Details

Time bar (total: 6.9s)

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)

sample1.8s (26%)

Results
864.0ms1992×body1024valid
576.0ms4964×body256valid
240.0ms1075×body512valid
91.0ms225×body2048valid

preprocess56.0ms (0.8%)

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)

simplify47.0ms (0.7%)

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

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
29.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
0.0b
(/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2))))
0.0b
(+.f64 1 (exp.f64 (/.f64 x -1/2)))
✓0.0b
(+.f64 1 (exp.f64 (/.f64 x -1/2)))
✓0.0b
(/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2))))
✓3.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite67.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
456×log-prod_binary64
357×exp-prod_binary64
286×pow2_binary64
249×pow-prod-down_binary64
212×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
123936
2294736
Stop Event
1×node limit
Counts
3 → 133
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2))))
(+.f64 1 (exp.f64 (/.f64 x -1/2)))
Outputs
((#(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 (/.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 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(/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))))))
((#(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 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2))))) (#(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 (/.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 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))))))) (#(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 (pow.f64 (hypot.f64 1 (exp.f64 (neg.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 x -2)) 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 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) 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 (exp.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 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 (*.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 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))))) (#(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 (exp.f64 (neg.f64 x))) 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 log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(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 (exp.f64 (neg.f64 x))))) 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 -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) (hypot.f64 1 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 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 x -2)) 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 x -2)) 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 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) -4) 1) (expm1.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 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 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))))) (#(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 (exp.f64 (neg.f64 x))) 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 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) 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 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 (log.f64 (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1) 1))))))

simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
972×fma-def_binary64
610×associate-*l/_binary64
545×associate-*r/_binary64
496×associate-/l/_binary64
450×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042411
1112407
2261405
3733399
41622396
52801396
64126396
Stop Event
1×node limit
Counts
169 → 160
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)
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)))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
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)))))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
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 (*.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 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) 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)
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)
(fma.f64 -1/3 (pow.f64 x 3) (+.f64 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)))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (+.f64 x 1)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
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 x -2 (*.f64 (pow.f64 x 3) -4/3)) (fma.f64 2 (*.f64 x x) 2))
(fma.f64 (fma.f64 x x 1) 2 (fma.f64 (pow.f64 x 3) -4/3 (*.f64 x -2)))
(fma.f64 x (fma.f64 x 2 -2) (fma.f64 (pow.f64 x 3) -4/3 2))
(fma.f64 x (fma.f64 x (fma.f64 x -4/3 2) -2) 2)
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))

eval60.0ms (0.9%)

Compiler

Compiled 2500 to 2016 computations (19.4% saved)

prune28.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1546160
Fresh000
Picked011
Done000
Total1547161
Error
0.0b
Counts
161 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.4b
(+.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)))
✓29.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
▶45.3b
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
▶31.1b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
▶31.6b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
30.1b
x
▶59.8b
(+.f64 (+.f64 x 1) -1)
Compiler

Compiled 141 to 117 computations (17% saved)

localize8.0ms (0.1%)

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))
0.2b
(*.f64 -1/3 (pow.f64 x 3))
0.1b
(*.f64 2/15 (pow.f64 x 5))
0.0b
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
✓0.0b
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
✓0.1b
(*.f64 2/15 (pow.f64 x 5))
✓0.2b
(*.f64 -1/3 (pow.f64 x 3))
✓16.7b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))

series7.0ms (0.1%)

Counts
4 → 19
Calls

12 calls:

