Details

Time bar (total: 2.1s)

analyze4.0ms (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 (44%)

Results
910.0ms8256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 32 to 26 computations (18.8% saved)

preprocess41.0ms (2%)

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

3 alts after pruning (3 fresh and 0 done)

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

Compiled 83 to 64 computations (22.9% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series17.0ms (0.8%)

Counts
3 → 18
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@0
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@-inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
1.0ms
x
@inf
(*.f64 6 (-.f64 x 1))
1.0ms
x
@0
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

rewrite66.0ms (3.1%)

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 6 (-.f64 x 1))
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
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 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((#(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 fma.f64 6 x -6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 -6)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 6 x -6)))))))
((#(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 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.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 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 x 16) (*.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))) (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (-.f64 1 (*.f64 4 (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (fma.f64 64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x 16 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x 16)) (+.f64 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 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 expm1.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))

simplify9.0ms (0.4%)

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
-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

prune143.0ms (6.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1415146
Fresh011
Picked101
Done000
Total1426148
Error
0b
Counts
148 → 6
Alt Table
StatusErrorProgram
33.0b
(exp.f64 (log.f64 (/.f64 (fma.f64 6 x -6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))
▶0.1b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))
0.1b
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
0.1b
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
2.9b
(/.f64 (*.f64 6 (-.f64 x 1)) (-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1))
17.1b
(*.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)))))
Compiler

Compiled 2987 to 2165 computations (27.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.5%)

Counts
4 → 12
Calls

12 calls:

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

rewrite76.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
651×prod-diff_binary64
138×add-sqr-sqrt_binary64
131×*-un-lft-identity_binary64
131×add-cbrt-cube_binary64
131×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01364
128661
2372461
Stop Event
1×node limit
Counts
4 → 135
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1)))
(/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))
(+.f64 x (fma.f64 4 (sqrt.f64 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 -1 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 x (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) x) (*.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) -1) (*.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) x))))) (#(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 1 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (+.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 (*.f64 x x) (-.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2) (-.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 4 (sqrt.f64 x) 1) (-.f64 (fma.f64 4 (sqrt.f64 x) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2)) (/.f64 1 (-.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 4 (sqrt.f64 x) 1) (-.f64 (fma.f64 4 (sqrt.f64 x) 1) x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2))))))) (#(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 (fma.f64 4 (sqrt.f64 x) 1) (-.f64 (fma.f64 4 (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3)) (+.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2) (-.f64 (*.f64 x x) (*.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2)) (-.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 4 (sqrt.f64 x) 1) (-.f64 (fma.f64 4 (sqrt.f64 x) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2))) (neg.f64 (-.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2) (*.f64 x x)) (-.f64 (fma.f64 4 (sqrt.f64 x) 1) x))))) (#(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 fma.f64 1 x (fma.f64 4 (sqrt.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 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 4 (sqrt.f64 x) 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 (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 (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 expm1.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))

simplify8.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
1812
Stop Event
1×saturated
Counts
147 → 140
Calls
Call 1
Inputs
-1
1
1
-1
1
1
-6
6
6
1
x
x
Outputs
-1
1
1
-1
1
1
-6
6
6
1
x
x

prune151.0ms (7.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh145
Picked011
Done000
Total1406146
Error
0b
Counts
146 → 6
Alt Table
StatusErrorProgram
✓0.1b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))
▶0.1b
(*.f64 6 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))
0.1b
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
0.1b
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
2.9b
(/.f64 (*.f64 6 (-.f64 x 1)) (-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1))
17.1b
(*.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)))))
Compiler

Compiled 3098 to 2311 computations (25.4% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 6 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))
✓0.1b
(log1p.f64 (expm1.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)))
✓0.4b
(expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))

series9.0ms (0.4%)

Counts
4 → 12
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
2.0ms
x
@inf
(expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
1.0ms
x
@-inf
(expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
0.0ms
x
@inf
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))
0.0ms
x
@-inf
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))

rewrite71.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
677×prod-diff_binary64
233×log1p-udef_binary64
133×add-sqr-sqrt_binary64
128×expm1-log1p-u_binary64
127×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01469
127969
2349869
Stop Event
1×node limit
Counts
4 → 122
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
(/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))
(*.f64 6 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.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 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (pow.f64 (cbrt.f64 (expm1.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 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1) (+.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.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 (expm1.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 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.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 (expm1.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 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))))
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simplify13.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×sub-neg_binary64
2×expm1-def_binary64
1×1-exp_binary64
1×e-exp-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
11618
21918
Stop Event
1×saturated
Counts
134 → 97
Calls
Call 1
Inputs
(-.f64 (exp.f64 -1) 1)
(-.f64 (E.f64) 1)
(-.f64 (E.f64) 1)
-1
1
1
-1
1
1
-6
6
6
Outputs
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
-1
1
1
-1
1
1
-6
6
6

