Details

Time bar (total: 7.9s)

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 (15.5%)

Results
1.2s8256×body256valid
0.0ms4×body256invalid
Bogosity

preprocess101.0ms (1.3%)

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)

simplify88.0ms (1.1%)

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

Compiled 28 to 22 computations (21.4% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 44 to 30 computations (31.8% saved)

series9.0ms (0.1%)

Counts
3 → 18
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
2.0ms
x
@-inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0ms
x
@-inf
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

rewrite103.0ms (1.3%)

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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((#(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

localize16.0ms (0.2%)

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)

series7.0ms (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)

rewrite90.0ms (1.1%)

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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simplify11.0ms (0.1%)

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

eval130.0ms (1.6%)

Compiler

Compiled 5548 to 4048 computations (27% saved)

prune50.0ms (0.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New28711298
Fresh000
Picked101
Done011
Total28812300
Error
0b
Counts
300 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
17.9b
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (-.f64 x -1)) (+.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))))
30.4b
6
▶0.1b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶17.0b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
▶2.6b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))
35.1b
-6
17.0b
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
29.4b
(/.f64 (*.f64 6 (-.f64 x 1)) x)
▶33.8b
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
29.7b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 291 to 230 computations (21% saved)

localize19.0ms (0.2%)

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

rewrite80.0ms (1%)

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))))))

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

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)

localize9.0ms (0.1%)

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
1.0ms
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))

rewrite60.0ms (0.8%)

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 (0.7%)

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)))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 44 to 30 computations (31.8% saved)

series3.0ms (0%)

Counts
2 → 6
Calls

6 calls:

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

rewrite88.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01224
128022
2394322
Stop Event
1×node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(-.f64 (*.f64 6 x) 6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 6 x) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (neg.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 6 x) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 x -6) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 6 x -6) 2)) (*.f64 (cbrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 x -6)) (*.f64 (sqrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 6 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))) (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 6 x -6) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) 1) (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3))) (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (+.f64 1 (-.f64 x (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 6 x -6) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 6 x -6) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 6 x -6) 3) 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(sqrt.f64 x) 1)))) (/.f64 6 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (neg.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) (neg.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 6 x)) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (sqrt.f64 (*.f64 6 x)) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (neg.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 6 x) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3))) (fma.f64 (*.f64 4 (sqrt.f64 x)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (neg.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -6 (*.f64 6 x))))) (#(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 (fma.f64 6 x -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 6 x -6)) (cbrt.f64 (pow.f64 (fma.f64 6 x -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 6 x -6) 2)) (cbrt.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 x -6)) (sqrt.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 216 (pow.f64 x 3) -216) (/.f64 1 (fma.f64 x (*.f64 x 36) (fma.f64 x 36 36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 36) -36) (/.f64 1 (fma.f64 6 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 x 36) (fma.f64 x 36 36)) (fma.f64 216 (pow.f64 x 3) -216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 6 x 6) (fma.f64 x (*.f64 x 36) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 216 (pow.f64 x 3) -216) (fma.f64 x (*.f64 x 36) (fma.f64 x 36 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 216 (pow.f64 x 3) -216) (fma.f64 x (*.f64 x 36) (-.f64 36 (*.f64 (*.f64 6 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x 36) -36) (fma.f64 6 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 216 (pow.f64 x 3) -216)) (neg.f64 (fma.f64 x (*.f64 x 36) (fma.f64 x 36 36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 x 36) -36)) (neg.f64 (fma.f64 6 x 6)))))) (#(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) 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 pow.f64 (/.f64 (fma.f64 x (*.f64 x 36) (fma.f64 x 36 36)) (fma.f64 216 (pow.f64 x 3) -216)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 6 x 6) (fma.f64 x (*.f64 x 36) -36)) -1)))) (#(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 fma.f64 (*.f64 6 x) 1 -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 6 x) -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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 6 x)) (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 6 x)) 2) (cbrt.f64 (*.f64 6 x)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 6 x)) (sqrt.f64 (*.f64 6 x)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (sqrt.f64 x)) (sqrt.f64 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -6)))))

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))
✓0.0b
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
✓0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
✓16.4b
(/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Compiler

Compiled 92 to 67 computations (27.2% saved)

series10.0ms (0.1%)

