Details

Time bar (total: 5.7s)

analyze7.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
60%37.5%25%0%0%37.5%0%4
77.8%43.7%12.5%0%0%43.7%0%5
88.2%46.9%6.2%0%0%46.9%0%6
93.9%48.4%3.1%0%0%48.4%0%7
96.9%49.2%1.6%0%0%49.2%0%8
98.4%49.6%0.8%0%0%49.6%0%9
99.2%49.8%0.4%0%0%49.8%0%10
99.6%49.9%0.2%0%0%49.9%0%11
99.8%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.2s (21.4%)

Results
1.2s8256×body256valid
1.0ms7×body256invalid
Bogosity

preprocess93.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
12519
24617
37017
48717
510717
615017
724717
840317
968217
10115017
11163117
12209117
13325717
14614417
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 6 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
(*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 x -1))
(/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify83.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01221
12519
24617
37017
48717
510717
615017
724717
840317
968217
10115017
11163117
12209117
13325717
14614417
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 6 (/.f64 (+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x)))) (+.f64 x -1)))
(*.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 x -1))
(/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))

eval1.0ms (0%)

Compiler

Compiled 27 to 20 computations (25.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
▶0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize20.0ms (0.3%)

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)

series7.0ms (0.1%)

Counts
3 → 18
Calls

9 calls:

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

rewrite93.0ms (1.6%)

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

Useful iterations: 2 (0.0ms)

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

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 23 computations (36.1% saved)

series6.0ms (0.1%)

Counts
3 → 17
Calls

9 calls:

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

rewrite82.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
123729
2286329
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
(fma.f64 x -6 6)
(fma.f64 4 (sqrt.f64 x) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 6 (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -6) 1) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -6 6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -6 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -6 6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -6 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -6 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (cbrt.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -6) 3) 216) (+.f64 (pow.f64 (*.f64 x -6) 2) (-.f64 36 (*.f64 (*.f64 x -6) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x -6) 2) 36) (fma.f64 x -6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -6 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -6 6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -6 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -6 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x -6 6)))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -6 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -6 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (*.f64 (log.f64 (fma.f64 x -6 6)) 1) 1))))))
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simplify12.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0677
1859
21059
Stop Event
1×saturated
Counts
141 → 130
Calls
Call 1
Inputs
-6
6
6
6
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
x
x
Outputs
-6
6
6
6
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
(+.f64 6 (*.f64 -6 x))
(fma.f64 -6 x 6)
x
x

eval132.0ms (2.3%)

Compiler

Compiled 5548 to 4048 computations (27% saved)

prune46.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New28810298
Fresh000
Picked101
Done011
Total28911300
Error
0b
Counts
300 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))
33.6b
-6
30.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
16.6b
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (-.f64 x -1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
30.2b
(/.f64 (*.f64 6 (-.f64 x 1)) x)
▶32.4b
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
▶1.8b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
▶0.3b
(pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1)
31.2b
6
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 225 to 178 computations (20.9% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 47 to 30 computations (36.2% saved)

series4.0ms (0.1%)

Counts
2 → 6
Calls

6 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
@inf
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))

rewrite75.0ms (1.3%)

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

Useful iterations: 2 (0.0ms)

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

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

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)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 15 computations (25% saved)

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))

rewrite67.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify59.0ms (1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
031139
191136
2230134
3627129
41936124
57468124
Stop Event
1×node limit
Counts
45 → 47
Calls
Call 1
Inputs
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6)
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
Outputs
-6
(-.f64 (*.f64 12 x) 6)
(fma.f64 12 x -6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -12 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -12 (*.f64 x x) -6))
(fma.f64 12 x (fma.f64 x (*.f64 x -12) -6))
(fma.f64 x (fma.f64 x -12 12) -6)
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6)
(+.f64 (fma.f64 12 x (fma.f64 12 (pow.f64 x 3) (*.f64 -12 (*.f64 x x)))) -6)
(+.f64 (*.f64 12 (+.f64 x (pow.f64 x 3))) (fma.f64 -12 (*.f64 x x) -6))
(fma.f64 12 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -12) -6))
(fma.f64 12 x (fma.f64 x (*.f64 x (fma.f64 12 x -12)) -6))
(fma.f64 x (+.f64 12 (*.f64 x (fma.f64 12 x -12))) -6)
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 12 x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x)))
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (+.f64 6 (/.f64 -12 x)))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 6 (/.f64 12 x))
(+.f64 6 (/.f64 -12 x))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (/.f64 12 x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x)))
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (*.f64 (/.f64 1 x) (+.f64 (/.f64 12 x) -12)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (+.f64 6 (/.f64 -12 x)))

