Details

Time bar (total: 6.5s)

analyze38.0ms (0.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%50%0.1%0%50%0%2
0%0%50%0.1%0%50%0%3
0%0%50%0.1%0%50%0%4
25%12.5%37.5%0.1%0%50%0%5
37.5%18.7%31.2%0.1%0%50%0%6
56.3%28.1%21.9%0.1%0%50%0%7
65.6%32.8%17.2%0.1%0%50%0%8
76.2%37.5%11.7%0.1%0.8%50%0%9
81.6%39.8%9%0.1%1.2%50%0%10
87.4%42.1%6%0.1%1.8%50%0%11
90.4%43.3%4.6%0.1%2%50%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.0s (15.3%)

Results
967.0ms8256×body256valid
21.0ms185×body256infinite
Bogosity

preprocess183.0ms (2.8%)

Algorithm
2×egg-herbie
Rules
1532×fma-neg_binary64
1070×fma-def_binary64
478×cancel-sign-sub-inv_binary64
469×div-sub_binary64
416×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02042
14636
210036
320936
444732
584332
6173732
7324532
8461032
9488532
10524732
11591332
12617932
13720732
14741932
15773132
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 y 9))) (/.f64 x (*.f64 3 (sqrt.f64 y))))
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(-.f64 (-.f64 1 (/.f64 y (*.f64 3 (sqrt.f64 x)))) (/.f64 1/9 x))
(+.f64 1 (+.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) (/.f64 -1/9 x)))
(-.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) (/.f64 1/9 x))
(-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 1) (/.f64 1/9 x))
(+.f64 (/.f64 -1/9 x) (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 1))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 y 9))) (/.f64 x (*.f64 3 (sqrt.f64 y))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 9 y)) (/.f64 x (*.f64 3 (sqrt.f64 y)))))
(-.f64 1 (+.f64 (/.f64 1/9 y) (/.f64 x (*.f64 3 (sqrt.f64 y)))))
(+.f64 1 (-.f64 (/.f64 -1/9 y) (/.f64 x (*.f64 3 (sqrt.f64 y)))))
(+.f64 1 (+.f64 (/.f64 -1/9 y) (*.f64 -1/3 (/.f64 x (sqrt.f64 y)))))
(+.f64 1 (fma.f64 -1/3 (/.f64 x (sqrt.f64 y)) (/.f64 -1/9 y)))
(+.f64 1 (fma.f64 (/.f64 x (sqrt.f64 y)) -1/3 (/.f64 -1/9 y)))
(+.f64 1 (fma.f64 x (/.f64 -1/3 (sqrt.f64 y)) (/.f64 -1/9 y)))
Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify50.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
474×fma-neg_binary64
309×fma-def_binary64
227×cancel-sign-sub-inv_binary64
91×associate-/l*_binary64
72×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01321
12718
25618
311418
423616
544416
687116
7157116
8234816
9238016
10240316
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x))))
(-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(+.f64 1 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))

eval1.0ms (0%)

Compiler

Compiled 27 to 20 computations (25.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Compiler

Compiled 29 to 23 computations (20.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
✓0.2b
(fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))
✓0.3b
(/.f64 -1/9 x)
✓0.4b
(/.f64 -1/3 (sqrt.f64 x))
Compiler

Compiled 36 to 22 computations (38.9% saved)

series12.0ms (0.2%)

Counts
4 → 28
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
1.0ms
x
@0
(/.f64 -1/3 (sqrt.f64 x))
1.0ms
x
@-inf
(/.f64 -1/3 (sqrt.f64 x))
1.0ms
y
@-inf
(fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))
1.0ms
x
@-inf
(fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))

rewrite86.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
466×log-prod_binary64
369×exp-prod_binary64
287×pow2_binary64
284×prod-diff_binary64
271×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
123739
2287539
Stop Event
1×node limit
Counts
4 → 162
Calls
Call 1
Inputs
(/.f64 -1/3 (sqrt.f64 x))
(/.f64 -1/9 x)
(fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 x))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (cbrt.f64 (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 x))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 x) -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 1/9 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1/9 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/9 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/9 x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/9 x)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/9 x)) (sqrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/9 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x -1/9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x -1/9) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/9 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/9 x)))) (sqrt.f64 (log.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -1/9 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/9 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x -1/9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1/9 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 x) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 (/.f64 1/9 x)) y (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 1/9 x)) y) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 x)) y) 1) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 x)) y (/.f64 -1/9 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 x)) y (/.f64 -1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 x)) y (/.f64 -1/9 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 x)) y (/.f64 -1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 x)) y (/.f64 -1/9 x)) 1) 1)))) (#(struct:change #<rule 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simplify57.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
458×fma-def_binary64
297×fma-neg_binary64
94×cancel-sign-sub-inv_binary64
54×distribute-rgt-neg-in_binary64
45×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017420
138384
270384
3123384
4191384
5304384
6520384
7808384
81052384
91338384
101480384
111488384
Stop Event
1×saturated
Counts
190 → 172
Calls
Call 1
Inputs
(/.f64 -1/9 x)
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(/.f64 -1/9 x)
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(/.f64 -1/9 x)
1
1
Outputs
(/.f64 -1/9 x)
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(/.f64 -1/9 x)
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))
(+.f64 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) 1) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))
(+.f64 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) 1) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))
(+.f64 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) 1) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))
(+.f64 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) 1) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))
(+.f64 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) 1) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))
(+.f64 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) 1) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))
(+.f64 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) 1) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))
(+.f64 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) 1) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))
(+.f64 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) 1) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x)))
(/.f64 -1/9 x)
1
1