Counts
4 → 21
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
2.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
1.0ms
x
@-inf
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
1.0ms
x
@0
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
1.0ms
x
@inf
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))

rewrite131.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
436×fma-neg_binary64
316×expm1-udef_binary64
316×log1p-udef_binary64
214×add-sqr-sqrt_binary64
205×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019103
143752
2663052
Stop Event
1×node limit
Counts
4 → 351
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
(-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 6) (pow.f64 (*.f64 x -16) 3)) (+.f64 (pow.f64 (+.f64 x 1) 4) (-.f64 (*.f64 (*.f64 x -16) (*.f64 x -16)) (*.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 4) (*.f64 (*.f64 x -16) (*.f64 x -16))) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 x 3/2) -64)) (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16)) (*.f64 (+.f64 x 1) (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))) (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))) (neg.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 x 3/2) -64))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16)) (*.f64 (+.f64 x 1) (*.f64 -4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16)))) (neg.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (+.f64 x 1) (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 2) 1 (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 4)) (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 x 1)) (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)) (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (*.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (+.f64 x 1)) (*.f64 x -16))))))

simplify187.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
635×fma-def_binary64
560×cube-prod_binary64
552×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013105
12891
24785
37285
414385
535585
6110685
7232985
8271785
9290985
10311985
11343185
12384085
13432185
14489385
15558985
16643585
17682685
18711485
19739085
20746285
21749885
Stop Event
1×node limit
Counts
372 → 276
Calls
Call 1
Inputs
1
x
x
-6
6
6
1
x
x
1
(+.f64 (*.f64 -14 x) 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -14 x) (pow.f64 x 2))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -14 x) (pow.f64 x 2))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
Outputs
1
x
x
-6
6
6
1
x
x
1
(+.f64 (*.f64 -14 x) 1)
(fma.f64 -14 x 1)
(fma.f64 x -14 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -14 x) (pow.f64 x 2))
(fma.f64 -14 x (*.f64 x x))
(*.f64 x (+.f64 x -14))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -14 x) (pow.f64 x 2))
(fma.f64 -14 x (*.f64 x x))
(*.f64 x (+.f64 x -14))
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)
(+.f64 (*.f64 -14 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 -14 x 1) (*.f64 x x))
(fma.f64 x -14 (fma.f64 x x 1))
(fma.f64 x (+.f64 x -14) 1)

eval345.0ms (4.3%)

Compiler

Compiled 15628 to 11623 computations (25.6% saved)

prune109.0ms (1.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New68312695
Fresh516
Picked101
Done325
Total69215707
Error
0b
Counts
707 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
33.8b
(-.f64 (*.f64 12 x) 6)
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
17.9b
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (-.f64 x -1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
2.6b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
▶2.6b
(*.f64 (fma.f64 x -6 6) (/.f64 1 (-.f64 -1 x)))
▶29.4b
(/.f64 (-.f64 (*.f64 6 x) 6) x)
0.1b
(/.f64 6 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))
✓0.1b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶34.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
✓2.6b
(/.f64 (fma.f64 x -6 6) (-.f64 -1 x))
▶29.4b
(+.f64 6 (/.f64 -12 x))
29.7b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
30.4b
6
35.1b
-6
17.1b
(*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (/.f64 (+.f64 (*.f64 6 x) -6) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))))
Compiler

Compiled 324 to 257 computations (20.7% saved)

localize21.0ms (0.3%)

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

rewrite88.0ms (1.1%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) 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simplify10.0ms (0.1%)

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%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
840×pow1_binary64
791×add-log-exp_binary64
791×log1p-expm1-u_binary64
791×expm1-log1p-u_binary64
777×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11438
220218
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 6 x) 6) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (/.f64 x x)) (neg.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 6 (/.f64 x x)) (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 6 x -6) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 x -6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 6 x -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) x)) 2) (cbrt.f64 (/.f64 (fma.f64 6 x -6) x)))))) (#(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 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) x)) (sqrt.f64 (/.f64 (fma.f64 6 x -6) x)))))) (#(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 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 6 x -6)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) 1) (/.f64 (sqrt.f64 (fma.f64 6 x -6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 6 x -6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 6 x -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 6 x -6) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 6 x -6) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 6 x -6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 6 x -6) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 6 x -6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 6 x -6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 6 x -6) x)))))))

simplify14.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11969
23069
34869
46669
59169
612169
714969
816769
917069
Stop Event
1×saturated
Counts
45 → 37
Calls
Call 1
Inputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
Outputs
(/.f64 -6 x)
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
6
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))
(-.f64 6 (*.f64 6 (/.f64 1 x)))
(-.f64 6 (/.f64 6 x))
(+.f64 6 (/.f64 -6 x))

localize13.0ms (0.2%)