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

rewrite85.0ms (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
01237
127937
2351137
Stop Event
1×node limit
Counts
4 → 175
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))) (/.f64 (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 (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 *.f64 1 (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 (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 (pow.f64 x 5) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2)) (cbrt.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 (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 (pow.f64 x 5) x) 3))) (neg.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) (neg.f64 (-.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 (+.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 log.f64 (+.f64 1 (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 log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 (exp.f64 2/15) (pow.f64 x 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x)) (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/15 (pow.f64 x 5) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/15 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (pow.f64 x 5)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/15 (pow.f64 x 5)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 2/15) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.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)) x)))) (#(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))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.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)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/15) 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) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 1))))))

simplify139.0ms (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
014194
136174
272174
3161174
4300174
5746174
61133174
71779174
81887174
92049174
102266174
112596174
123052174
133649174
144402174
155330174
165836174
176320174
186720174
197044174
207204174
Stop Event
1×node limit
Counts
194 → 184
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))))
x
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.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))
x
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.8b
(+.f64 (+.f64 x 1) -1)
✓3.8b
(+.f64 (+.f64 x 1) -1)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite45.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
064
11301
216851
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(+.f64 (+.f64 x 1) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))))) (#(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) (*.f64 (sqrt.f64 x) 1))))) (#(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 1 (*.f64 (+.f64 x 1) -1)))))))) (#(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 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3))))))) (#(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 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))))) (#(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 (+.f64 x 1) -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 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1)))))))) (#(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 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (-.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 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 x) 2) (cbrt.f64 x) 0)))) (#(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 x) (sqrt.f64 x) 0)))) (#(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 log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
50 → 39
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

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.8b
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
0.0b
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓0.0b
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓3.8b
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)

series2.0ms (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)))

rewrite63.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
584×unpow-prod-down_binary64
417×log-prod_binary64
323×exp-prod_binary64
252×pow2_binary64
241×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120219
2257519
Stop Event
1×node limit
Counts
2 → 111
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 (fma.f64 -2 x 2) -2)) (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 2)) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 (fma.f64 -2 x 2) -3) -1) 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simplify38.0ms (0.5%)

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
135 → 139
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)))

localize4.0ms (0.1%)

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))

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)

rewrite46.0ms (0.7%)

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 log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))))

simplify144.0ms (2.1%)

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))

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/3 (pow.f64 x 3))
0.1b
(*.f64 2/15 (pow.f64 x 5))
0.0b
(*.f64 -17/315 (pow.f64 x 7))
0.0b
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
0.1b
(*.f64 2/15 (pow.f64 x 5))
0.2b
(*.f64 -1/3 (pow.f64 x 3))
16.7b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
✓21.0b
(+.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)))

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)))

rewrite76.0ms (1.1%)

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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-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 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)))))))) (#(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))))))

simplify121.0ms (1.8%)

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))))

eval319.0ms (4.6%)

Compiler

Compiled 12093 to 9577 computations (20.8% saved)

prune95.0ms (1.4%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New6395644
Fresh101
Picked011
Done145
Total64110651
Error
0b
Counts
651 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
x
✓31.4b
(+.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)))
✓29.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
✓31.6b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
45.8b
-1
▶30.7b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓31.1b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
▶31.4b
(fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))))
▶30.7b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓59.8b
(+.f64 (+.f64 x 1) -1)
Compiler

Compiled 116 to 94 computations (19% saved)

localize5.0ms (0.1%)

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)))

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite60.0ms (0.9%)

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 log1p.f64 (expm1.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 +.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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x 2))))))))

simplify46.0ms (0.7%)

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))))

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
21.0b
(fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))))
0.2b
(*.f64 -1/3 (pow.f64 x 3))
0.1b
(fma.f64 2/15 (pow.f64 x 5) x)
0.0b
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
✓0.0b
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
✓0.1b
(fma.f64 2/15 (pow.f64 x 5) x)
0.2b
(*.f64 -1/3 (pow.f64 x 3))
✓21.0b
(fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))))