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓0.2b
(/.f64 1 (*.f64 x 9))
✓0.2b
(/.f64 y (*.f64 3 (sqrt.f64 x)))
✓0.3b
(*.f64 3 (sqrt.f64 x))
Compiler

Compiled 48 to 33 computations (31.3% saved)

series13.0ms (0.2%)

Counts
4 → 39
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 y (*.f64 3 (sqrt.f64 x)))
2.0ms
x
@inf
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
1.0ms
y
@0
(/.f64 y (*.f64 3 (sqrt.f64 x)))
1.0ms
x
@-inf
(*.f64 3 (sqrt.f64 x))
1.0ms
x
@0
(*.f64 3 (sqrt.f64 x))

rewrite101.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
661×log-prod_binary64
435×fma-def_binary64
244×log-div_binary64
240×pow1/3_binary64
240×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01343
129037
2413235
Stop Event
1×node limit
Counts
4 → 210
Calls
Call 1
Inputs
(*.f64 3 (sqrt.f64 x))
(/.f64 y (*.f64 3 (sqrt.f64 x)))
(/.f64 1 (*.f64 x 9))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
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1/9 x))) (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))) (+.f64 (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))) (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) (-.f64 1 (/.f64 1/9 x)))))))

simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
354×fma-neg_binary64
290×fma-def_binary64
123×cancel-sign-sub-inv_binary64
47×distribute-rgt-in_binary64
46×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019418
140400
278400
3128400
4178400
5252400
6410400
7686400
81050400
91301400
101466400
111478400
Stop Event
1×saturated
Counts
249 → 221
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))

eval184.0ms (2.8%)

Compiler

Compiled 8080 to 6136 computations (24.1% saved)

prune73.0ms (1.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New37419393
Fresh000
Picked101
Done101
Total37619395
Error
0b
Counts
395 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(-.f64 (-.f64 1 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
40.0b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
▶0.2b
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
0.3b
(+.f64 1 (fma.f64 y (*.f64 1/3 (/.f64 1 (neg.f64 (sqrt.f64 x)))) (/.f64 -1/9 x)))
13.5b
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x)))
20.1b
(+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))))
▶0.5b
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
20.1b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
0.5b
(-.f64 (-.f64 1 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
23.7b
(+.f64 1 (/.f64 -1/9 x))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
▶44.0b
(/.f64 -1/9 x)
11.5b
(fma.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))))
43.1b
1
0.2b
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
▶40.0b
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
23.7b
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
0.3b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
16.9b
(-.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 1/9 x) 3))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Compiler

Compiled 543 to 443 computations (18.4% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
✓0.1b
(sqrt.f64 (*.f64 x 9))
0.2b
(/.f64 1 (*.f64 x 9))
✓0.2b
(/.f64 y (sqrt.f64 (*.f64 x 9)))
Compiler

Compiled 45 to 34 computations (24.4% saved)

series6.0ms (0.1%)

Counts
3 → 27
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 y (sqrt.f64 (*.f64 x 9)))
1.0ms
x
@-inf
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
1.0ms
x
@-inf
(sqrt.f64 (*.f64 x 9))
0.0ms
x
@0
(sqrt.f64 (*.f64 x 9))
0.0ms
y
@0
(/.f64 y (sqrt.f64 (*.f64 x 9)))

