.f64 -6 (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 6 -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 -6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 -6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 6 -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 6 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 6 -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) (fma.f64 (pow.f64 x 3) 216 -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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 6 -6))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 6 -6)))) (sqrt.f64 (log.f64 (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 6 -6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 6 -6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 216 -216) 3) (pow.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 36 (*.f64 x x) -36) 3) (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 (*.f64 3 (log.f64 (fma.f64 x 6 -6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 6 -6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 6 -6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.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 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)) (cbrt.f64 (*.f64 36 (*.f64 x x))) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 36 (*.f64 x x))) (cbrt.f64 (*.f64 x 6)) -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 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (sqrt.f64 x)) (sqrt.f64 x) -6)))))

simplify86.0ms (1.5%)

Algorithm
egg-herbie
Rules
805×unswap-sqr_binary64
742×distribute-rgt-out_binary64
591×fma-def_binary64
350×distribute-lft-out_binary64
282×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039276
1109270
2261267
3713260
42259247
55361247
67476247
77849247
Stop Event
node limit
Counts
188 → 174
Calls
Call 1
Inputs
(*.f64 -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/6 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/6 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 -1/6 x))))
1/6
(+.f64 1/6 (*.f64 1/6 (/.f64 1 x)))
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))))
1/6
(+.f64 1/6 (*.f64 1/6 (/.f64 1 x)))
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))))
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
-6
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
Outputs
(*.f64 -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/6 x))
(*.f64 -1/6 (+.f64 (*.f64 x x) x))
(*.f64 -1/6 (fma.f64 x x x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/6 x)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 -1/6 (+.f64 (*.f64 x x) x)))
(*.f64 -1/6 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))
(*.f64 -1/6 (+.f64 x (*.f64 x (fma.f64 x x x))))
(*.f64 -1/6 (fma.f64 x (fma.f64 x x x) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 -1/6 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/6 (+.f64 (pow.f64 x 4) x))))
(+.f64 (*.f64 -1/6 (+.f64 (fma.f64 x x x) (pow.f64 x 3))) (*.f64 -1/6 (pow.f64 x 4)))
(*.f64 -1/6 (+.f64 (+.f64 x (*.f64 x (fma.f64 x x x))) (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (*.f64 -1/6 (fma.f64 x x x)))
(*.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 -1/6 x -1/6))
1/6
(+.f64 1/6 (*.f64 1/6 (/.f64 1 x)))
(+.f64 1/6 (/.f64 1/6 x))
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/6 x) (+.f64 1/6 (/.f64 1/6 (*.f64 x x))))
(+.f64 1/6 (+.f64 (/.f64 1/6 x) (/.f64 1/6 (*.f64 x x))))
(+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 1/6 (/.f64 1/6 x)))
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 1/6 x) (+.f64 1/6 (+.f64 (/.f64 1/6 (*.f64 x x)) (/.f64 1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 1/6 (/.f64 1/6 x)) (/.f64 1/6 (pow.f64 x 3))) (/.f64 1/6 (*.f64 x x)))
(+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 1/6 (/.f64 1/6 x))))
(+.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 1/6 (/.f64 1/6 x))) (/.f64 1/6 (pow.f64 x 3)))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 1/6 (/.f64 1/6 x)))
1/6
(+.f64 1/6 (*.f64 1/6 (/.f64 1 x)))
(+.f64 1/6 (/.f64 1/6 x))
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (*.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/6 x) (+.f64 1/6 (/.f64 1/6 (*.f64 x x))))
(+.f64 1/6 (+.f64 (/.f64 1/6 x) (/.f64 1/6 (*.f64 x x))))
(+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 1/6 (/.f64 1/6 x)))
(+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 1/6 x) (+.f64 1/6 (+.f64 (/.f64 1/6 (*.f64 x x)) (/.f64 1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 1/6 (/.f64 1/6 x)) (/.f64 1/6 (pow.f64 x 3))) (/.f64 1/6 (*.f64 x x)))
(+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 1/6 (/.f64 1/6 x))))
(+.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) (+.f64 1/6 (/.f64 1/6 x))) (/.f64 1/6 (pow.f64 x 3)))
(*.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 1/6 (/.f64 1/6 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))
-6
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(*.f64 6 x)
(*.f64 x 6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(*.f64 6 x)
(*.f64 x 6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(fma.f64 x 6 -6)

eval769.0ms (13.8%)

