Details

Time bar (total: 5.9s)

analyze0.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.7s (28.6%)

Results
722.0ms2057×body1024valid
593.0ms4889×body256valid
265.0ms1091×body512valid
101.0ms219×body2048valid

preprocess52.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
868×unswap-sqr_binary64
380×associate-*l*_binary64
377×fma-def_binary64
334×distribute-neg-frac_binary64
316×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12930
24130
35830
410330
522630
660230
7187930
8493430
9635830
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 y) -2))) -1)
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify50.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
978×times-frac_binary64
942×fma-neg_binary64
434×unswap-sqr_binary64
374×associate-*l/_binary64
342×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11915
22515
33415
45915
512415
631115
797215
8254915
9418915
10708715
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)

eval1.0ms (0%)

Compiler

Compiled 22 to 20 computations (9.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
29.6b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.6b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize17.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.9b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓3.9b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 37 to 31 computations (16.2% saved)

series7.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
1.0ms
x
@inf
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms
x
@-inf
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms
x
@0
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms
x
@inf
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

rewrite72.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
426×log-prod_binary64
329×exp-prod_binary64
259×prod-diff_binary64
252×pow2_binary64
247×prod-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121736
2271236
Stop Event
1×node limit
Counts
3 → 146
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Outputs
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x) -2) (expm1.f64 (*.f64 -2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 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x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 8) (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))))

simplify63.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
972×fma-def_binary64
609×associate-*l/_binary64
546×associate-*r/_binary64
485×associate-/l/_binary64
450×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041243
1112239
2261237
3730231
41611228
52806228
64133228
Stop Event
1×node limit
Counts
166 → 168
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(fma.f64 x -2 (*.f64 2 (fma.f64 x x 1)))
(fma.f64 x (fma.f64 x 2 -2) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 (fma.f64 2 (*.f64 x x) (fma.f64 x -2 2)) (*.f64 (pow.f64 x 3) -4/3))
(fma.f64 x (*.f64 x 2) (fma.f64 x -2 (fma.f64 (pow.f64 x 3) -4/3 2)))
(fma.f64 x (*.f64 x (fma.f64 x -4/3 2)) (fma.f64 x -2 2))
(fma.f64 x (fma.f64 x (fma.f64 x -4/3 2) -2) 2)
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 2/15 (pow.f64 x 5) 1))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) 1)))

eval68.0ms (1.2%)

Compiler

Compiled 2728 to 2249 computations (17.6% saved)

prune29.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1617168
Fresh000
Picked011
Done000
Total1618169
Error
0.0b
Counts
169 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.3b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓29.6b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶59.5b
(-.f64 (+.f64 1 x) 1)
30.1b
x
▶61.3b
(-.f64 1 1)
31.2b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
▶30.8b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
▶48.1b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
Compiler

Compiled 151 to 127 computations (15.9% saved)

localize18.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
16.7b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
0.3b
(*.f64 2/15 (pow.f64 x 5))
0.2b
(*.f64 -1/3 (pow.f64 x 3))
✓0.2b
(*.f64 -1/3 (pow.f64 x 3))
✓0.3b
(*.f64 2/15 (pow.f64 x 5))
✓16.7b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series7.0ms (0.1%)

Counts
3 → 10
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 2/15 (pow.f64 x 5))
1.0ms
x
@0
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
1.0ms
x
@inf
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
1.0ms
x
@0
(*.f64 2/15 (pow.f64 x 5))
0.0ms
x
@0
(*.f64 -1/3 (pow.f64 x 3))

rewrite68.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
556×log-prod_binary64
547×fma-def_binary64
332×pow2_binary64
319×fma-neg_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
127929
2351129
Stop Event
1×node limit
Counts
3 → 121
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 -1/3 (pow.f64 x 3))
Outputs
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(fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 -1/3 (*.f64 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 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3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -1/3)) (cbrt.f64 (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 1/9)) (*.f64 x (cbrt.f64 -1/3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/225)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/225)) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 10) 4/225 (neg.f64 (*.f64 x x))) (/.f64 1 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/15) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 x) (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (*.f64 x x)) x (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 4/225) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 8/3375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 4/225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 8/3375))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) -1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))

simplify118.0ms (2%)