rewrite96.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
593×log-prod_binary64
398×fma-def_binary64
317×pow2_binary64
216×pow1/3_binary64
215×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01136
125133
2362131
Stop Event
1×node limit
Counts
3 → 186
Calls
Call 1
Inputs
(/.f64 y (sqrt.f64 (*.f64 x 9)))
(sqrt.f64 (*.f64 x 9))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (pow.f64 (*.f64 x 9) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 9))) (/.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/4) (/.f64 y (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (*.f64 x 9) 1/4)) (/.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 y 3)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (/.f64 y 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 x) (/.f64 y 3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 y 3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9)) (pow.f64 (*.f64 x 9) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 1/6) (cbrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 1/4) (pow.f64 (*.f64 x 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 81) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 9)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) 3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/9 x))) y (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))) 1 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))) (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))) (+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))) (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) (-.f64 1 (/.f64 1/9 x)))))))

simplify56.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
354×fma-neg_binary64
290×fma-def_binary64
121×cancel-sign-sub-inv_binary64
47×distribute-rgt-in_binary64
46×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018370
140352
278352
3128352
4178352
5251352
6409352
7686352
81047352
91298352
101463352
111475352
Stop Event
1×saturated
Counts
213 → 196
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 -1/9 x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(sqrt.f64 (/.f64 1 x))
✓0.3b
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
✓0.4b
(*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)
Compiler

Compiled 27 to 20 computations (25.9% saved)

series6.0ms (0.1%)

Counts
3 → 12
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
1.0ms
x
@-inf
(*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)
0.0ms
x
@-inf
(sqrt.f64 (/.f64 1 x))
0.0ms
y
@0
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
0.0ms
x
@0
(*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)

rewrite67.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
779×pow1_binary64
721×add-log-exp_binary64
721×log1p-expm1-u_binary64
721×expm1-log1p-u_binary64
704×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
118119
2205619
Stop Event
1×node limit
Counts
3 → 51
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(sqrt.f64 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1 x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -1/2)))))))

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
115144
222144
324144
Stop Event
1×saturated
Counts
63 → 53
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Outputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x))))
✓0.1b
(sqrt.f64 (/.f64 1/9 x))
✓0.3b
(*.f64 y (sqrt.f64 (/.f64 1/9 x)))
✓0.3b
(/.f64 1/9 x)
Compiler

Compiled 47 to 34 computations (27.7% saved)

series8.0ms (0.1%)

Counts
4 → 25
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 y (sqrt.f64 (/.f64 1/9 x)))
1.0ms
x
@-inf
(-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x))))
1.0ms
x
@-inf
(sqrt.f64 (/.f64 1/9 x))
0.0ms
x
@0
(sqrt.f64 (/.f64 1/9 x))
0.0ms
x
@inf
(sqrt.f64 (/.f64 1/9 x))

rewrite75.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
987×pow1_binary64
926×add-log-exp_binary64
925×log1p-expm1-u_binary64
925×expm1-log1p-u_binary64
104×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
120734
2289034
Stop Event
1×node limit
Counts
4 → 124
Calls
Call 1
Inputs
(/.f64 1/9 x)
(*.f64 y (sqrt.f64 (/.f64 1/9 x)))
(sqrt.f64 (/.f64 1/9 x))
(-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (neg.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/81 (*.f64 x x))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/81 (*.f64 x x))) (neg.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (cbrt.f64 (/.f64 1/81 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (*.f64 (pow.f64 (/.f64 1/9 x) 1/4) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (pow.f64 (/.f64 1/9 x) 1/4)) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 1/81 (*.f64 x x)))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (cbrt.f64 (/.f64 1/9 x))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (/.f64 1/81 (*.f64 x x)))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/81 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/729 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x 1/9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1/729 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/81 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/81 (*.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 x) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 x) (*.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 x))) y (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (fma.f64 (neg.f64 y) (/.f64 1/3 (sqrt.f64 x)) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (fma.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (cbrt.f64 (*.f64 (/.f64 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(*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (sqrt.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -1/729 (pow.f64 x 3)) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3)) (/.f64 1 (+.f64 (/.f64 1/81 (*.f64 x x)) (+.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1/9 x) 3/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 (/.f64 1/9 x) (*.f64 y y))) (/.f64 1 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/3 (sqrt.f64 x)) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 (/.f64 1/3 (sqrt.f64 x)) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/81 (*.f64 x x)) (+.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1/9 x) 3/2) y))) (-.f64 (/.f64 -1/729 (pow.f64 x 3)) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)) (-.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 (/.f64 1/9 x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -1/729 (pow.f64 x 3)) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3)) (+.f64 (/.f64 1/81 (*.f64 x x)) (+.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1/9 x) 3/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 (/.f64 1/9 x) (*.f64 y y))) (+.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 -1/729 (pow.f64 x 3)) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3))) (neg.f64 (+.f64 (/.f64 1/81 (*.f64 x x)) (+.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1/9 x) 3/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 (/.f64 1/9 x) (*.f64 y y)))) (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -1/729 (pow.f64 x 3)) (pow.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 3)) (+.f64 (/.f64 1/81 (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x))))) (*.f64 (/.f64 1/9 x) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))) (-.f64 (/.f64 1/9 x) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/9 x) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/81 (*.f64 x x))) (cbrt.f64 (/.f64 1/9 x)) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1/9 x) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))))