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 62 to 41 computations (33.9% saved)

series5.0ms (0.1%)

Counts
3 → 9
Calls

9 calls:

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

rewrite88.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
603×log-prod_binary64
340×pow2_binary64
255×prod-diff_binary64
235×pow1/3_binary64
233×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01354
128751
2366751
Stop Event
1×node limit
Counts
3 → 120
Calls
Call 1
Inputs
(*.f64 6 (/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))
(/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -6 (/.f64 (neg.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1))) 2)) (cbrt.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 6 (sqrt.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1)))) (sqrt.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 36 (pow.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1)) 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6 (/.f64 (+.f64 x -1) (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))))) 1))))))
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-1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) (log.f64 (+.f64 x -1))) 1))))))

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
049
179
Stop Event
1×saturated
Counts
129 → 124
Calls
Call 1
Inputs
-6
6
6
-1
1
1
-1
1
1
Outputs
-6
6
6
-1
1
1
-1
1
1

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 4 (sqrt.f64 x) x)
✓0.0b
(pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1)
0.1b
(fma.f64 x -6 6)
✓0.2b
(/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6))
Compiler

Compiled 50 to 33 computations (34% saved)

series8.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

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

rewrite99.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
532×log-prod_binary64
318×pow2_binary64
301×pow-prod-down_binary64
245×prod-diff_binary64
219×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
126634
2330734
Stop Event
1×node limit
Counts
2 → 135
Calls
Call 1
Inputs
(/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6))
(pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1)
Outputs
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simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
Stop Event
1×saturated
Counts
141 → 139
Calls
Call 1
Inputs
-1/6
1/6
1/6
-6
6
6
Outputs
-1/6
1/6
1/6
-6
6
6

eval425.0ms (7.4%)

Compiler

Compiled 13371 to 10072 computations (24.7% saved)

prune88.0ms (1.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New58911600
Fresh325
Picked101
Done325
Total59615611
Error
0b
Counts
611 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
33.6b
-6
0.3b
(/.f64 1 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)))
31.2b
6
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
0.2b
(/.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
▶1.8b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
▶1.9b
(*.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 x)))
30.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0b
(/.f64 1 (/.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1)) 6))
1.7b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
✓1.8b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
▶0.0b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1))))
32.4b
(-.f64 (*.f64 12 x) 6)
▶30.1b
(+.f64 6 (/.f64 -12 x))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 302 to 245 computations (18.9% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 55 to 36 computations (34.5% saved)

series4.0ms (0.1%)

Counts
3 → 8
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@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
@0
(*.f64 6 (/.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))

rewrite91.0ms (1.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01342
129142
2394740
Stop Event
1×node limit
Counts
3 → 137
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(+.f64 (*.f64 4 (sqrt.f64 x)) x)
Outputs
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log1p.f64 (expm1.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) 4 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 16)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 x 16)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 x 16)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (cbrt.f64 (sqrt.f64 (*.f64 x 16))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.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)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) x) 2) -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (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)) (sqrt.f64 (*.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) x)))))