Algorithm
1×egg-herbie
Rules
1252×sqr-pow_binary64
712×cube-prod_binary64
698×pow-sqr_binary64
678×fabs-mul_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014119
136111
272111
3161111
4300111
5746111
61133111
71779111
81887111
92049111
102266111
112596111
123052111
133649111
144402111
155330111
165836111
176320111
186720111
197044111
207204111
Stop Event
1×node limit
Counts
131 → 129
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.9b
(-.f64 (+.f64 1 x) 1)
✓3.9b
(-.f64 (+.f64 1 x) 1)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite39.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
553×pow1_binary64
521×add-log-exp_binary64
521×log1p-expm1-u_binary64
521×expm1-log1p-u_binary64
513×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11151
215751
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (+.f64 1 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
49 → 38
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.9b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
0.2b
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓0.2b
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓3.9b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
Compiler

Compiled 30 to 25 computations (16.7% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
1.0ms
x
@inf
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
0.0ms
x
@-inf
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
0.0ms
x
@inf
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
0.0ms
x
@-inf
(/.f64 2 (+.f64 2 (*.f64 -2 x)))

rewrite58.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
591×unpow-prod-down_binary64
401×log-prod_binary64
306×exp-prod_binary64
301×prod-diff_binary64
238×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120219
2255219
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (fma.f64 -2 x 2) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (fma.f64 -2 x 2) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -2 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 -2 x 2) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))))) (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 -2 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (fma.f64 -2 x 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (fma.f64 -2 x 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -2 x 2))))))))

simplify33.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
774×fma-neg_binary64
526×associate-*l*_binary64
435×fma-def_binary64
413×associate-*r*_binary64
410×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038333
1112299
2345290
3996289
42739289
Stop Event
1×node limit
Counts
148 → 152
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (fma.f64 x x x) (pow.f64 x 3))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) (+.f64 x (pow.f64 x 3)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 (+.f64 x (*.f64 x x)) 1)
(+.f64 (fma.f64 x x x) 1)
(+.f64 x (fma.f64 x x 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))) 1)
(+.f64 (+.f64 (fma.f64 x x x) (pow.f64 x 3)) 1)
(+.f64 (fma.f64 x (fma.f64 x x x) x) 1)
(*.f64 (+.f64 x 1) (fma.f64 x x 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))) (/.f64 -1 (pow.f64 x 4)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x))) (/.f64 -1 (pow.f64 x 4)))

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/3 (pow.f64 x 3))
0.0b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓0.0b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
0.2b
(*.f64 -1/3 (pow.f64 x 3))
Compiler

Compiled 20 to 15 computations (25% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
0.0ms
x
@0
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
0.0ms
x
@-inf
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

rewrite48.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
744×pow1_binary64
701×add-log-exp_binary64
701×log1p-expm1-u_binary64
701×expm1-log1p-u_binary64
687×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11598
219108
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))))

simplify134.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1328×sqr-pow_binary64
715×pow-sqr_binary64
530×cube-prod_binary64
470×fabs-mul_binary64
438×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11515
23215
35715
411615
531515
6114315
7182815
8191515
9204815
10220615
11243615
12275815
13317915
14367915
15427415
16499615
17531515
18559915
19582115
20600115
21608315
22702315
23799715
Stop Event
1×node limit
Counts
38 → 37
Calls
Call 1
Inputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
Outputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))

eval153.0ms (2.6%)

Compiler

Compiled 5626 to 4573 computations (18.7% saved)

prune56.0ms (0.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New3667373
Fresh112
Picked011
Done145
Total36813381
Error
0.0b
Counts
381 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.3b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓29.6b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓59.5b
(-.f64 (+.f64 1 x) 1)
▶60.0b
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
✓61.3b
(-.f64 1 1)
30.1b
x
31.2b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
▶59.5b
(+.f64 1 (+.f64 x -1))
48.9b
-1
▶30.6b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
▶30.6b
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
▶30.6b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓30.8b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
Compiler

