Details

Time bar (total: 935.0ms)

analyze3.0ms (0.4%)

Algorithm
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
50%50%50%0%0%0%0%3
57.1%50%37.5%0%12.5%0%0%4
76.9%62.5%18.7%0%18.7%0%0%5
88%68.7%9.4%0%21.9%0%0%6
93.9%71.8%4.7%0%23.4%0%0%7
96.9%73.4%2.3%0%24.2%0%0%8
98.4%74.2%1.2%0%24.6%0%0%9
99.2%74.6%0.6%0%24.8%0%0%10
99.6%74.8%0.3%0%24.9%0%0%11
99.8%74.9%0.1%0%24.9%0%0%12
Compiler

Compiled 7 to 4 computations (42.9% saved)

sample560.0ms (59.9%)

Results
548.0ms8256×body256valid
0.0msbody256infinite
Bogosity

preprocess15.0ms (1.6%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
associate-*l*_binary64
distribute-lft-in_binary64
distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
185
2135
3195
4235
5335
6355
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 x (*.f64 x x))
Outputs
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify8.0ms (0.8%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
associate-*l*_binary64
distribute-lft-in_binary64
distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047
185
2135
3195
4235
5335
6355
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 x x))
Outputs
(+.f64 x (*.f64 x x))
(fma.f64 x x x)

eval0.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x x x)
0.0b
(+.f64 x (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (*.f64 x x))
Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 x (*.f64 x x))
0.0ms
x
@0
(+.f64 x (*.f64 x x))
0.0ms
x
@-inf
(+.f64 x (*.f64 x x))

rewrite37.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
502×pow1_binary64
488×add-sqr-sqrt_binary64
474×add-log-exp_binary64
473×log1p-expm1-u_binary64
473×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047
1925
213865
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(+.f64 x (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))))

simplify42.0ms (4.5%)

Algorithm
egg-herbie
Rules
774×fma-neg_binary64
563×log-prod_binary64
497×associate-*l*_binary64
437×associate-*r*_binary64
418×div-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089374
1211359
2683359
34597359
Stop Event
node limit
Counts
50 → 45
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x))))
(*.f64 x (+.f64 x 1))
(*.f64 (fma.f64 x x x) 1)
(*.f64 1 (fma.f64 x x x))
(*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x))))
(*.f64 (+.f64 x 1) x)
(*.f64 (*.f64 (+.f64 x 1) 1) x)
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(pow.f64 (fma.f64 x x x) 1)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(log.f64 (exp.f64 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (log.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 1 x (*.f64 x x))
(fma.f64 1 (*.f64 x x) x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(-.f64 (+.f64 1 (fma.f64 x x x)) 1)
(fma.f64 x x x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(*.f64 x (+.f64 x 1))
(fma.f64 x x x)
(*.f64 (fma.f64 x x x) 1)
(fma.f64 x x x)
(*.f64 1 (fma.f64 x x x))
(fma.f64 x x x)
(*.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))
(fma.f64 x x x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(*.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 x x x)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(*.f64 (+.f64 x 1) x)
(fma.f64 x x x)
(*.f64 (*.f64 (+.f64 x 1) 1) x)
(fma.f64 x x x)
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(fma.f64 x x x)
(*.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 x x x)
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (-.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 x 4))))
(fma.f64 x x x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))
(fma.f64 x x x)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))
(fma.f64 x x x)
(pow.f64 (fma.f64 x x x) 1)
(fma.f64 x x x)
(pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)
(fma.f64 x x x)
(pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)
(fma.f64 x x x)
(sqrt.f64 (pow.f64 (fma.f64 x x x) 2))
(fma.f64 x x x)
(log.f64 (exp.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (fma.f64 x x x) 3))
(fma.f64 x x x)
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(exp.f64 (log.f64 (fma.f64 x x x)))
(fma.f64 x x x)
(fma.f64 x x x)
(fma.f64 1 x (*.f64 x x))
(fma.f64 x x x)
(fma.f64 1 (*.f64 x x) x)
(fma.f64 x x x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 x x x)

localize3.0ms (0.3%)

Compiler

Compiled 6 to 2 computations (66.7% saved)

eval9.0ms (0.9%)

Compiler

Compiled 447 to 210 computations (53% saved)

prune6.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh000
Picked101
Done011
Total43447
Error
0b
Counts
47 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 x x))
0.0b
(*.f64 (+.f64 x 1) x)
38.7b
(*.f64 x x)
23.6b
x
Compiler

Compiled 18 to 10 computations (44.4% saved)

localize2.0ms (0.2%)

