Details

Time bar (total: 2.2s)

analyze0.0ms (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)

sample1.7s (77.1%)

Results
1.1s6164×body256valid
325.0ms996×body1024valid
246.0ms1075×body512valid
8.0ms21×body2048valid
Bogosity

preprocess45.0ms (2%)

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)

simplify29.0ms (1.3%)

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 → 4
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 35 to 19 computations (45.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New314
Fresh101
Picked000
Done000
Total415
Error
0.0b
Counts
5 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 eps (fma.f64 2 x eps))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.3%)

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 (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite39.0ms (1.7%)

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))))))))

simplify39.0ms (1.8%)

Algorithm
egg-herbie
Rules
717×fma-def_binary64
584×log-prod_binary64
329×*-commutative_binary64
314×associate-*l*_binary64
273×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040281
1101281
2331281
32324281
45611281
Stop Event
node limit
Counts
37 → 19
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)))
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
Outputs
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps 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 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps 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 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps 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 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))

eval3.0ms (0.2%)

Compiler

Compiled 147 to 90 computations (38.8% saved)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New16319
Fresh000
Picked011
Done000
Total16420
Error
0b
Counts
20 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
0.0b
(*.f64 eps (fma.f64 2 x eps))
21.7b
(*.f64 eps (*.f64 2 x))
17.2b
(*.f64 eps eps)
Compiler

Compiled 31 to 20 computations (35.5% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 3 computations (50% saved)

localize5.0ms (0.2%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 25 to 13 computations (48% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite46.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
890×pow1_binary64
828×add-log-exp_binary64
827×log1p-expm1-u_binary64
827×expm1-log1p-u_binary64
809×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11748
223248
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
Outputs
((#(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 -.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 eps (-.f64 (*.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (/.f64 1 (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))) (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 2 (*.f64 x eps)) 2)) (-.f64 (*.f64 eps eps) (*.f64 2 (*.f64 x eps))))))) (#(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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 x) eps (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 2 x) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps eps (*.f64 2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (*.f64 x eps)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps eps) (*.f64 2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))))))

simplify47.0ms (2.1%)

Algorithm
egg-herbie
Rules
887×fma-neg_binary64
700×div-sub_binary64
609×times-frac_binary64
271×fma-def_binary64
250×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0106963
1287810
2980773
35246773
Stop Event
node limit
Counts
64 → 56
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)))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 eps (-.f64 (*.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (*.f64 2 x) eps))))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 1 (*.f64 eps (fma.f64 2 x eps)))
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))
(*.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (/.f64 1 (*.f64 eps (-.f64 (*.f64 2 x) eps))))
(*.f64 (fma.f64 2 x eps) eps)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))) (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))))
(/.f64 1 (/.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 2 (*.f64 x eps)) 2)) (-.f64 (*.f64 eps eps) (*.f64 2 (*.f64 x eps))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 x eps) (*.f64 eps eps))
(fma.f64 (*.f64 2 x) eps (*.f64 eps eps))
(fma.f64 eps (*.f64 2 x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 2 (*.f64 x eps)))
(fma.f64 1 (*.f64 2 (*.f64 x eps)) (*.f64 eps eps))
(fma.f64 1 (*.f64 eps eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps 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)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps 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)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 eps (-.f64 (*.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (*.f64 2 x) eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 1 (*.f64 eps (fma.f64 2 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps))))
(*.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (/.f64 1 (*.f64 eps (-.f64 (*.f64 2 x) eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps)))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))) (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps))))
(/.f64 1 (/.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps)))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps)))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (-.f64 (pow.f64 eps 4) (*.f64 2 (*.f64 x (pow.f64 eps 3))))) (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (+.f64 (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (*.f64 x -2)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps (fma.f64 x -2 eps)))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 eps x) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (*.f64 (pow.f64 eps 3) (fma.f64 x -2 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps)))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 2 (*.f64 x eps)) 2)) (-.f64 (*.f64 eps eps) (*.f64 2 (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 eps x)) 2) (pow.f64 eps 4)) (*.f64 eps (fma.f64 2 x (neg.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 2 x)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 eps (*.f64 2 x)) 2)) (*.f64 eps (fma.f64 x -2 eps)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 2 (*.f64 x eps) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 2 x) eps (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps (*.f64 2 x) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps eps (*.f64 2 (*.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (*.f64 2 (*.f64 x eps)) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (*.f64 eps eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 eps (*.f64 2 x)))
(fma.f64 eps (*.f64 2 x) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4))))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))

eval15.0ms (0.7%)

Compiler

Compiled 835 to 518 computations (38% saved)

prune7.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done033
Total56460
Error
0b
Counts
60 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
0.0b
(*.f64 eps (fma.f64 2 x eps))
21.7b
(*.f64 eps (*.f64 2 x))
17.2b
(*.f64 eps eps)
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes17.0ms (0.7%)

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:

9.0ms
eps
4.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1eps
0.0b1(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Compiler

Compiled 51 to 31 computations (39.2% saved)

regimes34.0ms (1.5%)

Accuracy

Total -31.9b remaining (-586.8%)

Threshold costs -31.9b (-586.8%)

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:

25.0ms
eps
8.0ms
x
Results
ErrorSegmentsBranch
5.4b3x
9.1b3eps
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch57.0ms (2.5%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
1.4771879909723197e-95
7.158281518672257e-95
43.0ms
-1.1095567777360169e-95
-2.1732152146759245e-97
Results
42.0ms100×body512valid
13.0ms108×body256valid
Compiler

Compiled 198 to 142 computations (28.3% saved)

simplify3.0ms (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 -1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 2630367692706693/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (*.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 -1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 2630367692706693/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))
(if (<=.f64 x -1394846410761035/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (*.f64 (*.f64 2 x) eps) (if (<=.f64 x 2630367692706693/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (*.f64 eps eps) (*.f64 (*.f64 2 x) eps)))
(*.f64 eps eps)
Compiler

Compiled 39 to 25 computations (35.9% saved)

soundness73.0ms (3.3%)

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)

end22.0ms (1%)

Compiler

Compiled 35 to 19 computations (45.7% saved)

Profiling

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