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)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite99.0ms (1.2%)

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))))))))

simplify63.0ms (0.8%)

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)))))

localize58.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 6 (-.f64 x 1))
0.0b
(+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))
✓0.1b
(/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
✓0.2b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
Compiler

Compiled 74 to 53 computations (28.4% saved)

series13.0ms (0.2%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
2.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
2.0ms
x
@-inf
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
2.0ms
x
@inf
(/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
2.0ms
x
@0
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))

rewrite125.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
537×fma-def_binary64
382×fma-neg_binary64
321×log1p-udef_binary64
320×expm1-udef_binary64
254×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01747
138743
2547741
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) (/.f64 (fma.f64 6 x -6) (fma.f64 x -14 1))) (*.f64 (*.f64 -4 (sqrt.f64 x)) (/.f64 (fma.f64 6 x -6) (fma.f64 x -14 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -4 (sqrt.f64 x)) (/.f64 (fma.f64 6 x -6) (fma.f64 x -14 1))) (*.f64 (+.f64 x 1) (/.f64 (fma.f64 6 x -6) (fma.f64 x -14 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -14 1)) (+.f64 x 1)) (*.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -14 1)) (*.f64 -4 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -14 1)) (*.f64 -4 (sqrt.f64 x))) (*.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 x -14 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1) (/.f64 (fma.f64 6 x -6) (fma.f64 x -14 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (+.f64 x -1) (/.f64 (fma.f64 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(/.f64 (fma.f64 x -14 1) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x -14 1) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x -14 1) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -14 1) (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1))) 1))))))

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11012
Stop Event
1×saturated
Counts
104 → 102
Calls
Call 1
Inputs
-6
(*.f64 -3/7 x)
(*.f64 -3/7 x)
1
-14
-14
Outputs
-6
(*.f64 -3/7 x)
(*.f64 -3/7 x)
1
-14
-14

eval831.0ms (10.5%)

Compiler

Compiled 9954 to 7568 computations (24% saved)

prune238.0ms (3%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New52310533
Fresh358
Picked011
Done336
Total52919548
Error
0b
Counts
548 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
17.9b
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (-.f64 x -1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
▶2.6b
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
✓29.4b
(+.f64 6 (/.f64 -12 x))
34.1b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1) (fma.f64 x -14 1))))
30.3b
(*.f64 (*.f64 -6 x) (/.f64 1 (-.f64 -1 x)))
33.8b
(-.f64 (*.f64 12 x) 6)
▶0.1b
(/.f64 6 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))
2.7b
(/.f64 1 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)))
29.7b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
35.1b
-6
▶29.3b
(+.f64 6 (/.f64 -6 x))
30.4b
6
▶35.5b
(*.f64 (fma.f64 x -6 6) (-.f64 x 1))
29.9b
(/.f64 (-.f64 (/.f64 144 (*.f64 x x)) 36) (-.f64 (/.f64 -12 x) 6))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
✓0.1b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
✓34.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
▶17.1b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x)))) 1)))
29.4b
(/.f64 (fma.f64 x 6 -6) x)
Compiler

Compiled 389 to 306 computations (21.3% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 47 to 30 computations (36.2% saved)

series4.0ms (0%)

Counts
2 → 6
Calls

6 calls:

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

rewrite80.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
552×log-prod_binary64
321×pow2_binary64
255×prod-diff_binary64
222×pow1/3_binary64
220×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
126735
2345835
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 6 (/.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 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (*.f64 -1 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) (*.f64 x (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) x) (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1) (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (*.f64 6 (+.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (*.f64 6 (+.f64 x -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 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(/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) -1 (*.f64 (/.f64 6 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))))) (#(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) (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) 2))))) (#(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) (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 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 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) (sqrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (*.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (/.f64 1 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 2) 1) (/.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)) 1) (/.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (cbrt.f64 (+.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) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.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)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (sqrt.f64 (+.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) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (fma.f64 x x -1)) (+.f64 x 1))))) (#(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 (pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 x -1))) 2)))) (#(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 (/.f64 (pow.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) 3) (pow.f64 (+.f64 x -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (fma.f64 4 (sqrt.f64 x) x) 1) (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (-.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))))))

simplify53.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
046
176
Stop Event
1×saturated
Counts
88 → 86
Calls
Call 1
Inputs
-6
6
6
-1
1
1
Outputs
-6
6
6
-1
1
1