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite83.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
632×unpow-prod-down_binary64
447×log-prod_binary64
260×prod-diff_binary64
259×pow2_binary64
243×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
120416
2269616
Stop Event
1×node limit
Counts
2 → 128
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(+.f64 (*.f64 x -6) 6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) 1) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (cbrt.f64 (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 -1 x) -1/2) 1) (pow.f64 (/.f64 (fma.f64 x -6 6) (sqrt.f64 (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 2) (sqrt.f64 (-.f64 -1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 1 (*.f64 x x))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -1 x)) (fma.f64 x -6 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (fma.f64 x -6 6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) -2) -1) (pow.f64 (/.f64 (-.f64 -1 x) (cbrt.f64 (fma.f64 x -6 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -6 6)) 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-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 (-.f64 -1 x) (fma.f64 x -6 6)) -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 log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 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 (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -6 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x -6) 2) (fma.f64 x -6 -6)) (/.f64 36 (fma.f64 x -6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -6 6)) (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 -216 (pow.f64 x 3) 216) (/.f64 1 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -216 (pow.f64 x 3) 216) (pow.f64 (/.f64 1 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36))) 1))))) (#(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 (fma.f64 36 (*.f64 x x) -36) (pow.f64 (/.f64 1 (fma.f64 x -6 -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x -6 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -6 6) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -6 6) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x -6 6) (cbrt.f64 (fma.f64 x -6 6))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -6 6) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -6 6))) 2) 3) (cbrt.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -6 6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -6 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) (fma.f64 -216 (pow.f64 x 3) 216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -6 -6) (fma.f64 36 (*.f64 x x) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -216 (pow.f64 x 3) 216) (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -216 (pow.f64 x 3) 216) (+.f64 36 (-.f64 (pow.f64 (*.f64 x -6) 2) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 36 (*.f64 x x) -36) (fma.f64 x -6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -216 (pow.f64 x 3) 216)) (neg.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 36 (*.f64 x x) -36)) (neg.f64 (fma.f64 x -6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (pow.f64 (*.f64 x -6) 2)) (-.f64 6 (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -6 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -6 6) 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 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) (fma.f64 -216 (pow.f64 x 3) 216)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 -6) (fma.f64 36 (*.f64 x x) -36)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -6 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -6 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -6 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (pow.f64 (*.f64 x -6) 2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -6) 2)) (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)))))

simplify78.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
562×associate-*l*_binary64
513×fma-neg_binary64
426×times-frac_binary64
397×associate-/r*_binary64
394×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033211
195190
2236188
3634183
41957178
57546178
Stop Event
1×node limit
Counts
152 → 144
Calls
Call 1
Inputs
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -12 (pow.f64 x 2))) 6)
(-.f64 (+.f64 (*.f64 12 x) (+.f64 (*.f64 12 (pow.f64 x 3)) (*.f64 -12 (pow.f64 x 2)))) 6)
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
6
(-.f64 6 (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (*.f64 12 (/.f64 1 x)))
(-.f64 (+.f64 6 (*.f64 12 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
6
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(*.f64 -6 x)
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
(+.f64 6 (*.f64 -6 x))
Outputs
-6
(-.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 x (fma.f64 x -12 12) (fma.f64 12 (pow.f64 x 3) -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 (+.f64 6 (/.f64 12 (*.f64 x x))) (/.f64 12 x))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (/.f64 -12 x)))
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 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 6 (/.f64 -12 x)) (+.f64 (/.f64 12 (*.f64 x 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 (+.f64 6 (/.f64 12 (*.f64 x x))) (/.f64 12 x))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (/.f64 -12 x)))
(+.f64 (+.f64 6 (/.f64 -12 x)) (/.f64 12 (*.f64 x x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 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 6 (/.f64 -12 x)) (+.f64 (/.f64 12 (*.f64 x 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 -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)

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 28 to 22 computations (21.4% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite94.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
974×pow1_binary64
910×add-log-exp_binary64
909×log1p-expm1-u_binary64
909×expm1-log1p-u_binary64
101×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
120918
2246518
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(*.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 x)))
(/.f64 1 (-.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -6) (/.f64 1 (-.f64 -1 x))) (*.f64 6 (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (*.f64 x -6)) (*.f64 (/.f64 1 (-.f64 -1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 x -6 6) 2)) (/.f64 (-.f64 -1 x) (cbrt.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x -6 6)) (/.f64 (-.f64 -1 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 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x -6 6) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x -6 6) 1) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x -6 6) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2))) (cbrt.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x -6 6)) (neg.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x -6 6) -1) (neg.f64 (-.f64 -1 x)))))) (#(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 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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (/.f64 1 (-.f64 -1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 -1 x)) 3) (pow.f64 (fma.f64 x -6 6) 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 x) -1/2) (pow.f64 (-.f64 -1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 -1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 -1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 -1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 -1 x))))))))