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite85.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
569×log-prod_binary64
374×pow2_binary64
328×pow-prod-down_binary64
260×expm1-udef_binary64
260×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01646
133846
2346646
Stop Event
1×node limit
Counts
3 → 94
Calls
Call 1
Inputs
(fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -17/315 (pow.f64 x 7))) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) 2) (cbrt.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) (sqrt.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3) (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 3)) (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 2) (*.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 2)) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/15 (pow.f64 x 5)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/15 (pow.f64 x 5)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 2/15 (pow.f64 x 5)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 2) (*.f64 x x)) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 2/15 (pow.f64 x 5))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -17/315 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -17/315 (pow.f64 x 7)) 1) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -17/315 (pow.f64 x 7)) 3) (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 9)) (+.f64 (pow.f64 (*.f64 -17/315 (pow.f64 x 7)) 2) (-.f64 (*.f64 1/9 (pow.f64 x 6)) (*.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -17/315 (pow.f64 x 7)) 2) (*.f64 1/9 (pow.f64 x 6))) (-.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (exp.f64 (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))) (exp.f64 (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -17/315 (pow.f64 x 7))) (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 1))))))

simplify141.0ms (2%)

Algorithm
1×egg-herbie
Rules
708×sqr-pow_binary64
674×cube-prod_binary64
624×unswap-sqr_binary64
616×fabs-mul_binary64
488×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023408
160408
2126408
3319408
4593408
51321408
61985408
72952408
83106408
93353408
103672408
114153408
124832408
135726408
146370408
156875408
167274408
177651408
187865408
Stop Event
1×node limit
Counts
130 → 110
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 -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 (*.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 -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 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
x
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
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 (*.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 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) 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 (*.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 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) 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 (*.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 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
x
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
(fma.f64 2/15 (pow.f64 x 5) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(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 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(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 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))

localize5.0ms (0.1%)

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))

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
@0
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))

rewrite76.0ms (1.1%)

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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify8.0ms (0.1%)

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

eval209.0ms (3%)

Compiler

Compiled 5504 to 4281 computations (22.2% saved)

prune152.0ms (2.2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New3214325
Fresh022
Picked101
Done257
Total32411335
Error
0b
Counts
335 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.2b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
30.1b
x
✓31.4b
(+.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)))
▶31.4b
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))
✓29.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
✓31.6b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
45.8b
-1
✓59.8b
(+.f64 (+.f64 x 1) -1)
▶31.8b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
✓31.1b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
▶30.2b
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 121 to 99 computations (18.2% saved)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

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))

rewrite66.0ms (1%)

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 log1p.f64 (expm1.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))))))

simplify7.0ms (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

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.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)
✓0.1b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite148.0ms (2.2%)

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 log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 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))))))

simplify129.0ms (1.9%)

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)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
21.0b
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))
0.1b
(*.f64 2/15 (pow.f64 x 5))
0.1b
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
0.0b
(*.f64 -17/315 (pow.f64 x 7))
✓0.0b
(*.f64 -17/315 (pow.f64 x 7))
✓0.1b
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
0.1b
(*.f64 2/15 (pow.f64 x 5))
✓21.0b
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))

series4.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

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

rewrite108.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
693×log-prod_binary64
559×fma-def_binary64
318×fma-neg_binary64
297×expm1-udef_binary64
297×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01645
136645
2442543
Stop Event
1×node limit
Counts
3 → 121
Calls
Call 1
Inputs
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(*.f64 -17/315 (pow.f64 x 7))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/225) (-.f64 (*.f64 2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x)))) (/.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x)) 2) (-.f64 (*.f64 2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x)))) (pow.f64 (cbrt.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x)))) (pow.f64 (exp.f64 2/15) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x))) (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x)))) (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)) (exp.f64 x)) (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 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(pow.f64 x 7))) x) (*.f64 x x))) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 2)) (/.f64 1 (-.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/15) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))) (#(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)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -17/315 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 (pow.f64 x 3)) 1) (*.f64 -17/315 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) (cbrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 -17/315 (pow.f64 x 7)) 3)) (fma.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/3 (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 x 14) 289/99225) (*.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/3 (pow.f64 x 3)) (neg.f64 (*.f64 (pow.f64 x 14) 289/99225))) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -17/315) (pow.f64 x 7)) (exp.f64 (*.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -17/315 (pow.f64 x 7)))) (exp.f64 (*.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -1/3 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (*.f64 -17/315 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -17/315 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -17/315) (pow.f64 x 7))) (cbrt.f64 (pow.f64 (exp.f64 -17/315) (pow.f64 x 7))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -17/315) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -17/315) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -17/315) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -17/315 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -17/315 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -17/315 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -17/315 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -17/315) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 14) 289/99225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -17/315) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -17/315 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -17/315 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -17/315 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -332/315)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log1p.f64 -332/315)) 1))))))