Compiler

Compiled 5 to 2 computations (60% saved)

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 1) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite35.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
502×pow1_binary64
487×add-sqr-sqrt_binary64
468×log1p-expm1-u_binary64
468×expm1-log1p-u_binary64
467×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11037
213037
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))))))

simplify37.0ms (4%)

Algorithm
egg-herbie
Rules
676×fma-def_binary64
516×times-frac_binary64
433×distribute-rgt-out_binary64
369×fma-neg_binary64
352×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050174
1122166
2346166
31978166
44600166
Stop Event
node limit
Counts
29 → 26
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(-.f64 (+.f64 1 (+.f64 x (*.f64 x x))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(pow.f64 (+.f64 x (*.f64 x x)) 1)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x x))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (*.f64 x x) x)
(fma.f64 x x x)
(-.f64 (+.f64 1 (+.f64 x (*.f64 x x))) 1)
(fma.f64 x x x)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))
(/.f64 x (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 x (pow.f64 x 4)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(fma.f64 x x x)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 x (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 x (pow.f64 x 4)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(fma.f64 x x x)
(pow.f64 (+.f64 x (*.f64 x x)) 1)
(fma.f64 x x x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) 1/3)
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 3)
(fma.f64 x x x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 2)
(fma.f64 x x x)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))
(fma.f64 x x x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3))
(fma.f64 x x x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x x))))
(fma.f64 x x x)
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x x))))
(fma.f64 x x x)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 x)))

eval4.0ms (0.5%)

Compiler

Compiled 202 to 100 computations (50.5% saved)

prune4.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New26026
Fresh011
Picked011
Done022
Total26430
Error
0b
Counts
30 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 x x))
0.0b
(*.f64 (+.f64 x 1) x)
38.7b
(*.f64 x x)
23.6b
x
Compiler

Compiled 18 to 10 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 x x))
0.0b
(*.f64 (+.f64 x 1) x)
38.7b
(*.f64 x x)
23.6b
x
Compiler

Compiled 18 to 10 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 x x))
0.0b
(*.f64 (+.f64 x 1) x)
38.7b
(*.f64 x x)
23.6b
x
Compiler

Compiled 18 to 10 computations (44.4% saved)

regimes31.0ms (3.3%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (+.f64 x 1) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
Outputs
(fma.f64 x x x)
Calls

2 calls:

26.0ms
(+.f64 x (*.f64 x x))
4.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1(+.f64 x (*.f64 x x))
Compiler

Compiled 27 to 11 computations (59.3% saved)

regimes9.0ms (1%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (+.f64 x 1) x)
(+.f64 x (*.f64 x x))
Outputs
(+.f64 x (*.f64 x x))
Calls

2 calls:

4.0ms
(+.f64 x (*.f64 x x))
4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(+.f64 x (*.f64 x x))
Compiler

Compiled 23 to 10 computations (56.5% saved)

regimes5.0ms (0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (+.f64 x 1) x)
Outputs
(*.f64 (+.f64 x 1) x)
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
Compiler

Compiled 12 to 6 computations (50% saved)

regimes9.0ms (1%)

Accuracy

Total -59.1b remaining (-3744%)

Threshold costs -59.1b (-3744%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 x x)
Outputs
(*.f64 x x)
x
(*.f64 x x)
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
Compiler

Compiled 7 to 3 computations (57.1% saved)

bsearch38.0ms (4%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
7.200483344911448e-6
6385.974964050891
13.0ms
-2100.184659194215
-1.2644350467812824e-6
Results
35.0ms288×body256valid
Compiler

Compiled 154 to 96 computations (37.7% saved)

simplify3.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01441
11941
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x x x)
(+.f64 x (*.f64 x x))
(*.f64 (+.f64 x 1) x)
(if (<=.f64 x -1) (*.f64 x x) (if (<=.f64 x 1) x (*.f64 x x)))
x
Outputs
(fma.f64 x x x)
(+.f64 x (*.f64 x x))
(*.f64 (+.f64 x 1) x)
(*.f64 x (+.f64 x 1))
(if (<=.f64 x -1) (*.f64 x x) (if (<=.f64 x 1) x (*.f64 x x)))
x
Compiler

Compiled 35 to 18 computations (48.6% saved)

soundness8.0ms (0.9%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
associate-*l*_binary64
distribute-lft-in_binary64
distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047
185
2135
3195
4235
5335
6355
Stop Event
saturated
Compiler

Compiled 17 to 8 computations (52.9% saved)

end48.0ms (5.1%)

Compiler

Compiled 31 to 13 computations (58.1% saved)

Profiling

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