simplify68.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
913×fma-neg_binary64
598×cancel-sign-sub-inv_binary64
504×times-frac_binary64
480×fma-def_binary64
373×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
048312
1137307
2342298
3980293
43159288
Stop Event
1×node limit
Counts
74 → 78
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))))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 (+.f64 6 (/.f64 12 (*.f64 x x))) (/.f64 12 x))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (/.f64 -12 x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x)))
(+.f64 6 (*.f64 (/.f64 12 x) (+.f64 (/.f64 1 x) -1)))
(-.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 6 (+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 6 (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (/.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 (+.f64 6 (/.f64 12 (*.f64 x x))) (/.f64 12 x))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 6 (/.f64 -12 x)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 -12 x)))
(+.f64 6 (*.f64 (/.f64 12 x) (+.f64 (/.f64 1 x) -1)))
(-.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 6 (+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 -12 x) (/.f64 -12 (pow.f64 x 3)))))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 x x)) (-.f64 (/.f64 -12 x) (/.f64 12 (pow.f64 x 3)))))
(+.f64 6 (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 12 (/.f64 -12 x)) (/.f64 -12 x)))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1)
(+.f64 -1 (-.f64 x (*.f64 x x)))
(-.f64 x (fma.f64 x x 1))
(fma.f64 x (-.f64 1 x) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1)
(+.f64 -1 (+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x))))
(*.f64 (fma.f64 x x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x 1))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))))

localize48.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 71 to 48 computations (32.4% saved)

series4.0ms (0.1%)

Counts
3 → 9
Calls

9 calls:

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

rewrite95.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
697×log-prod_binary64
516×fma-def_binary64
316×fma-neg_binary64
261×log1p-udef_binary64
260×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01454
131851
2432651
Stop Event
1×node limit
Counts
3 → 114
Calls
Call 1
Inputs
(*.f64 6 (/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1)))
(/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1))
Outputs
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(/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 1 (fma.f64 4 (sqrt.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 (fma.f64 4 (sqrt.f64 x) x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) x)) (log.f64 (+.f64 x -1))) 1))))))

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

eval282.0ms (4.9%)

Compiler

Compiled 10566 to 8131 computations (23% saved)

prune88.0ms (1.5%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New5874591
Fresh268
Picked011
Done156
Total59016606
Error
0b
Counts
606 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(/.f64 1 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)))
31.2b
6
1.7b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
33.6b
-6
✓1.8b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
2.0b
(/.f64 1 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
▶1.9b
(*.f64 (+.f64 (*.f64 x -6) 6) (/.f64 1 (-.f64 -1 x)))
0.2b
(/.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
▶30.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶0.0b
(/.f64 1 (/.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1)) 6))
✓1.8b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
✓0.0b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1))))
▶32.4b
(-.f64 (*.f64 12 x) 6)
✓30.1b
(+.f64 6 (/.f64 -12 x))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 278 to 226 computations (18.7% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 60 to 41 computations (31.7% saved)

series6.0ms (0.1%)

Counts
4 → 12
Calls

12 calls:

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

rewrite138.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
589×log-prod_binary64
332×pow2_binary64
290×prod-diff_binary64
231×pow1/3_binary64
230×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01367
129364
2380362
Stop Event
1×node limit
Counts
4 → 141
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1)) 6)
(/.f64 1 (/.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1)) 6))
(fma.f64 4 (sqrt.f64 x) (+.f64 x 1))
(/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (/.f64 1 (fma.f64 x 6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (*.f64 (/.f64 -1 (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))) 2) (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))) (sqrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x 6 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) 6) (/.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 6) (/.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 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sqrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) 1))))))

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11012
Stop Event
1×saturated
Counts
153 → 148
Calls
Call 1
Inputs
-1/6
1/6
1/6
-6
6
6
1
x
x
-1
1
1
Outputs
-1/6
1/6
1/6
-6
6
6
1
x
x
-1
1
1