simplify47.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
269×fma-def_binary64
143×fma-neg_binary64
48×cancel-sign-sub-inv_binary64
47×distribute-rgt-neg-in_binary64
27×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016338
134320
264320
389320
4128320
5198320
6320320
7499320
8658320
9832320
10896320
11900320
Stop Event
1×saturated
Counts
149 → 131
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 3 (sqrt.f64 x))
0.3b
(/.f64 1/9 x)
✓0.6b
(cbrt.f64 (/.f64 1/9 x))
✓0.7b
(pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)
Compiler

Compiled 55 to 39 computations (29.1% saved)

series8.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)
1.0ms
x
@inf
(cbrt.f64 (/.f64 1/9 x))
1.0ms
x
@-inf
(cbrt.f64 (/.f64 1/9 x))

rewrite59.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
569×pow1_binary64
543×add-log-exp_binary64
543×log1p-expm1-u_binary64
543×expm1-log1p-u_binary64
531×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115610
2153310
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)
(cbrt.f64 (/.f64 1/9 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/6) (*.f64 (pow.f64 (/.f64 1/9 x) 1/6) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))) 2) 3) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/9 x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 1/9 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) 1) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (pow.f64 (/.f64 1/9 x) 1/6)) (pow.f64 (/.f64 1/9 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 1/9) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/9) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 1/9)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (pow.f64 (/.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/6) (pow.f64 (/.f64 1/9 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1/3) (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/9) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -1/9) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 1/9)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 1/9 x))))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
60 → 60
Calls
Call 1
Inputs
Outputs

eval245.0ms (3.7%)

Compiler

Compiled 11251 to 8390 computations (25.4% saved)

prune145.0ms (2.2%)

Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New58716603
Fresh11314
Picked101
Done134
Total60022622
Error
0b
Counts
622 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))))
40.0b
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
▶23.7b
(-.f64 1 (/.f64 1/9 x))
11.4b
(+.f64 1 (-.f64 (neg.f64 (sqrt.f64 (/.f64 1/81 (*.f64 x x)))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
✓0.2b
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
44.0b
(pow.f64 (/.f64 x -1/9) -1)
43.1b
1
26.9b
(+.f64 1 (/.f64 (neg.f64 (-.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 (/.f64 1/9 x) (*.f64 y y)))) (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))
20.1b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
23.7b
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
44.0b
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
✓44.0b
(/.f64 -1/9 x)
40.0b
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
▶40.0b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
40.0b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
44.2b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
✓0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
0.3b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
40.0b
(*.f64 y (*.f64 (/.f64 1 (sqrt.f64 x)) -1/3))
▶40.0b
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
▶0.2b
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
Compiler

Compiled 479 to 380 computations (20.7% saved)

localize108.0ms (1.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
0.3b
(/.f64 -1/9 x)
✓0.3b
(*.f64 y -1/3)
Compiler

Compiled 34 to 25 computations (26.5% saved)

series24.0ms (0.4%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
8.0ms
x
@0
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
5.0ms
y
@0
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
3.0ms
x
@-inf
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
3.0ms
y
@-inf
(*.f64 y -1/3)
2.0ms
x
@inf
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))

rewrite68.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
498×log-prod_binary64
307×pow2_binary64
284×pow-prod-down_binary64
249×prod-diff_binary64
211×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
125821
2301821
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(*.f64 y -1/3)
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 y -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 y -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 y -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y -1/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y -1/3)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/9 x) 1) (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))) (+.f64 (/.f64 -1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))) 1) (+.f64 (/.f64 -1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (*.f64 y (pow.f64 x -1/2)) 1) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)) 2) (cbrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)) (sqrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y -1/3) 3) (pow.f64 x -3/2)) (pow.f64 (+.f64 (/.f64 -1/9 x) 1) 3)) (+.f64 (pow.f64 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 -1/9 x) 1) 2) (*.f64 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))) (+.f64 (/.f64 -1/9 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))) 2) (pow.f64 (+.f64 (/.f64 -1/9 x) 1) 2)) (-.f64 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))) (+.f64 (/.f64 -1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 -1/9 x) 1)) (pow.f64 (exp.f64 y) (*.f64 -1/3 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/9 x) 1))) (pow.f64 (exp.f64 y) (*.f64 -1/3 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (*.f64 -1/3 (pow.f64 x -1/2))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/9 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x)) 1)) 1) 1))))))