Compiled 218 to 176 computations (19.3% saved)

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
12.4b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
0.0b
(*.f64 (+.f64 x 2) x)
0.0b
(/.f64 1 (+.f64 x 2))
✓0.0b
(/.f64 1 (+.f64 x 2))
✓0.0b
(*.f64 (+.f64 x 2) x)
✓12.4b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(*.f64 (+.f64 x 2) x)
1.0ms
x
@-inf
(*.f64 (+.f64 x 2) x)
0.0ms
x
@-inf
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
0.0ms
x
@0
(*.f64 (+.f64 x 2) x)
0.0ms
x
@inf
(/.f64 1 (+.f64 x 2))

rewrite58.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
880×pow1_binary64
823×add-log-exp_binary64
822×log1p-expm1-u_binary64
822×expm1-log1p-u_binary64
808×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
117527
2227127
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 x 2) x)
(/.f64 1 (+.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 2) -1/2) (pow.f64 (+.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 2)) -1) (pow.f64 (sqrt.f64 (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 2))))))))

simplify46.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
791×distribute-neg-frac_binary64
787×fma-def_binary64
700×associate-*r*_binary64
415×times-frac_binary64
287×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035279
197264
2244264
3668258
41912255
56864255
Stop Event
1×node limit
Counts
105 → 90
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (*.f64 x -1/4))
(fma.f64 x -1/4 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/4)))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/4 1/2))
(fma.f64 x (*.f64 x 1/8) (fma.f64 x -1/4 1/2))
(fma.f64 x (fma.f64 x 1/8 -1/4) 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (+.f64 1/2 (*.f64 x -1/4))))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 x -1/4 1/2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 x -1/4 (fma.f64 -1/16 (pow.f64 x 3) 1/2)))
(fma.f64 -1/16 (pow.f64 x 3) (fma.f64 x (fma.f64 x 1/8 -1/4) 1/2))
(fma.f64 x (fma.f64 x (fma.f64 x -1/16 1/8) -1/4) 1/2)
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x))) (/.f64 8 (pow.f64 x 4)))
(+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 4 (/.f64 8 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 (/.f64 2 x) x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x))) (/.f64 8 (pow.f64 x 4)))
(+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 4 (/.f64 8 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 (/.f64 2 x) x))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.9b
(+.f64 1 (+.f64 x -1))
✓3.9b
(+.f64 1 (+.f64 x -1))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite45.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
691×pow1_binary64
647×add-log-exp_binary64
645×log1p-expm1-u_binary64
645×expm1-log1p-u_binary64
637×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11294
216984
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 1 (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 0)))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
44 → 33
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.3b
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
0.0b
(*.f64 (+.f64 x 2) x)
0.0b
(*.f64 (+.f64 x 2) x)
✓12.3b
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
839×pow1_binary64
790×add-log-exp_binary64
789×log1p-expm1-u_binary64
789×expm1-log1p-u_binary64
776×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113913
2202913
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x 2) (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) (/.f64 1 (/.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) (*.f64 x (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 2) (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) (sqrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 -2 (neg.f64 x))) (/.f64 1 (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
55 → 44
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
12.4b
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
0.2b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
0.0b
(*.f64 (+.f64 x 2) x)
0.0b
(*.f64 (+.f64 x 2) x)
✓0.2b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓12.4b
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
0.0ms
x
@0
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
0.0ms
x
@-inf
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
0.0ms
x
@inf
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
0.0ms
x
@inf
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))

rewrite57.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
882×pow1_binary64
830×add-log-exp_binary64
829×log1p-expm1-u_binary64
829×expm1-log1p-u_binary64
814×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0829
11805
225265
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) (/.f64 (pow.f64 x -1) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (pow.f64 x -1) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (pow.f64 x -1) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1) (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 -2 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (pow.f64 x -1) (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0460
1660
Stop Event
1×saturated
Counts
105 → 83
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
12.3b
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
3.9b
(-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1)))
0.0b
(*.f64 (+.f64 x -1) (+.f64 x -1))
0.0b
(-.f64 1 (+.f64 x -1))
✓0.0b
(-.f64 1 (+.f64 x -1))
✓0.0b
(*.f64 (+.f64 x -1) (+.f64 x -1))
✓3.9b
(-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1)))
✓12.3b
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
Compiler