Compiler

Compiled 11870 to 9026 computations (24% saved)

prune229.0ms (4.1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New7057712
Fresh4812
Picked101
Done167
Total71121732
Error
0b
Counts
732 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
31.5b
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))
31.5b
(/.f64 (fma.f64 x 6 -6) x)
34.4b
-6
33.0b
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x)))
0.2b
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
32.6b
(/.f64 (*.f64 6 x) x)
31.5b
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
0.2b
(*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (-.f64 x 1) 1/6))
4.1b
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
32.7b
(pow.f64 (/.f64 x (*.f64 x 6)) -1)
0.1b
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
32.6b
6
31.5b
(+.f64 6 (/.f64 -12 x))
0.2b
(/.f64 (+.f64 x -1) (+.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6) 1/6))
31.4b
(+.f64 6 (/.f64 -6 x))
31.6b
(/.f64 1 (/.f64 x (fma.f64 x 6 -6)))
0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
33.0b
(-.f64 (*.f64 12 x) 6)
4.0b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
31.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
Compiler

Compiled 209 to 167 computations (20.1% saved)

regimes54.0ms (1%)

Counts
46 → 1
Calls
Call 1
Inputs
-6
6
-6
6
6
6
-6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (/.f64 (+.f64 x -1) x))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x)))
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x)))))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x -6 6) -1)
(pow.f64 (/.f64 x (*.f64 x 6)) -1)
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
(/.f64 1 (/.f64 x (fma.f64 x 6 -6)))
(/.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 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
(*.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 (+.f64 x -1) (+.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) x) 1/6) 1/6))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 1/6))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
(*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 (-.f64 x 1) 1/6))
(*.f64 6 (*.f64 (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)))
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)))
(/.f64 (*.f64 6 (-.f64 x 1)) (fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 4 (sqrt.f64 x))))
(pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1)
Outputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
Calls

3 calls:

24.0ms
x
8.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
7.0ms
(/.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 466 to 345 computations (26% saved)

regimes30.0ms (0.5%)

Counts
32 → 1
Calls
Call 1
Inputs
-6
6
-6
6
6
6
-6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (/.f64 (+.f64 x -1) x))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x)))
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x)))))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x -6 6) -1)
(pow.f64 (/.f64 x (*.f64 x 6)) -1)
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
(/.f64 1 (/.f64 x (fma.f64 x 6 -6)))
(/.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 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
Outputs
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 227 to 172 computations (24.2% saved)

regimes25.0ms (0.4%)

Counts
31 → 1
Calls
Call 1
Inputs
-6
6
-6
6
6
6
-6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (/.f64 (+.f64 x -1) x))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x)))
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x)))))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x -6 6) -1)
(pow.f64 (/.f64 x (*.f64 x 6)) -1)
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
(/.f64 1 (/.f64 x (fma.f64 x 6 -6)))
(/.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 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
Outputs
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 213 to 162 computations (23.9% saved)

regimes38.0ms (0.7%)

Counts
30 → 2
Calls
Call 1
Inputs
-6
6
-6
6
6
6
-6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (/.f64 (+.f64 x -1) x))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x)))
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x)))))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x -6 6) -1)
(pow.f64 (/.f64 x (*.f64 x 6)) -1)
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
(/.f64 1 (/.f64 x (fma.f64 x 6 -6)))
(/.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 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Calls

1 calls:

30.0ms
x
Results
ErrorSegmentsBranch
2.9b2x
Compiler

Compiled 199 to 152 computations (23.6% saved)

bsearch24.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
1.370840529417722
49.65230930963503
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes54.0ms (1%)

Counts
29 → 1
Calls
Call 1
Inputs
-6
6
-6
6
6
6
-6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (/.f64 (+.f64 x -1) x))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x)))
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x)))))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x -6 6) -1)
(pow.f64 (/.f64 x (*.f64 x 6)) -1)
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
(/.f64 1 (/.f64 x (fma.f64 x 6 -6)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(pow.f64 (/.f64 x (+.f64 (*.f64 x 6) -6)) -1)
Outputs
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
Calls

