Details

Time bar (total: 4.3s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample3.4s (78.8%)

Results
2.2s6176×body256valid
744.0ms1003×body1024valid
420.0ms1050×body512valid
43.0ms27×body2048valid
Bogosity

preprocess48.0ms (1.1%)

Algorithm
egg-herbie
Rules
498×associate-*l*_binary64
451×distribute-rgt-neg-in_binary64
426×distribute-lft-neg-in_binary64
409×associate-*r*_binary64
366×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
13226
27626
327026
4117320
5450920
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps))
(*.f64 x (+.f64 x (+.f64 eps eps)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify34.0ms (0.8%)

Algorithm
egg-herbie
Rules
563×distribute-rgt-in_binary64
513×cancel-sign-sub-inv_binary64
510×fma-neg_binary64
463×distribute-lft-in_binary64
412×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813
11913
24913
316113
46368
528288
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(fma.f64 x (neg.f64 x) (pow.f64 (+.f64 x eps) 2))
(*.f64 eps (fma.f64 2 x eps))

eval1.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

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
0.0b
(*.f64 eps (fma.f64 2 x eps))
16.7b
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Compiler

Compiled 19 to 13 computations (31.6% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 eps (fma.f64 2 x eps))
Compiler

Compiled 15 to 8 computations (46.7% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 eps (fma.f64 2 x eps))
1.0ms
eps
@-inf
(*.f64 eps (fma.f64 2 x eps))
1.0ms
eps
@inf
(*.f64 eps (fma.f64 2 x eps))
1.0ms
x
@0
(*.f64 eps (fma.f64 2 x eps))
1.0ms
x
@inf
(*.f64 eps (fma.f64 2 x eps))

rewrite44.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
552×pow1_binary64
531×add-sqr-sqrt_binary64
507×add-log-exp_binary64
507×log1p-expm1-u_binary64
507×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11208
213648
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 2 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))))))

simplify176.0ms (4.1%)

Algorithm
egg-herbie
Rules
778×sqr-pow_binary64
582×fma-def_binary64
555×cube-prod_binary64
536×fabs-mul_binary64
471×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
08267
118231
237213
375177
4166177
5467177
61590177
72841177
83196177
93418177
103640177
113957177
124377177
134892177
145466177
156166177
167020177
177411177
187705177
197979177
Stop Event
node limit
Counts
37 → 18
Calls
Call 1
Inputs
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
Outputs
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 2 (*.f64 eps x)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 x eps) 2)
2.1b
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Compiler

Compiled 25 to 13 computations (48% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
1.0ms
x
@0
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
1.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
1.0ms
eps
@0
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
0.0ms
eps
@-inf
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

rewrite65.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
963×pow1_binary64
899×add-log-exp_binary64
898×log1p-expm1-u_binary64
898×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118620
2253320
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(pow.f64 (+.f64 x eps) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) (pow.f64 (+.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (+.f64 x eps) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x eps) x) (-.f64 (+.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (+.f64 x eps) x) 2))) (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (+.f64 x eps) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (+.f64 x eps) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 x eps) 4) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 x eps) 2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (*.f64 x (neg.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x eps) x) (*.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x eps)) (*.f64 eps (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 x eps)) (*.f64 x (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x eps) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (pow.f64 (+.f64 x eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (*.f64 (cbrt.f64 (+.f64 x eps)) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 4)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x eps)) (*.f64 (sqrt.f64 (+.f64 x eps)) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2)) (cbrt.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (*.f64 (-.f64 x eps) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (-.f64 (*.f64 x x) (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (+.f64 x eps)) (fma.f64 x x (*.f64 eps (-.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x eps) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x eps) (-.f64 (*.f64 x x) (*.f64 eps eps))) (-.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 x eps))))))))

simplify191.0ms (4.4%)

Algorithm
egg-herbie
Rules
947×sqr-pow_binary64
620×fma-def_binary64
551×fabs-mul_binary64
539×cube-prod_binary64
380×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
011567
128486
265435
3158393
4425393
51568393
62850393
73122393
83308393
93552393
103853393
114244393
124751393
135331393
146077393
156625393
166955393
177285393
187373393
197401393
Stop Event
node limit
Counts
113 → 77
Calls
Call 1
Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 (*.f64 2 x) eps)
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 (*.f64 2 x) eps)
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 (*.f64 2 x) eps)
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))
(fma.f64 2 (*.f64 eps x) (*.f64 x x))
(*.f64 x (+.f64 (*.f64 eps 2) x))
(*.f64 x (fma.f64 eps 2 x))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))
(fma.f64 2 (*.f64 eps x) (*.f64 x x))
(*.f64 x (+.f64 (*.f64 eps 2) x))
(*.f64 x (fma.f64 eps 2 x))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))
(fma.f64 2 (*.f64 eps x) (*.f64 x x))
(*.f64 x (+.f64 (*.f64 eps 2) x))
(*.f64 x (fma.f64 eps 2 x))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 eps eps) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (*.f64 2 x) eps))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 eps x) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (+.f64 (*.f64 eps 2) x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))

eval28.0ms (0.6%)

Compiler

Compiled 1363 to 639 computations (53.1% saved)

prune13.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New92395
Fresh000
Picked101
Done101
Total94397
Error
0b
Counts
97 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
22.6b
(*.f64 eps (*.f64 2 x))
0b
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
17.0b
(*.f64 eps eps)
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 3 computations (50% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize12.0ms (0.3%)

Compiler

Compiled 25 to 13 computations (48% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
22.6b
(*.f64 eps (*.f64 2 x))
0b
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
17.0b
(*.f64 eps eps)
Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes13.0ms (0.3%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 eps eps)
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Outputs
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
Calls

3 calls:

5.0ms
x
4.0ms
eps
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Results
ErrorSegmentsBranch
0b1x
0b1eps
0b1(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Compiler

Compiled 51 to 31 computations (39.2% saved)

regimes24.0ms (0.5%)

Accuracy

Total -34.6b remaining (-745.2%)

Threshold costs -34.6b (-745.2%)

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

2 calls:

12.0ms
x
11.0ms
eps
Results
ErrorSegmentsBranch
4.6b3x
6.4b3eps
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch90.0ms (2.1%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
1.8742865165642487e-123
3.494415202401914e-119
60.0ms
-8.413253253555421e-74
-7.713978516759091e-76
Compiler

Compiled 16 to 12 computations (25% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01647
11947
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(if (<=.f64 x -5355656111095487/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 5579997268639807/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))
(*.f64 eps eps)
Outputs
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 2 x) eps))
(if (<=.f64 x -5355656111095487/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 5579997268639807/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))
(if (<=.f64 x -5355656111095487/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (*.f64 (*.f64 2 x) eps) (if (<=.f64 x 5579997268639807/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976) (*.f64 eps eps) (*.f64 (*.f64 2 x) eps)))
(*.f64 eps eps)
Compiler

Compiled 39 to 25 computations (35.9% saved)

soundness88.0ms (2%)

Algorithm
egg-herbie
Rules
563×distribute-rgt-in_binary64
513×cancel-sign-sub-inv_binary64
510×fma-neg_binary64
463×distribute-lft-in_binary64
412×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813
11913
24913
316113
46368
528288
Stop Event
node limit
Compiler

Compiled 212 to 127 computations (40.1% saved)

end48.0ms (1.1%)

Compiler

Compiled 35 to 19 computations (45.7% saved)

Profiling

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