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify24.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

localize43.0ms (0.5%)

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)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite127.0ms (1.6%)

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
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(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)))))

simplify94.0ms (1.2%)

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)

localize15.0ms (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 x 1))
Compiler

Compiled 20 to 15 computations (25% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 (fma.f64 x -6 6) (-.f64 x 1))
1.0ms
x
@0
(*.f64 (fma.f64 x -6 6) (-.f64 x 1))
1.0ms
x
@inf
(*.f64 (fma.f64 x -6 6) (-.f64 x 1))

rewrite88.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
761×pow1_binary64
712×add-log-exp_binary64
711×log1p-expm1-u_binary64
711×expm1-log1p-u_binary64
701×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116711
2193911
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (fma.f64 x -6 6) (-.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -6 6)) (*.f64 -1 (fma.f64 x -6 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -6) (+.f64 x -1)) (*.f64 6 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x -6 6) x) (*.f64 (fma.f64 x -6 6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1) (*.f64 x -6)) (*.f64 (+.f64 x -1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 x -6 6) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) (fma.f64 x -6 6)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (fma.f64 x -6 6)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x -6 6) (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x -6 6) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x -6 6) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x -6 6) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -6 6) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x -6 6) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x -6 6) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x -6 6)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -6 6) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -6 6) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (fma.f64 x -6 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x -6 6) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -6 6) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x -6 6) (+.f64 x -1))))))))

simplify86.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
615×distribute-rgt-neg-in_binary64
561×associate-*l*_binary64
560×distribute-lft-neg-in_binary64
538×fma-def_binary64
483×distribute-lft-out--_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012126
127114
251112
310290
425090
572090
6230490
7612590
Stop Event
1×node limit
Counts
33 → 30
Calls
Call 1
Inputs
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(*.f64 -6 (pow.f64 x 2))
(+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(*.f64 -6 (pow.f64 x 2))
(+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
Outputs
-6
(-.f64 (*.f64 12 x) 6)
(fma.f64 12 x -6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -6 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -6 (*.f64 x x) -6))
(fma.f64 -6 (*.f64 x x) (fma.f64 12 x -6))
(fma.f64 x (fma.f64 -6 x 12) -6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -6 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -6 (*.f64 x x) -6))
(fma.f64 -6 (*.f64 x x) (fma.f64 12 x -6))
(fma.f64 x (fma.f64 -6 x 12) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (*.f64 x x))
(*.f64 x (*.f64 -6 x))
(+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2)))
(fma.f64 12 x (*.f64 -6 (*.f64 x x)))
(fma.f64 -6 (*.f64 x x) (*.f64 12 x))
(*.f64 x (+.f64 12 (*.f64 -6 x)))
(*.f64 x (fma.f64 -6 x 12))
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -6 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -6 (*.f64 x x) -6))
(fma.f64 -6 (*.f64 x x) (fma.f64 12 x -6))
(fma.f64 x (fma.f64 -6 x 12) -6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -6 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -6 (*.f64 x x) -6))
(fma.f64 -6 (*.f64 x x) (fma.f64 12 x -6))
(fma.f64 x (fma.f64 -6 x 12) -6)
(*.f64 -6 (pow.f64 x 2))
(*.f64 -6 (*.f64 x x))
(*.f64 x (*.f64 -6 x))
(+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2)))
(fma.f64 12 x (*.f64 -6 (*.f64 x x)))
(fma.f64 -6 (*.f64 x x) (*.f64 12 x))
(*.f64 x (+.f64 12 (*.f64 -6 x)))
(*.f64 x (fma.f64 -6 x 12))
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -6 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -6 (*.f64 x x) -6))
(fma.f64 -6 (*.f64 x x) (fma.f64 12 x -6))
(fma.f64 x (fma.f64 -6 x 12) -6)
(-.f64 (+.f64 (*.f64 12 x) (*.f64 -6 (pow.f64 x 2))) 6)
(+.f64 (fma.f64 12 x (*.f64 -6 (*.f64 x x))) -6)
(fma.f64 12 x (fma.f64 -6 (*.f64 x x) -6))
(fma.f64 -6 (*.f64 x x) (fma.f64 12 x -6))
(fma.f64 x (fma.f64 -6 x 12) -6)