prune100.0ms (4.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh044
Picked011
Done011
Total976103
Error
0b
Counts
103 → 6
Alt Table
StatusErrorProgram
✓0.1b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))
✓0.1b
(*.f64 6 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))
▶0.1b
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
0.1b
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
2.9b
(/.f64 (*.f64 6 (-.f64 x 1)) (-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1))
17.1b
(*.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)))))
Compiler

Compiled 2039 to 1550 computations (24% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.3%)

Counts
3 → 7
Calls

9 calls:

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

rewrite63.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
822×prod-diff_binary64
130×add-sqr-sqrt_binary64
124×add-cbrt-cube_binary64
123×add-exp-log_binary64
123×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
126639
2353439
Stop Event
1×node limit
Counts
3 → 95
Calls
Call 1
Inputs
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
(/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))
(fma.f64 4 (sqrt.f64 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 6) (+.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 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1) (*.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) 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 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 -6 (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -6 (*.f64 x 6)) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -6 (*.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 -1 (pow.f64 x 3))) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (+.f64 -1 (pow.f64 x 3))) (*.f64 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (fma.f64 x x -1)) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -6 (fma.f64 x x -1)) (*.f64 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 6) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 6) (*.f64 (+.f64 x 1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x 1) (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) -6) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -6) (*.f64 (+.f64 x 1) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) (pow.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3)) (+.f64 (*.f64 (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (-.f64 (*.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 (/.f64 (*.f64 x 6) (+.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 (-.f64 (*.f64 (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 (*.f64 x 6) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (*.f64 (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) (-.f64 (/.f64 (*.f64 x 6) (+.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 (/.f64 (+.f64 -6 (*.f64 x 6)) 1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -6 (*.f64 x 6)) (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 (/.f64 (+.f64 -6 (*.f64 x 6)) (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 (*.f64 -6 (+.f64 x -1)) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) -6) (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 6 (/.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 (+.f64 x -1)) (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6 (/.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 6 (/.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 (*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 6 (+.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 fma.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) x (/.f64 -6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6 (/.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 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (cbrt.f64 (/.f64 36 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 36 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2))) (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (neg.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3))) (fma.f64 x x (*.f64 (fma.f64 4 (sqrt.f64 x) 1) (-.f64 (fma.f64 4 (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2))) (-.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 4 (sqrt.f64 x)) 3) 1) (+.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) (-.f64 1 (*.f64 (*.f64 4 (sqrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x))) 1) (-.f64 (*.f64 4 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (sqrt.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (sqrt.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (sqrt.f64 x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (sqrt.f64 x) 1)))))))

simplify12.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
1813
Stop Event
1×saturated
Counts
102 → 99
Calls
Call 1
Inputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)
1
Outputs
-6
6
6
6
(/.f64 6 x)
(/.f64 6 x)
1

prune130.0ms (6.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh033
Picked011
Done022
Total1356141
Error
0b
Counts
141 → 6
Alt Table
StatusErrorProgram
✓0.1b
(*.f64 6 (/.f64 1 (/.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)) (+.f64 x -1))))
✓0.1b
(*.f64 6 (log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))))
✓0.1b
(*.f64 (/.f64 6 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))) (+.f64 x -1))
0.1b
(/.f64 (fma.f64 6 x -6) (fma.f64 4 (sqrt.f64 x) (-.f64 x -1)))
2.9b
(/.f64 (*.f64 6 (-.f64 x 1)) (-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 4 (sqrt.f64 x) 1)))) 1))
17.1b
(*.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)))))
Compiler

Compiled 2739 to 1969 computations (28.1% saved)

regimes64.0ms (3%)

Accuracy

Total 0.0b remaining (83.2%)

Threshold costs 0.0b (83.2%)

Counts
49 → 1
Compiler

Compiled 745 to 562 computations (24.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
11719
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))
Outputs
(*.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (fma.f64 4 (sqrt.f64 x) 1))))

end110.0ms (5.3%)

Stop Event
1×fuel
Compiler

Compiled 129 to 103 computations (20.2% saved)

Profiling

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