simplify58.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
832×times-frac_binary64
457×fma-def_binary64
344×distribute-rgt-neg-in_binary64
321×*-commutative_binary64
314×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
030491
173451
2156451
3337451
4813451
52299407
Stop Event
1×node limit
Counts
93 → 70
Calls
Call 1
Inputs
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(/.f64 -1/9 x)
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (/.f64 1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (pow.f64 x -1/2))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (pow.f64 x -1/2))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(/.f64 -1/9 x)
(/.f64 1/9 x)
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(fma.f64 -1/3 (*.f64 y (pow.f64 x -1/2)) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(+.f64 1 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y)))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(fma.f64 -1/3 (*.f64 y (pow.f64 x -1/2)) 1)
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) y))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/9 x))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) (/.f64 1/9 x)))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1/9 x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
0.4b
(/.f64 -1/3 (sqrt.f64 x))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
0.0ms
x
@inf
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
0.0ms
x
@0
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
0.0ms
y
@0
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
0.0ms
y
@inf
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))

rewrite84.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
689×pow1_binary64
643×add-log-exp_binary64
643×log1p-expm1-u_binary64
643×expm1-log1p-u_binary64
629×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11489
217789
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y -1/3)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y -1/3) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y -1/3) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y -1/3) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 y) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/3 (sqrt.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))))))

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
115144
222144
324144
Stop Event
1×saturated
Counts
34 → 24
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Outputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(sqrt.f64 (/.f64 1 x))
✓0.3b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
✓0.3b
(*.f64 -1/3 y)
Compiler

Compiled 24 to 17 computations (29.2% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

9 calls:

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

rewrite79.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
777×pow1_binary64
719×add-log-exp_binary64
719×log1p-expm1-u_binary64
719×expm1-log1p-u_binary64
703×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0916
118113
2205113
Stop Event
1×node limit
Counts
2 → 25
Calls
Call 1
Inputs
(*.f64 -1/3 y)
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/3 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/3 (sqrt.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/3 y) 3) (/.f64 (pow.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 (*.f64 -1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))))))

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
115144
222144
324144
Stop Event
1×saturated
Counts
37 → 27
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Outputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (*.f64 (/.f64 1 x) 1/9))
✓0.3b
(*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))
0.3b
(/.f64 1/9 x)
✓0.4b
(*.f64 (/.f64 1 x) 1/9)
Compiler

Compiled 63 to 48 computations (23.8% saved)

series4.0ms (0.1%)

Counts
3 → 24
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (/.f64 1 x) 1/9)
0.0ms
x
@inf
(*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))
0.0ms
x
@-inf
(*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))
0.0ms
x
@0
(*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 (/.f64 1 x) 1/9))

rewrite71.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
763×pow1_binary64
708×add-log-exp_binary64
708×log1p-expm1-u_binary64
708×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
118119
2202619
Stop Event
1×node limit
Counts
3 → 55
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) 1/9)
(*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))
(sqrt.f64 (*.f64 (/.f64 1 x) 1/9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/9 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/9 x) 3/2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))))))))

simplify20.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011192
117192
224192
326192
Stop Event
1×saturated
Counts
79 → 57
Calls
Call 1
Inputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Outputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))

eval299.0ms (4.6%)

Compiler

Compiled 4869 to 3776 computations (22.4% saved)

prune81.0ms (1.2%)

Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New34210352
Fresh6814
Picked011
Done167
Total34925374
Error
0b
Counts
374 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
40.0b
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
44.2b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
✓0.2b
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))))
✓23.7b
(-.f64 1 (/.f64 1/9 x))
✓0.2b
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
40.0b
(/.f64 y (*.f64 (sqrt.f64 x) -3))
44.0b
(pow.f64 (/.f64 x -1/9) -1)
43.1b
1
26.9b
(+.f64 1 (/.f64 (neg.f64 (-.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 (/.f64 1/9 x) (*.f64 y y)))) (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))
32.5b
(-.f64 1 (sqrt.f64 (/.f64 1/81 (*.f64 x x))))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
44.0b
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
✓44.0b
(/.f64 -1/9 x)
▶23.7b
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
▶40.0b
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
40.0b
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
✓40.0b
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
✓0.2b
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
▶20.1b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
▶62.1b
(/.f64 1/9 x)
43.1b
(+.f64 1 (/.f64 1/9 x))
43.1b
(-.f64 1 (*.f64 -1/9 (/.f64 1 x)))
▶0.3b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
40.0b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Compiler