localize83.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 x 16) (*.f64 x x))
✓0.0b
(/.f64 (+.f64 x -1) (+.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x)))) 1))
✓0.2b
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x))))
✓16.5b
(/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x)))
Compiler

Compiled 126 to 82 computations (34.9% saved)

series25.0ms (0.3%)

Counts
4 → 18
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@0
(/.f64 (+.f64 x -1) (+.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x)))) 1))
4.0ms
x
@inf
(/.f64 (+.f64 x -1) (+.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x)))) 1))
3.0ms
x
@0
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x))))
3.0ms
x
@-inf
(/.f64 (+.f64 x -1) (+.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x)))) 1))
2.0ms
x
@-inf
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x))))

rewrite180.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
530×fma-neg_binary64
312×log-div_binary64
302×log1p-udef_binary64
300×expm1-udef_binary64
247×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01576
136140
2556340
Stop Event
1×node limit
Counts
4 → 267
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x))))
(/.f64 (+.f64 x -1) (+.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x)))) 1))
(-.f64 (*.f64 x 16) (*.f64 x x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 16 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 16 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 16 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 16 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 16 x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 16 x (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 16 x (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 16) 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 16) 1 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (pow.f64 (cbrt.f64 (*.f64 x 16)) 2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (pow.f64 (cbrt.f64 (*.f64 x 16)) 2) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (*.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (*.f64 4 (sqrt.f64 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 16)) (*.f64 (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (*.f64 4 (sqrt.f64 x))) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 16)) 2) (cbrt.f64 (*.f64 x 16)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 16)) 2) (cbrt.f64 (*.f64 x 16)) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 16 x))) (sqrt.f64 (*.f64 x (-.f64 16 x))) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x 16) 1/4) (*.f64 (pow.f64 (*.f64 x 16) 1/4) (*.f64 4 (sqrt.f64 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x 16) 1/4) (*.f64 (pow.f64 (*.f64 x 16) 1/4) (*.f64 4 (sqrt.f64 x))) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 16) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 16) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 4 (*.f64 4 (sqrt.f64 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 4 (*.f64 4 (sqrt.f64 x))) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (pow.f64 (*.f64 x 16) 1/4)) (pow.f64 (*.f64 x 16) 1/4) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (pow.f64 (*.f64 x 16) 1/4)) (pow.f64 (*.f64 x 16) 1/4) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 16 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 16 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 16 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 16 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (cbrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (cbrt.f64 (*.f64 x 16))) (cbrt.f64 (*.f64 4 (sqrt.f64 x))) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (sqrt.f64 x)) 4 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (sqrt.f64 x)) 4 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))))))

simplify81.0ms (1%)

Algorithm
1×egg-herbie
Rules
658×associate-/l/_binary64
636×fma-neg_binary64
541×unsub-neg_binary64
472×cancel-sign-sub-inv_binary64
450×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011127
122118
23991
39091
424691
578791
6173691
7348591
8679191
Stop Event
1×node limit
Counts
285 → 275
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
x
x
1
1
(*.f64 16 x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
Outputs
(/.f64 1 x)
(/.f64 1 x)
x
x
1
1
(*.f64 16 x)
(*.f64 x 16)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 16))
(-.f64 (*.f64 x 16) (*.f64 x x))
(*.f64 x (-.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 16))
(-.f64 (*.f64 x 16) (*.f64 x x))
(*.f64 x (-.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 16))
(-.f64 (*.f64 x 16) (*.f64 x x))
(*.f64 x (-.f64 16 x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 16))
(-.f64 (*.f64 x 16) (*.f64 x x))
(*.f64 x (-.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 16))
(-.f64 (*.f64 x 16) (*.f64 x x))
(*.f64 x (-.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 16))
(-.f64 (*.f64 x 16) (*.f64 x x))
(*.f64 x (-.f64 16 x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 16))
(-.f64 (*.f64 x 16) (*.f64 x x))
(*.f64 x (-.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 16))
(-.f64 (*.f64 x 16) (*.f64 x x))
(*.f64 x (-.f64 16 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 16 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 16))
(-.f64 (*.f64 x 16) (*.f64 x x))
(*.f64 x (-.f64 16 x))

eval942.0ms (11.9%)