Compiled 44 to 34 computations (22.7% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
1.0ms
x
@-inf
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
1.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
0.0ms
x
@inf
(*.f64 (+.f64 x -1) (+.f64 x -1))
0.0ms
x
@-inf
(-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1)))

rewrite104.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
731×prod-diff_binary64
484×log-prod_binary64
376×fma-def_binary64
272×pow2_binary64
210×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0943
121425
2326822
Stop Event
1×node limit
Counts
4 → 304
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1)))
(*.f64 (+.f64 x -1) (+.f64 x -1))
(-.f64 1 (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x))) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 (neg.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (-.f64 2 x)))) (/.f64 (+.f64 x -1) (sqrt.f64 (-.f64 2 x))) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (-.f64 2 x)) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x))) 1 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 2 x))) 2) (cbrt.f64 (/.f64 1 (-.f64 2 x))) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x))) 1 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) (sqrt.f64 (/.f64 1 (-.f64 2 x))) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x))) 1 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) x (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)) 1))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x))) 1 (*.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 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-1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 x)))))))

simplify73.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
738×fma-def_binary64
417×distribute-rgt-neg-in_binary64
413×fma-neg_binary64
354×neg-mul-1_binary64
351×neg-sub0_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
016281
136255
267210
3127210
4328210
5958210
62137210
74008210
85238210
96234202
107482202
Stop Event
1×node limit
Counts
352 → 322
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(fma.f64 x 2 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(fma.f64 x (-.f64 x 2) 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(fma.f64 x (-.f64 x 2) 1)
(pow.f64 x 2)
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(fma.f64 x (-.f64 x 2) 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(fma.f64 x (-.f64 x 2) 1)
(pow.f64 x 2)
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (-.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(fma.f64 x (-.f64 x 2) 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(fma.f64 x (-.f64 x 2) 1)
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(*.f64 -1 x)
x
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(*.f64 -1 x)
x
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)

eval292.0ms (4.9%)

Compiler

Compiled 13094 to 10461 computations (20.1% saved)

prune97.0ms (1.6%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New6175622
Fresh123
Picked101
Done279
Total62114635
Error
0.0b
Counts
635 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.3b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓29.6b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶28.9b
(/.f64 (*.f64 2 x) (+.f64 x 2))
▶31.2b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
✓59.5b
(+.f64 1 (+.f64 x -1))
▶28.9b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
48.9b
-1
✓59.5b
(-.f64 (+.f64 1 x) 1)
✓61.3b
(-.f64 1 1)
30.1b
x
▶31.7b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
✓30.6b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓30.8b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
▶30.1b
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 196 to 160 computations (18.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (*.f64 2 x) (+.f64 x 2))
✓0.3b
(/.f64 (*.f64 2 x) (+.f64 x 2))
Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite47.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
811×pow1_binary64
763×add-log-exp_binary64
762×log1p-expm1-u_binary64
762×expm1-log1p-u_binary64
749×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113910
2197510
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) (+.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (/.f64 (+.f64 2 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (+.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2 (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 x) (/.f64 1 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (+.f64 2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (/.f64 (+.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))) (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))) 2) (cbrt.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))) (sqrt.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 1 (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 x)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 2 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 2 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (*.f64 2 x) (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 2 x))) (/.f64 x (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 2 x))) (/.f64 2 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (*.f64 2 x) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (+.f64 2 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 x) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 x) (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 (+.f64 2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 2 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 x) (*.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 x) (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 2 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (/.f64 (+.f64 2 x) x))))))))