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite50.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 33 to 26 computations (21.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite66.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
492×log-prod_binary64
294×pow-prod-down_binary64
284×pow2_binary64
251×prod-diff_binary64
198×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
123911
2299811
Stop Event
1×node limit
Counts
1 → 54
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 x -6) 6) (/.f64 1 (-.f64 -1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -6) (/.f64 1 (-.f64 -1 x))) (*.f64 6 (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (/.f64 1 (-.f64 -1 x))) (*.f64 (*.f64 x -6) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (*.f64 x -6)) (*.f64 (/.f64 1 (-.f64 -1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) 6) (*.f64 (/.f64 1 (-.f64 -1 x)) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 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 (-.f64 -1 x) (cbrt.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x -6 6)) (/.f64 (-.f64 -1 x) (sqrt.f64 (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -216 (pow.f64 x 3) 216) (*.f64 (-.f64 -1 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 (-.f64 -1 x) (fma.f64 x -6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x -6 6)) (neg.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -216 (pow.f64 x 3) 216) 1) (*.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 36 (*.f64 x x) -36) 1) (*.f64 (fma.f64 x -6 -6) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -216 (pow.f64 x 3) 216) -1) (*.f64 (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)) (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 36 (*.f64 x x) -36) -1) (*.f64 (fma.f64 x -6 -6) (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 -216 (pow.f64 x 3) 216)) (*.f64 (neg.f64 (-.f64 -1 x)) (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 36 (*.f64 x x) -36)) (*.f64 (neg.f64 (-.f64 -1 x)) (fma.f64 x -6 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x -6 6) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x -6 6) 1) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x -6 6) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -216 (pow.f64 x 3) 216) (/.f64 1 (-.f64 -1 x))) (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 36 (*.f64 x x) -36) (/.f64 1 (-.f64 -1 x))) (fma.f64 x -6 -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x -6 6)) (neg.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x -6 6) -1) (neg.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (fma.f64 -216 (pow.f64 x 3) 216)) (-.f64 (fma.f64 36 (*.f64 x x) 36) (*.f64 x -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (fma.f64 36 (*.f64 x x) -36)) (fma.f64 x -6 -6))))) (#(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)) 2) 1/2)))) (#(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 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 -1 x) 3)) 1/3)))) (#(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 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 log.f64 (+.f64 1 (expm1.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -6) (/.f64 1 (-.f64 -1 x)) (*.f64 6 (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (/.f64 1 (-.f64 -1 x)) (*.f64 (*.f64 x -6) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 -1 x)) (*.f64 x -6) (*.f64 (/.f64 1 (-.f64 -1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 -1 x)) 6 (*.f64 (/.f64 1 (-.f64 -1 x)) (*.f64 x -6)))))))

simplify57.0ms (1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
031139
191136
2230134
3627129
41936124
57468124
Stop Event
1×node limit
Counts
66 → 68
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)))

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 37 to 24 computations (35.1% saved)

series3.0ms (0.1%)

Counts
1 → 3
Calls

3 calls:

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

rewrite68.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01118
124616
2340416
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 x (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 x) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2)) (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) (*.f64 (cbrt.f64 (*.f64 6 x)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (sqrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 6 x)) (*.f64 (sqrt.f64 (*.f64 6 x)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -6) (/.f64 1 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (*.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 6 x)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 6 x)) 1) (/.f64 (sqrt.f64 (*.f64 6 x)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 6 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -2) (/.f64 (*.f64 6 x) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 6 x)) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (sqrt.f64 (*.f64 6 x)) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 x (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 6 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) -1/2) (/.f64 (*.f64 6 x) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (cbrt.f64 (*.f64 6 x)) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 6 x) (fma.f64 (pow.f64 x 3/2) 64 (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 x 16) (*.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 6 x) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (-.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 6 x) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 6 x) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 6 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 6 x) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6 (/.f64 x (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1))))))

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 4 (sqrt.f64 x) x)
✓0.0b
(/.f64 1 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)))
0.1b
(fma.f64 x -6 6)
0.2b
(/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6))
Compiler

Compiled 51 to 34 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite71.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
556×log-prod_binary64
329×pow2_binary64
313×pow-prod-down_binary64
245×prod-diff_binary64
228×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01320
128017
2344217
Stop Event
1×node limit
Counts
1 → 54
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -6) (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (*.f64 6 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (*.f64 x -6)) (*.f64 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (fma.f64 x -6 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2) (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) 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*.f64 (*.f64 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (sqrt.f64 (fma.f64 x -6 6))) (sqrt.f64 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (fma.f64 x -6 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 x -6 6)) (sqrt.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) 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 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -6) (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (*.f64 6 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) (*.f64 x -6) (*.f64 (/.f64 1 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x))) 6))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
Stop Event
1×saturated
Counts
57 → 56
Calls
Call 1
Inputs
-6
6
6
Outputs
-6
6
6

eval408.0ms (7.1%)

