Details

Time bar (total: 2.2s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.8%0.4%49.8%10
49.9%0.2%49.9%11
49.9%0.1%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample923.0ms (42.7%)

Results
909.0ms8256×body128valid
0.0ms2×body128invalid
Compiler

Compiled 32 to 26 computations (18.8% saved)

preprocess38.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
688×times-frac_binary64
636×fma-def_binary64
499×fma-neg_binary64
324×div-sub_binary64
319×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 12 computations (20% saved)

simplify32.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
688×times-frac_binary64
636×fma-def_binary64
499×fma-neg_binary64
324×div-sub_binary64
319×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

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

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 57 to 44 computations (22.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.3%)

Counts
3 → 18
Calls

9 calls:

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

rewrite64.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
451×fma-def_binary64
270×fma-neg_binary64
226×expm1-udef_binary64
226×log1p-udef_binary64
134×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01240
127236
2378432
Stop Event
1×node limit
Counts
3 → 140
Calls
Call 1
Inputs
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
(*.f64 6 (-.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (*.f64 6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 x -6) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (cbrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (*.f64 (cbrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 x -6)) (*.f64 (sqrt.f64 (fma.f64 6 x -6)) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x -1) -6) (/.f64 1 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (fma.f64 6 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) 1) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 6 x -6)) 1) (/.f64 (sqrt.f64 (fma.f64 6 x -6)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 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(sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 6 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (fma.f64 6 x -6) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 x -6)) 2) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (/.f64 (cbrt.f64 (fma.f64 6 x -6)) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 x 16) (*.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 6 x -6) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x))))) (/.f64 (*.f64 x 16) (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 64 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(*.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16)) (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 x 16) (*.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))) (neg.f64 (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3)) (fma.f64 x x (-.f64 (*.f64 (fma.f64 4 (sqrt.f64 x) 1) (fma.f64 4 (sqrt.f64 x) 1)) (*.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) (fma.f64 4 (sqrt.f64 x) 1))) (-.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 16) (pow.f64 (+.f64 x 1) 2)) (-.f64 (*.f64 4 (sqrt.f64 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1))) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)) (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (*.f64 (fma.f64 4 (sqrt.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 x 1/4)) (pow.f64 x 1/4) (+.f64 x 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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) 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 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 log1p.f64 (expm1.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 -6)))))

simplify12.0ms (0.6%)

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
158 → 146
Calls
Call 1
Inputs
-6
6
6
1
x
x
-6
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
(-.f64 (*.f64 6 x) 6)
Outputs
-6
6
6
1
x
x
-6
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(*.f64 6 x)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)
(-.f64 (*.f64 6 x) 6)
(fma.f64 6 x -6)

prune161.0ms (7.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1415146
Fresh000
Picked101
Done000
Total1425147
Error
0b
Counts
147 → 5
Alt Table
StatusErrorProgram
17.1b
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (+.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.3b
(/.f64 (*.f64 6 (-.f64 x 1)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 4 (sqrt.f64 x) 1)))
0.7b
(*.f64 (/.f64 6 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))
▶0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
0.3b
(pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) -1)
Compiler

Compiled 2971 to 2143 computations (27.9% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series5.0ms (0.2%)

Counts
4 → 10
Calls

12 calls:

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

rewrite67.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
642×prod-diff_binary64
220×log1p-udef_binary64
126×add-sqr-sqrt_binary64
120×add-cbrt-cube_binary64
119×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
125952
2335452
Stop Event
1×node limit
Counts
4 → 115
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
(fma.f64 4 (sqrt.f64 x) 1)
(+.f64 x (fma.f64 4 (sqrt.f64 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x 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simplify10.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1810
Stop Event
1×saturated
Counts
125 → 120
Calls
Call 1
Inputs
-1
1
1
-6
6
6
1
1
x
x
Outputs
-1
1
1
-6
6
6
1
1
x
x

prune109.0ms (5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh224
Picked011
Done000
Total1214125
Error
0b
Counts
125 → 4
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
0.3b
(pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) -1)
▶0.1b
(*.f64 6 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3))
17.1b
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (+.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 2364 to 1722 computations (27.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 6 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3))
✓0.0b
(cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
0.1b
(/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
✓0.1b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)

series27.0ms (1.3%)

Counts
3 → 9
Calls

9 calls:

TimeVariablePointExpression
9.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)
8.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)
5.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)
1.0ms
x
@0
(cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
1.0ms
x
@-inf
(cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))

rewrite71.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
642×prod-diff_binary64
144×add-sqr-sqrt_binary64
138×add-cbrt-cube_binary64
137×add-log-exp_binary64
137×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
132553
2377653
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)
(cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
(*.f64 6 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3))
Outputs
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1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1/6) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (neg.f64 x))) (cbrt.f64 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 x -1))) (neg.f64 (cbrt.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.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 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (neg.f64 x)) 6) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 x -1)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (+.f64 1 (neg.f64 x))) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6)))))))

simplify58.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
700×sqr-pow_binary64
530×unswap-sqr_binary64
301×cube-prod_binary64
286×fabs-mul_binary64
257×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
11916
23216
34716
47616
518016
667416
7169716
8187016
9207016
10230116
11261616
12305016
13358316
14420816
15496716
Stop Event
1×node limit
Counts
112 → 110
Calls
Call 1
Inputs
-1
1
(pow.f64 (cbrt.f64 -1) 6)
(cbrt.f64 -1)
1
(pow.f64 (cbrt.f64 -1) 2)
-6
6
6
Outputs
-1
1
(pow.f64 (cbrt.f64 -1) 6)
1
(cbrt.f64 -1)
1
(pow.f64 (cbrt.f64 -1) 2)
-6
6
6

prune138.0ms (6.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1470147
Fresh022
Picked011
Done011
Total1474151
Error
0b
Counts
151 → 4
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
▶0.3b
(pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) -1)
✓0.1b
(*.f64 6 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3))
17.1b
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (+.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 3145 to 2380 computations (24.3% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.4%)

Counts
3 → 18
Calls

9 calls:

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

rewrite54.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
570×prod-diff_binary64
219×expm1-udef_binary64
219×log1p-udef_binary64
131×add-sqr-sqrt_binary64
124×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01342
127539
2331739
Stop Event
1×node limit
Counts
3 → 101
Calls
Call 1
Inputs
(/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6))
(fma.f64 6 x -6)
(pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (/.f64 1 (fma.f64 6 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) 2)) (cbrt.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2)) 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x -6)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 6 x -6) 3) (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 6 x -6)) (log.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 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simplify10.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0860
11260
21460
Stop Event
1×saturated
Counts
119 → 108
Calls
Call 1
Inputs
-1/6
1/6
1/6
-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)
-6
6
6
Outputs
-1/6
1/6
1/6
-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)
-6
6
6

prune104.0ms (4.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done022
Total1314135
Error
0b
Counts
135 → 4
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
✓0.3b
(pow.f64 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 6 x -6)) -1)
✓0.1b
(*.f64 6 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3))
17.1b
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) 6) (+.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
Compiler

Compiled 2606 to 1949 computations (25.2% saved)

regimes137.0ms (6.3%)

Accuracy

Total 0.0b remaining (67.4%)

Threshold costs 0.0b (67.4%)

Counts
116 → 1
Compiler

Compiled 1752 to 1287 computations (26.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
11619
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 6 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))
Outputs
(/.f64 6 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))

end83.0ms (3.9%)

Stop Event
1×fuel
Compiler

Compiled 94 to 74 computations (21.3% saved)

Profiling

Loading profile data...