simplify38.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
805×unswap-sqr_binary64
779×distribute-neg-frac_binary64
513×associate-/r*_binary64
368×fma-def_binary64
334×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033144
195144
2236144
3663138
42079138
55945138
Stop Event
1×node limit
Counts
55 → 57
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) x)
(fma.f64 (*.f64 x x) (fma.f64 x 1/4 -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 3) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) x))
(fma.f64 (*.f64 x x) (fma.f64 x 1/4 -1/2) (fma.f64 -1/8 (pow.f64 x 4) x))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 2 (-.f64 (/.f64 8 (*.f64 x x)) (/.f64 4 x)))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -4 x)))
(+.f64 2 (-.f64 (/.f64 -4 x) (/.f64 (/.f64 -8 x) x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 8 (*.f64 x x))) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (-.f64 2 (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -4 x) (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -16 (pow.f64 x 3)) (-.f64 (/.f64 -4 x) (/.f64 (/.f64 -8 x) x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 2 (-.f64 (/.f64 8 (*.f64 x x)) (/.f64 4 x)))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -4 x)))
(+.f64 2 (-.f64 (/.f64 -4 x) (/.f64 (/.f64 -8 x) x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 8 (*.f64 x x))) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (-.f64 2 (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -4 x) (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -16 (pow.f64 x 3)) (-.f64 (/.f64 -4 x) (/.f64 (/.f64 -8 x) x))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 1 x))
✓0.2b
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite35.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
348×pow1_binary64
336×add-sqr-sqrt_binary64
328×*-un-lft-identity_binary64
323×add-log-exp_binary64
323×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
11051
29971
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
60 → 49
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
0.0b
(/.f64 1 (+.f64 x 2))
0.0b
(/.f64 1 (+.f64 x 2))
✓0.3b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
0.0ms
x
@-inf
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
0.0ms
x
@inf
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))

rewrite46.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
854×pow1_binary64
798×add-log-exp_binary64
797×log1p-expm1-u_binary64
797×expm1-log1p-u_binary64
784×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117410
2221710
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))))))))

simplify41.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
805×unswap-sqr_binary64
779×distribute-neg-frac_binary64
513×associate-/r*_binary64
368×fma-def_binary64
334×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033144
195144
2236144
3663138
42079138
55945138
Stop Event
1×node limit
Counts
38 → 40
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) x)
(fma.f64 (*.f64 x x) (fma.f64 x 1/4 -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 3) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) x))
(fma.f64 (*.f64 x x) (fma.f64 x 1/4 -1/2) (fma.f64 -1/8 (pow.f64 x 4) x))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 2 (-.f64 (/.f64 8 (*.f64 x x)) (/.f64 4 x)))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -4 x)))
(+.f64 2 (-.f64 (/.f64 -4 x) (/.f64 (/.f64 -8 x) x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 8 (*.f64 x x))) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (-.f64 2 (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -4 x) (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -16 (pow.f64 x 3)) (-.f64 (/.f64 -4 x) (/.f64 (/.f64 -8 x) x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 2 (-.f64 (/.f64 8 (*.f64 x x)) (/.f64 4 x)))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -4 x)))
(+.f64 2 (-.f64 (/.f64 -4 x) (/.f64 (/.f64 -8 x) x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 8 (*.f64 x x))) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (-.f64 2 (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -4 x) (+.f64 (/.f64 (/.f64 8 x) x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 -16 (pow.f64 x 3)) (-.f64 (/.f64 -4 x) (/.f64 (/.f64 -8 x) x))))