simplify149.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
708×sqr-pow_binary64
674×cube-prod_binary64
624×unswap-sqr_binary64
620×fabs-mul_binary64
488×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022321
160321
2126321
3319321
4592321
51316321
61982321
72949321
83103321
93351321
103670321
114151321
124830321
135724321
146370321
156877321
167282321
177659321
187871321
Stop Event
1×node limit
Counts
145 → 135
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 -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 (*.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 -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 (*.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 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 -17/315 (pow.f64 x 7))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
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 (*.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 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) 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 -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))))
(+.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 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) 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 -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))))
(+.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 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) 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 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(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 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(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 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
0.0b
(/.f64 1 (+.f64 x 2))
0.0b
(/.f64 1 (+.f64 x 2))
✓0.1b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))

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)))

rewrite116.0ms (1.7%)

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 log1p.f64 (expm1.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)))))))))

simplify41.0ms (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
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))))

eval239.0ms (3.5%)

Compiler

Compiled 6523 to 5000 computations (23.3% saved)

prune57.0ms (0.8%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New3628370
Fresh112
Picked101
Done268
Total36615381
Error
0b
Counts
381 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.4b
(+.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)))
60.5b
(+.f64 2 (/.f64 -4 x))
✓29.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
✓31.1b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
59.7b
2
✓31.6b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
45.8b
-1
30.1b
x
✓59.8b
(+.f64 (+.f64 x 1) -1)
✓31.8b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
31.1b
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
31.8b
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
61.5b
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
59.7b
(*.f64 (*.f64 x 2) (/.f64 1 x))
31.4b
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))))
Compiler

Compiled 170 to 139 computations (18.2% saved)

regimes425.0ms (6.2%)

Counts
25 → 3
Calls
Call 1
Inputs
2
x
x
-1
x
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 x 1) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
(*.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 x -1/2)))) -1)
(-.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 2/15 (pow.f64 x 5)) (+.f64 x (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))))
(+.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 2/15 (pow.f64 x 5)) (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -17/315 (pow.f64 x 7)))))
(fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3))))
Outputs
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
Calls

12 calls:

119.0ms
y
118.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
36.0ms
(*.f64 -2 x)
36.0ms
x
35.0ms
(*.f64 -2 x)
Results
ErrorSegmentsBranch
0.0b3x
19.1b10y
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 323 to 259 computations (19.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.300006785085946e-18
16.92680977267758
0.0ms
-247.87055643964013
-0.010634181776499666
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes270.0ms (3.9%)

Counts
21 → 3
Calls
Call 1
Inputs
2
x
x
-1
x
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 x 1) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
(*.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 x -1/2)))) -1)
(-.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 x -1/2)))) -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 x -1/2)))) -1)
Calls

12 calls:

106.0ms
y
33.0ms
(*.f64 -2 x)
31.0ms
(*.f64 -2 x)
29.0ms
x
15.0ms
(exp.f64 (*.f64 -2 x))
Results
ErrorSegmentsBranch
0.0b3x
19.1b10y
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 249 to 201 computations (19.3% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.300006785085946e-18
16.92680977267758
0.0ms
-247.87055643964013
-0.010634181776499666
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes346.0ms (5%)