Compiler

Compiled 15075 to 11334 computations (24.8% saved)

prune109.0ms (1.9%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New7044708
Fresh145
Picked101
Done2810
Total70816724
Error
0b
Counts
724 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
31.2b
6
0.2b
(/.f64 1 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 (*.f64 x -6) 6)))
1.7b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
33.6b
-6
✓1.8b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
2.0b
(/.f64 1 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
✓1.9b
(*.f64 (+.f64 (*.f64 x -6) 6) (/.f64 1 (-.f64 -1 x)))
0.2b
(/.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
17.4b
(*.f64 (+.f64 (*.f64 x -6) 6) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 x -1)))
✓1.8b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
✓30.1b
(+.f64 6 (/.f64 -12 x))
0.0b
(/.f64 1 (/.f64 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (+.f64 x -1)) 6))
✓32.4b
(-.f64 (*.f64 12 x) 6)
✓30.3b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 180 to 146 computations (18.9% saved)

regimes44.0ms (0.8%)

Counts
31 → 1
Calls
Call 1
Inputs
-6
-6
6
-6
6
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
(*.f64 (+.f64 (*.f64 x -6) 6) (/.f64 1 (-.f64 -1 x)))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
(*.f64 (+.f64 (*.f64 x -6) 6) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 x -1)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(/.f64 1 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)))
(*.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 x)))
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 1 (/.f64 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (+.f64 x -1)) 6))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1))))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
(/.f64 1 (/.f64 (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)) (+.f64 (*.f64 x -6) 6)))
(/.f64 (/.f64 6 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))
(/.f64 1 (/.f64 (/.f64 (fma.f64 4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 x -1)) 6))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (-.f64 x -1)) (+.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 -1 (fma.f64 4 (sqrt.f64 x) x)) (fma.f64 x -6 6)))
(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:

20.0ms
x
4.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
4.0ms
(/.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 353 to 266 computations (24.6% saved)

regimes43.0ms (0.7%)

Counts
18 → 1
Calls
Call 1
Inputs
-6
-6
6
-6
6
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
(*.f64 (+.f64 (*.f64 x -6) 6) (/.f64 1 (-.f64 -1 x)))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
(*.f64 (+.f64 (*.f64 x -6) 6) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 x -1)))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
(/.f64 1 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)))
(*.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 x)))
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
1.7b1x
Compiler

Compiled 131 to 104 computations (20.6% saved)

regimes19.0ms (0.3%)

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

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.8b1x
Compiler

Compiled 41 to 33 computations (19.5% saved)

regimes106.0ms (1.9%)

Counts
9 → 2
Calls
Call 1
Inputs
-6
-6
6
-6
6
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
Outputs
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
Calls

1 calls:

102.0ms
x
Results
ErrorSegmentsBranch
1.7b2x
Compiler

Compiled 32 to 26 computations (18.8% saved)

bsearch43.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
43.0ms
2.2078869502073876e-9
3.437365282383633
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes31.0ms (0.5%)

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

1 calls:

28.0ms
x
Results
ErrorSegmentsBranch
1.7b2x
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch122.0ms (2.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
122.0ms
2.2078869502073876e-9
3.437365282383633
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes22.0ms (0.4%)

Counts
5 → 2
Calls
Call 1
Inputs
-6
-6
6
-6
6
Outputs
-6
6
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
1.7b2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch41.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
40.0ms
2.2078869502073876e-9
3.437365282383633
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
-6
-6
Outputs
-6
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
33.6b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify44.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03493
15193
25593
35793
45893
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(if (<=.f64 x 1334585770447955/604462909807314587353088) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1334585770447955/604462909807314587353088) (-.f64 (*.f64 12 x) 6) 6)
(if (<=.f64 x 1334585770447955/604462909807314587353088) -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 6 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(/.f64 (+.f64 6 (*.f64 x -6)) (-.f64 -1 x))
(if (<=.f64 x 1334585770447955/604462909807314587353088) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1334585770447955/604462909807314587353088) (+.f64 (*.f64 x 12) -6) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1334585770447955/604462909807314587353088) (+.f64 -6 (*.f64 x 12)) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 1334585770447955/604462909807314587353088) (-.f64 (*.f64 12 x) 6) 6)
(if (<=.f64 x 1334585770447955/604462909807314587353088) (+.f64 (*.f64 x 12) -6) 6)
(if (<=.f64 x 1334585770447955/604462909807314587353088) (+.f64 -6 (*.f64 x 12)) 6)
(if (<=.f64 x 1334585770447955/604462909807314587353088) -6 6)
-6
Compiler

Compiled 72 to 59 computations (18.1% saved)

soundness0.0ms (0%)

end193.0ms (3.4%)

Compiler

Compiled 66 to 53 computations (19.7% saved)

Profiling

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