1 calls:

47.0ms
x
Results
ErrorSegmentsBranch
4.0b1x
Compiler

Compiled 187 to 143 computations (23.5% saved)

regimes116.0ms (2.1%)

Counts
27 → 1
Calls
Call 1
Inputs
-6
6
-6
6
6
6
-6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(*.f64 6 (/.f64 (+.f64 x -1) x))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 1 (/.f64 1 (+.f64 6 (/.f64 -12 x))))
(*.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 x)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(*.f64 (/.f64 6 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (+.f64 1/6 (/.f64 -1/3 x)))
(/.f64 1 (/.f64 (-.f64 6 (/.f64 -12 x)) (-.f64 36 (/.f64 144 (*.f64 x x)))))
(*.f64 (-.f64 36 (/.f64 144 (*.f64 x x))) (/.f64 1 (-.f64 6 (/.f64 -12 x))))
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x 6 -6) x)
(/.f64 (fma.f64 x -6 6) -1)
(pow.f64 (/.f64 x (*.f64 x 6)) -1)
(/.f64 (fma.f64 x -6 6) (neg.f64 x))
(/.f64 1 (/.f64 x (fma.f64 x 6 -6)))
Outputs
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
Calls

1 calls:

110.0ms
x
Results
ErrorSegmentsBranch
4.0b1x
Compiler

Compiled 170 to 130 computations (23.5% saved)

regimes22.0ms (0.4%)

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

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
4.0b2x
Compiler

Compiled 69 to 55 computations (20.3% saved)

bsearch23.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.021398597363671983
1.370840529417722
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes39.0ms (0.7%)

Counts
9 → 2
Calls
Call 1
Inputs
-6
6
-6
6
6
6
-6
(/.f64 (*.f64 6 x) x)
(+.f64 6 (/.f64 -6 x))
Outputs
-6
(+.f64 6 (/.f64 -6 x))
Calls

1 calls:

36.0ms
x
Results
ErrorSegmentsBranch
4.0b2x
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch22.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.021398597363671983
1.370840529417722
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes100.0ms (1.8%)

Accuracy

Total -59.0b remaining (-1466.9%)

Threshold costs -59.0b (-1466.9%)

Counts
8 → 2
Calls
Call 1
Inputs
-6
6
-6
6
6
6
-6
(/.f64 (*.f64 6 x) x)
Outputs
-6
6
Calls

1 calls:

99.0ms
x
Results
ErrorSegmentsBranch
4.0b2x
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch25.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
0.021398597363671983
1.370840529417722
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify14.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043167
163167
267167
369167
470167
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(*.f64 (/.f64 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
(if (<=.f64 x 3086858448735013/2251799813685248) (/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(if (<=.f64 x 394734449104012992/18446744073709551616) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 394734449104012992/18446744073709551616) -6 (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 394734449104012992/18446744073709551616) -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 6 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1)))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) 1/6))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1) 1/6))
(if (<=.f64 x 3086858448735013/2251799813685248) (/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x)) (/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
(if (<=.f64 x 3086858448735013/2251799813685248) (/.f64 (+.f64 6 (*.f64 x -6)) (-.f64 -1 x)) (/.f64 (*.f64 6 x) (+.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1))))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(/.f64 (+.f64 6 (*.f64 x -6)) (-.f64 -1 x))
(if (<=.f64 x 394734449104012992/18446744073709551616) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 6167725767250203/288230376151711744) (+.f64 (*.f64 x 12) -6) (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 6167725767250203/288230376151711744) (+.f64 -6 (*.f64 x 12)) (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 394734449104012992/18446744073709551616) -6 (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 6167725767250203/288230376151711744) -6 (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 394734449104012992/18446744073709551616) -6 6)
(if (<=.f64 x 6167725767250203/288230376151711744) -6 6)
-6
Compiler

Compiled 125 to 100 computations (20% saved)

soundness0.0ms (0%)

end84.0ms (1.5%)

Compiler

Compiled 116 to 88 computations (24.1% saved)

Profiling

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