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
0.0b
(*.f64 (+.f64 x 2) x)
0.0b
(*.f64 (+.f64 x 2) x)
✓0.0b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
1.0ms
x
@inf
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
1.0ms
x
@-inf
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))

rewrite57.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
541×log-prod_binary64
493×prod-diff_binary64
382×pow-prod-down_binary64
293×pow2_binary64
275×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
123114
2308714
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (fma.f64 x -1/4 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (fma.f64 x -1/4 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (fma.f64 x -1/4 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (fma.f64 x -1/4 1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) 3) (pow.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) 2) (-.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)) 2) (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) 2) (pow.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)) 2)) (-.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/64 (pow.f64 x 3) 1/8) (*.f64 x (+.f64 x 2))) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/16)) (*.f64 x (+.f64 x 2))) (+.f64 1/2 (*.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 2)) (fma.f64 -1/64 (pow.f64 x 3) 1/8)) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (fma.f64 x -1/4 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4))) (exp.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (+.f64 x 2) 1/2) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) (*.f64 x 1/2) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 2)) 1/2 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 x (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/16)) (*.f64 (cbrt.f64 (*.f64 x -1/4)) (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 1/2) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x -1/4)) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/4)) (*.f64 (sqrt.f64 (*.f64 x -1/4)) (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1/2) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x -1/4)) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) 1 (*.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4))) 2) (cbrt.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4))) (sqrt.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (sqrt.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) (+.f64 x 2) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) x) (+.f64 x 2) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) x) -1/4 (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (+.f64 x 2)) x (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1/4) x (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/16))) (cbrt.f64 (*.f64 x -1/4)) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (*.f64 x -1/4))) (sqrt.f64 (*.f64 x -1/4)) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (+.f64 x 2)) x (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))))))

simplify130.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1329×sqr-pow_binary64
715×pow-sqr_binary64
532×cube-prod_binary64
470×fabs-mul_binary64
435×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0787
11887
23687
37587
414487
535787
6121887
7192987
8201687
9214987
10230787
11253787
12285987
13328087
14378087
15437587
16509587
17541687
18570087
19592287
20610287
21618487
22712487
Stop Event
1×node limit
Counts
76 → 68
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
Outputs
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)

localize30.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
16.7b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
0.3b
(*.f64 2/15 (pow.f64 x 5))
0.2b
(*.f64 -1/3 (pow.f64 x 3))
0.1b
(*.f64 -17/315 (pow.f64 x 7))
0.2b
(*.f64 -1/3 (pow.f64 x 3))
0.3b
(*.f64 2/15 (pow.f64 x 5))
16.7b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
✓20.6b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
Compiler

Compiled 72 to 56 computations (22.2% saved)

series1.0ms (0%)

Counts
1 → 9
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
0.0ms
x
@0
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
0.0ms
x
@-inf
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))

rewrite75.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
893×fma-def_binary64
505×fma-neg_binary64
327×expm1-udef_binary64
327×log1p-udef_binary64
193×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722
139922
2512822
Stop Event
1×node limit
Counts
1 → 89
Calls
Call 1
Inputs
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
Outputs
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x 7) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -17/315 (pow.f64 x 7))) (cbrt.f64 (*.f64 (pow.f64 x 14) 289/99225)) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 289/99225)) (cbrt.f64 (*.f64 -17/315 (pow.f64 x 7))) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (cbrt.f64 (pow.f64 x 7)) -17/315) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 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-1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (*.f64 -17/315 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 8/3375 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 4/225 (pow.f64 x 10)))) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))) (*.f64 -17/315 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 4/225 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))) (*.f64 -17/315 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/3) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -17/315) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))) 1 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (+.f64 x (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (+.f64 x (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -17/315 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -17/315 (pow.f64 x 7/2)) (pow.f64 x 7/2) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 x) (*.f64 x x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (*.f64 x x)) x (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))))))

simplify118.0ms (2%)

Algorithm
1×egg-herbie
Rules
1116×sqr-pow_binary64
674×cube-prod_binary64
624×unswap-sqr_binary64
623×fabs-mul_binary64
414×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020108
154108
2109108
3254108
4472108
51141108
61739108
72698108
82852108
93098108
103419108
113900108
124579108
135473108
146119108
156628108
167033108
177410108
187626108
Stop Event
1×node limit
Counts
98 → 99
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))

eval246.0ms (4.2%)