Compiled 445 to 353 computations (20.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b
(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b
(*.f64 3 (sqrt.f64 x))
0.3b
(/.f64 1/9 x)
Compiler

Compiled 39 to 25 computations (35.9% saved)

series2.0ms (0%)

Counts
1 → 15
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.0ms
x
@-inf
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.0ms
x
@inf
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.0ms
y
@-inf
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.0ms
y
@0
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

rewrite79.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
619×log-prod_binary64
425×fma-def_binary64
341×pow2_binary64
240×log-div_binary64
232×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01218
127218
2386116
Stop Event
1×node limit
Counts
1 → 119
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
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simplify48.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
356×fma-neg_binary64
292×fma-def_binary64
121×cancel-sign-sub-inv_binary64
47×distribute-rgt-in_binary64
46×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016226
135208
266208
3114208
4164208
5239208
6401208
7684208
81047208
91298208
101463208
111475208
Stop Event
1×saturated
Counts
134 → 127
Calls
Call 1
Inputs
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1) (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1) (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1) (/.f64 -1/9 x))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1) (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1) (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1) (/.f64 -1/9 x))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1) (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1) (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 y (*.f64 -1/3 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1) (/.f64 -1/9 x))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1/9 x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (/.f64 1 x) 1/9)
Compiler

Compiled 20 to 16 computations (20% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
✓0.4b
(*.f64 (pow.f64 x -1/2) -1/3)
Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

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

rewrite56.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
741×pow1_binary64
689×add-log-exp_binary64
689×log1p-expm1-u_binary64
689×expm1-log1p-u_binary64
674×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116817
2189217
Stop Event
1×node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -1/2) -1/3)
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x -1/2) -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -1/2) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -1/2) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -1/2) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -1/2) -1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/9 (pow.f64 x -1)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) -1/3) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 (pow.f64 x -1/2) -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))))))))

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
115144
222144
324144
Stop Event
1×saturated
Counts
36 → 26
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Outputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
0.2b
(sqrt.f64 (/.f64 1 x))
✓0.3b
(*.f64 y (sqrt.f64 (/.f64 1 x)))
✓0.3b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Compiler

Compiled 37 to 27 computations (27% saved)

series7.0ms (0.1%)

Counts
3 → 5
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 y (sqrt.f64 (/.f64 1 x)))
0.0ms
x
@inf
(*.f64 y (sqrt.f64 (/.f64 1 x)))
0.0ms
x
@-inf
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
0.0ms
y
@-inf
(*.f64 y (sqrt.f64 (/.f64 1 x)))
0.0ms
x
@0
(*.f64 y (sqrt.f64 (/.f64 1 x)))

rewrite77.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
463×log-prod_binary64
452×prod-diff_binary64
354×exp-prod_binary64
303×fma-def_binary64
281×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
121125
2259925
Stop Event
1×node limit
Counts
3 → 117
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 y (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 y (sqrt.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/3 y) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) 2) (cbrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) (sqrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) -1/27 1) (/.f64 1 (fma.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) -1)))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) (/.f64 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2) (-.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) 2) (cbrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) (sqrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) -1/27 1) (/.f64 1 (fma.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) -1) 1) (fma.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) -1/27 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (-.f64 1 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) -1/27 1) (fma.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) -1/27 1) (fma.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 2) 1/9 (-.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2)) (-.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) -1/27 1)) (neg.f64 (fma.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2))) (neg.f64 (-.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 2) 1/9 -1) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) -1) 1) (fma.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) -1/27 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (-.f64 1 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))) (sqrt.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (pow.f64 x -1/2) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 -1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 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(2) ((x fma.f64 (*.f64 -1/3 (pow.f64 x -1/2)) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 2))) (cbrt.f64 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (sqrt.f64 (/.f64 y (sqrt.f64 x)))) (sqrt.f64 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/3 y) (/.f64 1 (cbrt.f64 x))) (pow.f64 x -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/3 y) (pow.f64 x -1/4)) (pow.f64 x -1/4) 1)))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11527
22227
32427
Stop Event
1×saturated
Counts
122 → 120
Calls
Call 1
Inputs
1
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
1
1
Outputs
1
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
1
1

eval332.0ms (5.1%)

Compiler

Compiled 7776 to 5315 computations (31.6% saved)

prune173.0ms (2.6%)

Pruning

27 alts after pruning (17 fresh and 10 done)