Compiler

Compiled 13319 to 9715 computations (27.1% saved)

prune294.0ms (3.7%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New6424646
Fresh1910
Picked101
Done358
Total64718665
Error
0b
Counts
665 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
33.8b
(-.f64 (*.f64 12 x) 6)
✓29.4b
(+.f64 6 (/.f64 -12 x))
34.1b
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1) (fma.f64 x -14 1))))
30.3b
(*.f64 (*.f64 -6 x) (/.f64 1 (-.f64 -1 x)))
2.7b
(/.f64 1 (/.f64 (-.f64 -1 x) (fma.f64 x -6 6)))
29.7b
(/.f64 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
35.1b
-6
✓29.3b
(+.f64 6 (/.f64 -6 x))
30.4b
6
2.5b
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
29.9b
(/.f64 (-.f64 (/.f64 144 (*.f64 x x)) 36) (-.f64 (/.f64 -12 x) 6))
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
17.9b
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (-.f64 x -1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
35.5b
(*.f64 (+.f64 (*.f64 x -6) 6) (-.f64 x 1))
✓34.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
0.1b
(/.f64 6 (/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1)))
29.4b
(/.f64 (fma.f64 x 6 -6) x)
Compiler

Compiled 202 to 161 computations (20.3% saved)

regimes93.0ms (1.2%)

Counts
39 → 1
Calls
Call 1
Inputs
-6
6
-6
6
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 (-.f64 (*.f64 6 x) 6) x)
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (*.f64 x -6) 6) (-.f64 x 1))
(*.f64 (*.f64 -6 x) (/.f64 1 (-.f64 -1 x)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(/.f64 (-.f64 (/.f64 144 (*.f64 x x)) 36) (-.f64 (/.f64 -12 x) 6))
(/.f64 (fma.f64 x 6 -6) x)
(*.f64 (fma.f64 x -6 6) (-.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 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 6 (/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
(/.f64 (-.f64 (*.f64 6 x) 6) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (+.f64 (*.f64 -14 x) 1) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 x 16)) x) (-.f64 (*.f64 x 16) (*.f64 x x)))) 1)))
(/.f64 6 (/.f64 (+.f64 (fma.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 (/.f64 (*.f64 (fma.f64 x x -1) 6) (-.f64 x -1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 (*.f64 6 (-.f64 x 1)) (/.f64 (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16)) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x)))))
(/.f64 (fma.f64 x -6 6) (-.f64 -1 (fma.f64 4 (sqrt.f64 x) x)))
(*.f64 (+.f64 x -1) (*.f64 6 (/.f64 (+.f64 (fma.f64 -4 (sqrt.f64 x) x) 1) (fma.f64 x -14 1))))
(*.f64 (fma.f64 -4 (sqrt.f64 x) (+.f64 x 1)) (/.f64 (+.f64 (*.f64 6 x) -6) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x -16))))
(*.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (-.f64 x -1) 2) (*.f64 x 16))) (+.f64 (-.f64 x -1) (*.f64 -4 (sqrt.f64 x))))
Outputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1)))
Calls

3 calls:

38.0ms
x
18.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
12.0ms
(/.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 444 to 330 computations (25.7% saved)

regimes42.0ms (0.5%)

Counts
26 → 1
Calls
Call 1
Inputs
-6
6
-6
6
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 (-.f64 (*.f64 6 x) 6) x)
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (*.f64 x -6) 6) (-.f64 x 1))
(*.f64 (*.f64 -6 x) (/.f64 1 (-.f64 -1 x)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(/.f64 (-.f64 (/.f64 144 (*.f64 x x)) 36) (-.f64 (/.f64 -12 x) 6))
(/.f64 (fma.f64 x 6 -6) x)
(*.f64 (fma.f64 x -6 6) (-.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 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(/.f64 6 (/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1)))
Outputs
(/.f64 6 (/.f64 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1)))
Calls