Compiler

Compiled 9111 to 7005 computations (23.1% saved)

prune78.0ms (1.3%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New4949503
Fresh112
Picked011
Done4711
Total49918517
Error
0b
Counts
517 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.3b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓29.6b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓59.5b
(-.f64 (+.f64 1 x) 1)
28.8b
(*.f64 (/.f64 2 (+.f64 2 x)) x)
61.1b
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
30.1b
x
✓31.2b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
59.2b
2
31.3b
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
✓59.5b
(+.f64 1 (+.f64 x -1))
48.9b
-1
60.0b
(+.f64 2 (/.f64 -4 x))
31.2b
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (fma.f64 x 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))
31.7b
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
✓31.7b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
58.0b
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 x 2)))) 1)
✓30.6b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓30.8b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
Compiler

Compiled 203 to 166 computations (18.2% saved)

regimes187.0ms (3.2%)

Counts
18 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 2 (/.f64 -4 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 1 x) 1)
(*.f64 (/.f64 2 (+.f64 2 x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 x 2)))) 1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (fma.f64 x 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (fma.f64 x 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

12 calls:

54.0ms
y
25.0ms
(*.f64 -2 x)
25.0ms
x
25.0ms
(*.f64 -2 x)
7.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
ErrorSegmentsBranch
0b3x
21.3b7y
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(exp.f64 (*.f64 -2 x))
0b3(exp.f64 (*.f64 -2 x))
0b3(*.f64 -2 x)
0b3(*.f64 -2 x)
Compiler

Compiled 257 to 208 computations (19.1% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.007945929060452207
6.2274000762034945
0.0ms
-32595562011.850994
-0.011736248436216264
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes180.0ms (3%)

Counts
17 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 2 (/.f64 -4 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 1 x) 1)
(*.f64 (/.f64 2 (+.f64 2 x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 x 2)))) 1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

12 calls:

52.0ms
y
25.0ms
(*.f64 -2 x)
24.0ms
(*.f64 -2 x)
24.0ms
x
7.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
ErrorSegmentsBranch
0.0b3x
21.3b7y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
0.0b3(*.f64 -2 x)
Compiler

Compiled 238 to 193 computations (18.9% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.007945929060452207
6.2274000762034945
0.0ms
-32595562011.850994
-0.011736248436216264
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes177.0ms (3%)

Counts
16 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 2 (/.f64 -4 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 1 x) 1)
(*.f64 (/.f64 2 (+.f64 2 x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 x 2)))) 1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

12 calls:

53.0ms
y
24.0ms
(*.f64 -2 x)
23.0ms
x
22.0ms
(*.f64 -2 x)
7.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0.0b3x
21.3b7y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
0.0b3(*.f64 -2 x)
Compiler

Compiled 219 to 178 computations (18.7% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.007945929060452207
6.2274000762034945
0.0ms
-0.011736248436216264
-0.0014310031031199528
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes171.0ms (2.9%)

Counts
15 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 2 (/.f64 -4 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 1 x) 1)
(*.f64 (/.f64 2 (+.f64 2 x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 x 2)))) 1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

12 calls:

47.0ms
y
26.0ms
(*.f64 -2 x)
22.0ms
(*.f64 -2 x)
22.0ms
x
7.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0.1b3x
21.3b7y
0.1b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.1b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.1b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.1b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.1b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.1b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.1b3(exp.f64 (*.f64 -2 x))
0.1b3(exp.f64 (*.f64 -2 x))
0.1b3(*.f64 -2 x)
0.1b3(*.f64 -2 x)
Compiler

Compiled 206 to 168 computations (18.4% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.948835868577842e-8
0.0017791103701785555
0.0ms
-0.011736248436216264
-0.0014310031031199528
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes40.0ms (0.7%)

Counts
14 → 2
Calls
Call 1
Inputs
-1
2
x
(+.f64 2 (/.f64 -4 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 1 x) 1)
(*.f64 (/.f64 2 (+.f64 2 x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 x 2)))) 1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
Outputs
-1
(*.f64 (/.f64 2 (+.f64 2 x)) x)
Calls