PrunedKeptTotal
New4498457
Fresh4913
Picked101
Done11011
Total45527482
Error
0b
Counts
482 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
✓62.1b
(/.f64 1/9 x)
23.7b
(-.f64 1 (/.f64 1 (/.f64 x 1/9)))
62.1b
(*.f64 (/.f64 1 x) 1/9)
40.0b
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
44.2b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
23.8b
(-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x)))
✓0.2b
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))))
✓23.7b
(-.f64 1 (/.f64 1/9 x))
43.1b
1
40.0b
(/.f64 y (*.f64 (sqrt.f64 x) -3))
44.0b
(pow.f64 (/.f64 x -1/9) -1)
32.5b
(-.f64 1 (sqrt.f64 (/.f64 1/81 (*.f64 x x))))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
✓23.7b
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
✓40.0b
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
✓44.0b
(/.f64 -1/9 x)
40.0b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
20.1b
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
40.0b
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
44.0b
(*.f64 -1/9 (/.f64 1 x))
✓40.0b
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
26.9b
(+.f64 1 (/.f64 (neg.f64 (-.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 (/.f64 1/9 x) (*.f64 y y)))) (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))
43.1b
(+.f64 1 (/.f64 1/9 x))
✓0.3b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(+.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
62.1b
(pow.f64 (/.f64 x 1/9) -1)
✓0.2b
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
Compiler

Compiled 268 to 215 computations (19.8% saved)

regimes490.0ms (7.5%)

Counts
55 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (/.f64 1/9 x))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 1 (/.f64 x 1/9)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 1 (*.f64 -1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (/.f64 x 1/9) -1)
(pow.f64 (/.f64 x -1/9) -1)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(-.f64 1 (sqrt.f64 (/.f64 1/81 (*.f64 x x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (/.f64 1 (sqrt.f64 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))))
(+.f64 1 (/.f64 (neg.f64 (-.f64 (/.f64 1/81 (*.f64 x x)) (*.f64 (/.f64 1/9 x) (*.f64 y y)))) (-.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
(-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
(fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (+.f64 (/.f64 -1/9 x) 1))
(+.f64 1 (fma.f64 y (*.f64 1/3 (/.f64 1 (neg.f64 (sqrt.f64 x)))) (/.f64 -1/9 x)))
(+.f64 1 (-.f64 (neg.f64 (sqrt.f64 (/.f64 1/81 (*.f64 x x)))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
(-.f64 (-.f64 1 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 1/9 x) 3))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(fma.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x)))
(-.f64 (-.f64 1 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
Calls

4 calls:

154.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
153.0ms
y
76.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
48.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
0.2b1(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b1(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Compiler

Compiled 573 to 422 computations (26.4% saved)

regimes90.0ms (1.4%)

Counts
38 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (/.f64 1/9 x))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 1 (/.f64 x 1/9)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 1 (*.f64 -1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (/.f64 x 1/9) -1)
(pow.f64 (/.f64 x -1/9) -1)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(-.f64 1 (sqrt.f64 (/.f64 1/81 (*.f64 x x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (/.f64 1 (sqrt.f64 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
Outputs
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
Calls

2 calls:

36.0ms
x
35.0ms
y
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
Compiler

Compiled 269 to 201 computations (25.3% saved)

regimes102.0ms (1.6%)

Counts
37 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (/.f64 1/9 x))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 1 (/.f64 x 1/9)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 1 (*.f64 -1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (/.f64 x 1/9) -1)
(pow.f64 (/.f64 x -1/9) -1)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(-.f64 1 (sqrt.f64 (/.f64 1/81 (*.f64 x x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (/.f64 1 (sqrt.f64 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Calls

2 calls:

47.0ms
x
35.0ms
y
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
Compiler

Compiled 256 to 191 computations (25.4% saved)

regimes88.0ms (1.3%)

Counts
36 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (/.f64 1/9 x))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 1 (/.f64 x 1/9)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 1 (*.f64 -1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (/.f64 x 1/9) -1)
(pow.f64 (/.f64 x -1/9) -1)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(-.f64 1 (sqrt.f64 (/.f64 1/81 (*.f64 x x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (/.f64 1 (sqrt.f64 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
Outputs
(+.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
Calls

2 calls:

36.0ms
y
33.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
Compiler

Compiled 244 to 183 computations (25% saved)

regimes307.0ms (4.7%)

Counts
35 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (/.f64 1/9 x))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 1 (/.f64 x 1/9)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 1 (*.f64 -1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (/.f64 x 1/9) -1)
(pow.f64 (/.f64 x -1/9) -1)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(-.f64 1 (sqrt.f64 (/.f64 1/81 (*.f64 x x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (/.f64 1 (sqrt.f64 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
Outputs
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
Calls

2 calls:

189.0ms
x
100.0ms
y
Results
ErrorSegmentsBranch
10.7b2x
1.8b3y
Compiler

Compiled 232 to 175 computations (24.6% saved)

bsearch103.0ms (1.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
36.0ms
9.783275766003293e+50
1.0143762566491528e+55
67.0ms
-6.0312996875384626e+69
-1.2175070824656802e+63
Compiler

Compiled 21 to 17 computations (19% saved)

regimes239.0ms (3.6%)

Counts
22 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (/.f64 1/9 x))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 1 (/.f64 x 1/9)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 1 (*.f64 -1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (/.f64 x 1/9) -1)
(pow.f64 (/.f64 x -1/9) -1)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
(*.f64 y (*.f64 (pow.f64 x -1/2) -1/3))
Outputs
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
(-.f64 1 (/.f64 1/9 x))
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
Calls

2 calls:

194.0ms
y
37.0ms
x
Results
ErrorSegmentsBranch
21.1b3x
4.1b3y
Compiler

Compiled 118 to 90 computations (23.7% saved)

bsearch52.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
1.0143762566491528e+55
1.9255172956791628e+58
27.0ms
-6.0312996875384626e+69
-1.2175070824656802e+63
Compiler

Compiled 21 to 17 computations (19% saved)

regimes62.0ms (1%)

Counts
20 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (/.f64 1/9 x))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 1 (/.f64 x 1/9)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 1 (*.f64 -1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (/.f64 x 1/9) -1)
(pow.f64 (/.f64 x -1/9) -1)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(*.f64 y (/.f64 -1/3 (sqrt.f64 x)))
Outputs
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(-.f64 1 (/.f64 1/9 x))
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
Calls

2 calls:

30.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
21.1b3x
4.1b3y
Compiler

Compiled 104 to 80 computations (23.1% saved)

bsearch47.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
1.0143762566491528e+55
1.9255172956791628e+58
23.0ms
-6.0312996875384626e+69
-1.2175070824656802e+63
Compiler

Compiled 21 to 17 computations (19% saved)

regimes25.0ms (0.4%)

Counts
17 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (/.f64 1/9 x))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (/.f64 1 (/.f64 x 1/9)))
(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
(-.f64 1 (*.f64 -1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (/.f64 x 1/9) -1)
(pow.f64 (/.f64 x -1/9) -1)
Outputs
(-.f64 1 (/.f64 1/9 x))
Calls

2 calls:

10.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
23.7b1x
23.7b1y
Compiler

Compiled 86 to 70 computations (18.6% saved)

regimes81.0ms (1.2%)

Counts
8 → 2
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) 1/9)
(*.f64 -1/9 (/.f64 1 x))
(+.f64 1 (/.f64 1/9 x))
Outputs
(/.f64 -1/9 x)
1
Calls

2 calls:

69.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
24.3b2x
36.4b5y
Compiler

Compiled 32 to 25 computations (21.9% saved)

bsearch24.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
0.011355227679499143
0.03835018144622592
Compiler

Compiled 21 to 17 computations (19% saved)

regimes10.0ms (0.1%)

Accuracy

Total -19.2b remaining (-44.5%)

Threshold costs -19.2b (-44.5%)

Counts
4 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
Outputs
1
Calls

2 calls:

5.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
43.1b1x
43.1b1y
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify41.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
22×+-commutative_binary64
17×*-commutative_binary64
17×sub-neg_binary64
11×neg-sub0_binary64
11×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055212
191212
2129212
3160212
4174212
5178212
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 978327576600329345264587599658480407764093047406592) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)) (if (<=.f64 y 10143762566491527549896880960172912462263161256083980288) (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 10143762566491527549896880960172912462263161256083980288) (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(-.f64 1 (/.f64 1/9 x))
(if (<=.f64 x 3272921545350367/288230376151711744) (/.f64 -1/9 x) 1)
1
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(+.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 978327576600329345264587599658480407764093047406592) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (if (<=.f64 y 978327576600329345264587599658480407764093047406592) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))))
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)) (if (<=.f64 y 10143762566491527549896880960172912462263161256083980288) (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (*.f64 (*.f64 y -1/3) (pow.f64 x -1/2)) (if (<=.f64 y 10143762566491527549896880960172912462263161256083980288) (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 10143762566491527549896880960172912462263161256083980288) (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(if (<=.f64 y -6031299687538462614705869765457899646592370292449471736795629298384896) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 10143762566491527549896880960172912462263161256083980288) (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(if (<=.f64 x 3272921545350367/288230376151711744) (/.f64 -1/9 x) 1)
1
Compiler

Compiled 164 to 126 computations (23.2% saved)

soundness0.0ms (0%)

end127.0ms (1.9%)

Compiler

Compiled 146 to 104 computations (28.8% saved)

Profiling

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