Details

Time bar (total: 2.3s)

analyze1.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%25.7%74.3%0
25.7%0%74.3%1
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.8s (80.5%)

Results
787.0ms5491×body128valid
444.0ms969×body1024valid
387.0ms1113×body512valid
188.0ms655×body256valid
14.0ms28×body2048valid
Compiler

Compiled 52 to 38 computations (26.9% saved)

preprocess35.0ms (1.5%)

Algorithm
2×egg-herbie
Rules
497×associate-*l*_binary64
409×associate-*r*_binary64
202×fma-neg_binary64
186×cancel-sign-sub-inv_binary64
176×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
13226
27626
326226
4117320
5431720
022
Stop Event
1×saturated
1×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 x (+.f64 x eps)))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps))
(*.f64 x (+.f64 eps (+.f64 x eps)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify34.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
517×cancel-sign-sub-inv_binary64
510×fma-neg_binary64
430×fma-def_binary64
372×unswap-sqr_binary64
269×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813
11913
24913
316613
46578
527428
Stop Event
1×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))

prune3.0ms (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
StatusErrorProgram
▶0.0b
(*.f64 eps (fma.f64 2 x eps))
15.9b
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Compiler

Compiled 55 to 37 computations (32.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

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))

rewrite33.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
552×pow1_binary64
507×add-log-exp_binary64
507×log1p-expm1-u_binary64
507×expm1-log1p-u_binary64
497×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11208
213648
Stop Event
1×node limit
Counts
1 → 15
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 cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3)))))) (#(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 expm1.f64 (log1p.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))))))))

simplify62.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
564×fma-def_binary64
469×associate-*l*_binary64
434×unswap-sqr_binary64
370×sqr-pow_binary64
292×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
08231
119231
237213
375177
4168177
5464177
61534177
72777177
83132177
93354177
103576177
113880177
124302177
134812177
Stop Event
1×node limit
Counts
39 → 21
Calls
Call 1
Inputs
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
Outputs
(*.f64 2 (*.f64 eps x))
(*.f64 x (*.f64 2 eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 x (*.f64 2 eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 x (*.f64 2 eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (*.f64 2 eps)))
(*.f64 eps (+.f64 eps (*.f64 2 x)))
(*.f64 eps (fma.f64 2 x eps))

prune13.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh011
Picked011
Done000
Total21223
Error
0b
Counts
23 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 eps (fma.f64 2 x eps))
▶15.9b
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Compiler

Compiled 199 to 127 computations (36.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 x eps) 2)
✓3.5b
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

series6.0ms (0.3%)

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
eps
@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
x
@-inf
(pow.f64 (+.f64 x eps) 2)

rewrite52.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
898×log1p-expm1-u_binary64
898×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
94×pow1_binary64
92×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118620
2252520
Stop Event
1×node limit
Counts
2 → 67
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) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 (neg.f64 (*.f64 x 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 (neg.f64 (*.f64 x 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 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x 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 (+.f64 (pow.f64 (+.f64 x eps) 4) (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 (+.f64 (pow.f64 (+.f64 x eps) 4) (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 (+.f64 (pow.f64 (+.f64 x eps) 4) (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 (+.f64 (pow.f64 (+.f64 x eps) 4) (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 (neg.f64 (*.f64 x x)) 3)) (+.f64 (pow.f64 (+.f64 x eps) 4) (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x))) (*.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x 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 log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))))))) (#(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 fma.f64 (+.f64 x eps) (+.f64 x eps) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x 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) (neg.f64 (*.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 exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) 1))))))
((#(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 log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 x eps))) 1))))))

simplify74.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
613×fma-def_binary64
391×sqr-pow_binary64
374×*-commutative_binary64
372×unswap-sqr_binary64
362×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012525
132498
269435
3151393
4412393
51498393
62779393
73051393
83237393
93481393
103784393
114175393
124682393
Stop Event
1×node limit
Counts
115 → 79
Calls
Call 1
Inputs
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(*.f64 2 (*.f64 eps x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 x 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 x 2))
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(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 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(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 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(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 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 (*.f64 eps x)) (pow.f64 eps 2))
(fma.f64 2 (*.f64 eps x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 eps (*.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))
(+.f64 (*.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 (*.f64 eps x) (*.f64 eps eps)) (*.f64 x x))
(fma.f64 2 (*.f64 eps x) (fma.f64 eps eps (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (fma.f64 eps 2 x)))
(fma.f64 eps (fma.f64 2 x eps) (*.f64 x x))
(fma.f64 x (fma.f64 eps 2 x) (*.f64 eps eps))

prune54.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done011
Total79281
Error
0b
Counts
81 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 eps (fma.f64 2 x eps))
✓15.9b
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Compiler

Compiled 1268 to 586 computations (53.8% saved)

regimes17.0ms (0.7%)

Accuracy

Total 0.0b remaining (22.4%)

Threshold costs 0.0b (22.4%)

Counts
7 → 1
Compiler

Compiled 55 to 35 computations (36.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 2 x eps))
Outputs
(*.f64 eps (fma.f64 2 x eps))

end45.0ms (2%)

Stop Event
1×done
Compiler

Compiled 35 to 23 computations (34.3% saved)

Profiling

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