2 calls:

20.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
15.4b2x
27.6b3y
Compiler

Compiled 114 to 87 computations (23.7% saved)

bsearch22.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
-3.1137000381017472
-0.003972964530226103
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes29.0ms (0.5%)

Counts
6 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 2 (/.f64 -4 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 1 x) 1)
Outputs
-1
x
(+.f64 2 (/.f64 -4 x))
Calls

2 calls:

14.0ms
y
13.0ms
x
Results
ErrorSegmentsBranch
15.0b3x
28.8b3y
Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch45.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.005868124218108132
16297781005.925497
21.0ms
-3.1137000381017472
-0.003972964530226103
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes20.0ms (0.3%)

Counts
3 → 3
Calls
Call 1
Inputs
-1
2
x
Outputs
-1
x
2
Calls

2 calls:

10.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
15.0b3x
28.8b3y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch46.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.005868124218108132
16297781005.925497
21.0ms
-3.1137000381017472
-0.003972964530226103
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes10.0ms (0.2%)

Accuracy

Total -17.5b remaining (-38.6%)

Threshold costs -17.5b (-38.6%)

Counts
2 → 2
Calls
Call 1
Inputs
-1
2
Outputs
-1
2
Calls

2 calls:

6.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
45.3b2x
48.9b1y
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch104.0ms (1.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
104.0ms
-1.3819932965772264e-304
3.1996605221597378e-304
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
9×+-commutative_binary64
5×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065338
182338
283338
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -41943040000000000/2097152) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 184467440737095520/18446744073709551616) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (fma.f64 x 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -41943040000000000/2097152) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 184467440737095520/18446744073709551616) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -184467440737095520/18446744073709551616) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 184467440737095520/18446744073709551616) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -184467440737095520/18446744073709551616) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 944473296573929/18889465931478580854784) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 x -438214322854329/140737488355328) -1 (*.f64 (/.f64 2 (+.f64 2 x)) x))
(if (<=.f64 x -438214322854329/140737488355328) -1 (if (<=.f64 x 108247785644177680/18446744073709551616) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -438214322854329/140737488355328) -1 (if (<=.f64 x 108247785644177680/18446744073709551616) x 2))
(if (<=.f64 x -3414533169956409/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952) -1 2)
-1
Outputs
(if (<=.f64 (*.f64 -2 x) -41943040000000000/2097152) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 184467440737095520/18446744073709551616) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (fma.f64 x 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -20000000000) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 5764607523034235/576460752303423488) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (fma.f64 x 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -41943040000000000/2097152) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 184467440737095520/18446744073709551616) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -20000000000) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 5764607523034235/576460752303423488) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -184467440737095520/18446744073709551616) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 184467440737095520/18446744073709551616) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -5764607523034235/576460752303423488) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 5764607523034235/576460752303423488) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -184467440737095520/18446744073709551616) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 944473296573929/18889465931478580854784) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -5764607523034235/576460752303423488) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 944473296573929/18889465931478580854784) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 x -438214322854329/140737488355328) -1 (*.f64 (/.f64 2 (+.f64 2 x)) x))
(if (<=.f64 x -438214322854329/140737488355328) -1 (*.f64 x (/.f64 2 (+.f64 x 2))))
(if (<=.f64 x -438214322854329/140737488355328) -1 (if (<=.f64 x 108247785644177680/18446744073709551616) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -438214322854329/140737488355328) -1 (if (<=.f64 x 6765486602761105/1152921504606846976) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -438214322854329/140737488355328) -1 (if (<=.f64 x 108247785644177680/18446744073709551616) x 2))
(if (<=.f64 x -438214322854329/140737488355328) -1 (if (<=.f64 x 6765486602761105/1152921504606846976) x 2))
(if (<=.f64 x -3414533169956409/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952) -1 2)
-1

end145.0ms (2.4%)

Stop Event
1×fuel
Compiler

Compiled 482 to 402 computations (16.6% saved)

Profiling

Loading profile data...