1 calls:

26.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes38.0ms (0.5%)

Counts
25 → 1
Calls
Call 1
Inputs
-6
6
-6
6
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 (-.f64 (*.f64 6 x) 6) x)
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (*.f64 x -6) 6) (-.f64 x 1))
(*.f64 (*.f64 -6 x) (/.f64 1 (-.f64 -1 x)))
(/.f64 (+.f64 (*.f64 x -6) 6) (-.f64 -1 x))
(/.f64 (-.f64 (/.f64 144 (*.f64 x x)) 36) (-.f64 (/.f64 -12 x) 6))
(/.f64 (fma.f64 x 6 -6) x)
(*.f64 (fma.f64 x -6 6) (-.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 (*.f64 6 x) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Outputs
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
Calls

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
2.5b1x
Compiler

Compiled 169 to 130 computations (23.1% saved)

regimes36.0ms (0.5%)

Counts
13 → 2
Calls
Call 1
Inputs
-6
6
-6
6
-6
(-.f64 (*.f64 12 x) 6)
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -6 x))
(-.f64 (*.f64 12 x) 6)
(+.f64 6 (/.f64 -12 x))
(/.f64 (-.f64 (*.f64 6 x) 6) x)
(/.f64 (*.f64 6 (-.f64 x 1)) x)
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
Outputs
(/.f64 (*.f64 6 (-.f64 x 1)) 1)
(+.f64 6 (/.f64 -12 x))
Calls

1 calls:

30.0ms
x
Results
ErrorSegmentsBranch
2.5b2x
Compiler

Compiled 54 to 43 computations (20.4% saved)

bsearch66.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
65.0ms
1.521228129001963
9.439768609854424
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes139.0ms (1.8%)

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

1 calls:

132.0ms
x
Results
ErrorSegmentsBranch
2.5b2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch39.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
38.0ms
1.9528963858121105e-8
1.521228129001963
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes24.0ms (0.3%)

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

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
2.5b2x
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch96.0ms (1.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
96.0ms
1.9528963858121105e-8
1.521228129001963
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes24.0ms (0.3%)

Accuracy

Total -60.5b remaining (-2411.8%)

Threshold costs -60.5b (-2411.8%)

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

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
2.5b2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch73.0ms (0.9%)

Algorithm
1×binary-search
Steps
TimeLeftRight
73.0ms
1.9528963858121105e-8
1.521228129001963
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
4×*-commutative_binary64
2×sub-neg_binary64
1×/-rgt-identity_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039118
156118
257118
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 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1)))
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(if (<=.f64 x 6851002434918757/4503599627370496) (/.f64 (*.f64 6 (-.f64 x 1)) 1) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 2951133579800441/151115727451828646838272) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 2951133579800441/151115727451828646838272) (-.f64 (*.f64 12 x) 6) 6)
(if (<=.f64 x 2951133579800441/151115727451828646838272) -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 (+.f64 (+.f64 (*.f64 4 (sqrt.f64 x)) x) 1) (+.f64 x -1)))
(/.f64 6 (/.f64 (+.f64 (+.f64 x (*.f64 4 (sqrt.f64 x))) 1) (+.f64 x -1)))
(/.f64 6 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(if (<=.f64 x 6851002434918757/4503599627370496) (/.f64 (*.f64 6 (-.f64 x 1)) 1) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 6851002434918757/4503599627370496) (*.f64 6 (+.f64 x -1)) (+.f64 6 (/.f64 -12 x)))
(if (<=.f64 x 2951133579800441/151115727451828646838272) (-.f64 (*.f64 12 x) 6) (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 2951133579800441/151115727451828646838272) (+.f64 (*.f64 x 12) -6) (+.f64 6 (/.f64 -6 x)))
(if (<=.f64 x 2951133579800441/151115727451828646838272) (-.f64 (*.f64 12 x) 6) 6)
(if (<=.f64 x 2951133579800441/151115727451828646838272) (+.f64 (*.f64 x 12) -6) 6)
(if (<=.f64 x 2951133579800441/151115727451828646838272) -6 6)
-6
Compiler

Compiled 90 to 73 computations (18.9% saved)

soundness0.0ms (0%)

end135.0ms (1.7%)

Compiler

Compiled 83 to 65 computations (21.7% saved)

Profiling

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