Details

Time bar (total: 8.4s)

analyze39.0ms (0.5%)

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)

sample1.5s (17.8%)

Results
1.4s8256×body256valid
21.0ms181×body256infinite
Bogosity

preprocess178.0ms (2.1%)

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)

simplify47.0ms (0.6%)

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
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶0.3b
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
Compiler

Compiled 29 to 23 computations (20.7% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 22 computations (38.9% saved)

series11.0ms (0.1%)

Counts
3 → 13
Calls

12 calls:

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

rewrite87.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
893×pow1_binary64
833×add-log-exp_binary64
833×log1p-expm1-u_binary64
833×expm1-log1p-u_binary64
815×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119423
2228923
Stop Event
1×node limit
Counts
3 → 61
Calls
Call 1
Inputs
(/.f64 -1/9 x)
(/.f64 -1/3 (sqrt.f64 x))
(fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.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 (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)) (cbrt.f64 (pow.f64 (/.f64 -1/9 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (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 -9) -1)))) (#(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 (/.f64 -1/3 (sqrt.f64 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 (/.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 (sqrt.f64 (/.f64 -1/3 (sqrt.f64 x))) (sqrt.f64 (/.f64 -1/3 (sqrt.f64 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 (/.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 pow.f64 (*.f64 (sqrt.f64 x) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 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 -1/3 (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 -1/9 x) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 1) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 2) (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) (sqrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3) (pow.f64 (/.f64 -1/9 x) 3)) (+.f64 (*.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (-.f64 (pow.f64 (/.f64 -1/9 x) 2) (*.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (pow.f64 (/.f64 -1/9 x) 2)) (-.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))))

simplify36.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
269×fma-def_binary64
143×fma-neg_binary64
49×distribute-rgt-neg-in_binary64
46×cancel-sign-sub-inv_binary64
27×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014194
129176
252176
375176
4116176
5193176
6315176
7495176
8651176
9825176
10889176
11893176
Stop Event
1×saturated
Counts
74 → 66
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)
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 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.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 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.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 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.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 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(-.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 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.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 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.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 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.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 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(-.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 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.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 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.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 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(/.f64 -1/9 x)

localize20.0ms (0.2%)

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

Compiled 48 to 33 computations (31.3% saved)

series12.0ms (0.1%)

Counts
4 → 39
Calls

18 calls:

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

rewrite102.0ms (1.2%)

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
2413335
Stop Event
1×node limit
Counts
4 → 210
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x 9))
(*.f64 3 (sqrt.f64 x))
(/.f64 y (*.f64 3 (sqrt.f64 x)))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (exp.f64 (sqrt.f64 x)))) (sqrt.f64 x))))) (#(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 3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (sqrt.f64 x)))))) (#(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 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 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 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 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 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1/3 (sqrt.f64 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 1/3 (sqrt.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/3) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 3) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 3) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (#(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 *.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (/.f64 x 1/9))) (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x 1/9))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 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 pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) 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) (/.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 exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.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 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 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 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 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 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x))) (fma.f64 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1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (+.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (*.f64 y (/.f64 1/3 (sqrt.f64 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 (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))))))

simplify59.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
019418
140400
278400
3128400
4178400
5252400
6409400
7687400
81051400
91302400
101467400
111479400
Stop Event
1×saturated
Counts
249 → 221
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))))
(/.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)
(/.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 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 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 (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 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 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 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 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 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 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -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 (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 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 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 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 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 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 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -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 (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 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 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 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 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))

eval167.0ms (2%)

Compiler

Compiled 6136 to 4299 computations (29.9% saved)

prune132.0ms (1.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New26918287
Fresh000
Picked101
Done011
Total27019289
Error
0b
Counts
289 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (/.f64 x 1/9))))
▶43.8b
(/.f64 -1/9 x)
12.2b
(fma.f64 (-.f64 1 (pow.f64 (/.f64 x 1/9) -2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))
0.4b
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓0.3b
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1))
▶0.5b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
▶0.5b
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶38.4b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
0.3b
(+.f64 1 (+.f64 (/.f64 -1/9 x) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))
25.2b
(+.f64 1 (/.f64 -1/9 x))
38.6b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3))))
25.2b
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
44.8b
1
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y 1/3)))
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
20.5b
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
0.4b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 3 (sqrt.f64 x))))))
Compiler