Counts
20 → 3
Calls
Call 1
Inputs
2
x
x
-1
x
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 x 1) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
(*.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 x -1/2)))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
Calls

12 calls:

128.0ms
y
101.0ms
x
30.0ms
(*.f64 -2 x)
29.0ms
(*.f64 -2 x)
7.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0.1b3x
19.2b10y
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 236 to 191 computations (19.1% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.300006785085946e-18
16.92680977267758
0.0ms
-0.008590706802008873
-4.8712399209755025e-6
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes103.0ms (1.5%)

Counts
18 → 2
Calls
Call 1
Inputs
2
x
x
-1
x
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 x 1) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(*.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/4 x)))
(*.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
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
-1
Calls

4 calls:

42.0ms
y
19.0ms
x
19.0ms
(*.f64 -2 x)
18.0ms
(*.f64 -2 x)
Results
ErrorSegmentsBranch
12.9b2x
26.8b5y
12.9b2(*.f64 -2 x)
12.9b2(*.f64 -2 x)
Compiler

Compiled 144 to 109 computations (24.3% saved)

bsearch55.0ms (0.8%)

Algorithm
1×left-value
Steps
TimeLeftRight
55.0ms
3.300006785085946e-18
16.92680977267758
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes59.0ms (0.9%)

Counts
9 → 3
Calls
Call 1
Inputs
2
x
x
-1
x
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 x 1) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
Outputs
-1
x
(+.f64 2 (/.f64 -4 x))
Calls

2 calls:

30.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
12.6b3x
27.6b5y
Compiler

Compiled 35 to 25 computations (28.6% saved)

bsearch134.0ms (1.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
114.0ms
0.005317090888249833
123.93527821982006
20.0ms
-8.46340488633879
-1.650003392542973e-18
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes33.0ms (0.5%)

Counts
5 → 3
Calls
Call 1
Inputs
2
x
x
-1
x
Outputs
-1
x
2
Calls

2 calls:

20.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
12.6b3x
27.6b5y
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch42.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.005317090888249833
123.93527821982006
21.0ms
-8.46340488633879
-1.650003392542973e-18
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes13.0ms (0.2%)

Accuracy

Total -33.4b remaining (-118.5%)

Threshold costs -33.4b (-118.5%)

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

2 calls:

7.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
28.2b2x
30.1b1y
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch21.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
21.0ms
0.005317090888249833
123.93527821982006
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
6×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060269
178269
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (+.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 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) -92233720368547760/18446744073709551616) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2))) -1)
(if (<=.f64 x -2382236693275063/281474976710656) -1 (if (<=.f64 x 98083014832197664/18446744073709551616) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -2382236693275063/281474976710656) -1 (if (<=.f64 x 98083014832197664/18446744073709551616) x 2))
(if (<=.f64 x 98083014832197664/18446744073709551616) x 2)
2
Outputs
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (+.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 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (+.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 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) -92233720368547760/18446744073709551616) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) -5764607523034235/1152921504606846976) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) 6490371073168535/1298074214633706907132624082305024) (*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2))) -1)
(if (<=.f64 x -2382236693275063/281474976710656) -1 (if (<=.f64 x 98083014832197664/18446744073709551616) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -2382236693275063/281474976710656) -1 (if (<=.f64 x 3065094213506177/576460752303423488) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -2382236693275063/281474976710656) -1 (if (<=.f64 x 98083014832197664/18446744073709551616) x 2))
(if (<=.f64 x -2382236693275063/281474976710656) -1 (if (<=.f64 x 3065094213506177/576460752303423488) x 2))
(if (<=.f64 x 98083014832197664/18446744073709551616) x 2)
(if (<=.f64 x 3065094213506177/576460752303423488) x 2)
2

end121.0ms (1.8%)

Stop Event
1×fuel
Compiler

Compiled 386 to 320 computations (17.1% saved)

Profiling

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