Compiled 518 to 423 computations (18.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (/.f64 x 1/9))
✓0.2b
(/.f64 y (sqrt.f64 (/.f64 x 1/9)))
0.3b
(/.f64 1 (*.f64 x 9))
✓0.4b
(/.f64 x 1/9)
Compiler

Compiled 49 to 37 computations (24.5% saved)

series5.0ms (0.1%)

Counts
3 → 24
Calls

12 calls:

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

rewrite90.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
762×pow1_binary64
720×add-log-exp_binary64
720×log1p-expm1-u_binary64
720×expm1-log1p-u_binary64
705×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115519
2195819
Stop Event
1×node limit
Counts
3 → 87
Calls
Call 1
Inputs
(/.f64 x 1/9)
(/.f64 y (sqrt.f64 (/.f64 x 1/9)))
(sqrt.f64 (/.f64 x 1/9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9)) (pow.f64 (cbrt.f64 (*.f64 x 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3)) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) (cbrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 1/4) (*.f64 (pow.f64 (*.f64 x 9) 1/4) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (pow.f64 (*.f64 x 9) 1/4)) (pow.f64 (*.f64 x 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 9)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (*.f64 x 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (cbrt.f64 (/.f64 (*.f64 y y) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y y) (*.f64 x 9))) (cbrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) (sqrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 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 1 (cbrt.f64 (*.f64 x 9))) (/.f64 y (cbrt.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 9))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (cbrt.f64 (*.f64 y y)) (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 (/.f64 y (sqrt.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (sqrt.f64 x) 3)) (cbrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9)) (cbrt.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(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 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 9))))))) (#(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 *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 x)) -1/3)))) (#(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 (pow.f64 (*.f64 x 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3)) 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 (exp.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)))))))

simplify208.0ms (2.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011192
118192
225192
327192
Stop Event
1×saturated
Counts
111 → 89
Calls
Call 1
Inputs
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 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 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 9 x)
(*.f64 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))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (/.f64 1 x))
✓0.3b
(*.f64 y -1/3)
✓0.3b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
Compiler

Compiled 24 to 17 computations (29.2% saved)

series6.0ms (0.1%)

Counts
3 → 24
Calls

12 calls:

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

rewrite68.0ms (0.8%)

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
0922
118117
2205617
Stop Event
1×node limit
Counts
3 → 51
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(*.f64 y -1/3)
(sqrt.f64 (/.f64 1 x))
Outputs
((#(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 /.f64 (*.f64 y -1/3) (sqrt.f64 x))))) (#(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 (exp.f64 (*.f64 -1/3 (/.f64 y (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 (/.f64 (pow.f64 x -1/2) x) (pow.f64 (*.f64 y -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y -1/3) 3) (/.f64 (pow.f64 x -1/2) x)))))) (#(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 (*.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 (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 (pow.f64 (exp.f64 -1/3) y))))) (#(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 -.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)))))))

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
010192
116192
222192
323192
Stop Event
1×saturated
Counts
75 → 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))))
(*.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)
Outputs
(*.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 -1/3 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)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
0.3b
(/.f64 1 (*.f64 x 9))
✓0.3b
(/.f64 y (sqrt.f64 x))
✓0.5b
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
Compiler

Compiled 48 to 30 computations (37.5% saved)

series41.0ms (0.5%)

Counts
3 → 39
Calls

18 calls:

TimeVariablePointExpression
31.0ms
x
@0
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
1.0ms
x
@-inf
(/.f64 y (sqrt.f64 x))
1.0ms
x
@inf
(/.f64 y (sqrt.f64 x))
1.0ms
y
@-inf
(/.f64 y (sqrt.f64 x))
1.0ms
x
@0
(/.f64 y (sqrt.f64 x))

rewrite196.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
679×log-prod_binary64
369×pow2_binary64
365×fma-def_binary64
254×pow1/3_binary64
253×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01336
129733
2404731
Stop Event
1×node limit
Counts
3 → 172
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 1/3 (/.f64 y (sqrt.f64 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 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (*.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 y)) (neg.f64 (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 /.f64 (/.f64 (*.f64 1/3 y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 y) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1/3) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 y)) (neg.f64 (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 (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 (/.f64 (sqrt.f64 x) (*.f64 1/3 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 1/3 y) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.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 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))))))
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simplify123.0ms (1.5%)

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
018478
140460
278460
3128460
4178460
5251460
6409460
7686460
81047460
91298460
101463460
111475460
Stop Event
1×saturated
Counts
211 → 183
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 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.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 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(/.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)))

localize76.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 3 (sqrt.f64 x))
✓0.4b
(/.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)

series14.0ms (0.2%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)
2.0ms
x
@0
(cbrt.f64 (/.f64 1/9 x))
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)
1.0ms
x
@inf
(cbrt.f64 (/.f64 1/9 x))

rewrite97.0ms (1.2%)

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
0714
115614
2153314
Stop Event
1×node limit
Counts
3 → 88
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)
(cbrt.f64 (/.f64 1/9 x))
(/.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))))))))
((#(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 pow.f64 (/.f64 1/9 x) 1)))) (#(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 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) 3/2)))) (#(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 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(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)))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
88 → 66
Calls
Call 1
Inputs
Outputs

eval214.0ms (2.5%)

Compiler

Compiled 8935 to 6340 computations (29% saved)

prune88.0ms (1%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New47914493
Fresh9413
Picked101
Done325
Total49220512
Error
0b
Counts
512 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 (*.f64 1/3 y) (pow.f64 x 1/4)) (pow.f64 x 1/4)))
38.7b
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
53.2b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/9 x) 2)) (cbrt.f64 (/.f64 -1/9 x)))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 1/3 y))))
0.5b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
0.4b
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓0.3b
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
▶44.0b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
38.6b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
25.2b
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
38.3b
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))
43.8b
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
43.8b
(pow.f64 (*.f64 x -9) -1)
44.8b
1
▶38.3b
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
✓43.8b
(/.f64 -1/9 x)
38.4b
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶20.5b
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
▶25.2b
(-.f64 1 (/.f64 1/9 x))
Compiler

Compiled 415 to 339 computations (18.3% saved)

localize17.0ms (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))
0.4b
(/.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
@-inf
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))

rewrite84.0ms (1%)

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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(/.f64 -1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (+.f64 (*.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 fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))) (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (+.f64 1 (/.f64 -1/9 x)))))))

simplify88.0ms (1.1%)

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))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite76.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
746×pow1_binary64
698×add-log-exp_binary64
698×log1p-expm1-u_binary64
698×expm1-log1p-u_binary64
683×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11479
218789
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
Outputs
((#(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 *.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -1/3) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x)) (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/3)) 2) (*.f64 (cbrt.f64 (*.f64 y -1/3)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y -1/3)) (*.f64 (sqrt.f64 (*.f64 y -1/3)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/3) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 y -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 -1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y -1/3)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y -1/3)) 1) (/.f64 (sqrt.f64 (*.f64 y -1/3)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 x)) (/.f64 -1/3 (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (cbrt.f64 x)) (/.f64 y (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 y -1/3) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/3)) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y -1/3)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 y -1/3)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 x 1/4)) (/.f64 -1/3 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (*.f64 y -1/3) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/3)) 2) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (*.f64 y -1/3)) (pow.f64 x 1/4)))))) (#(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 pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y -1/3) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/3 (/.f64 y (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 y -1/3) 3) (pow.f64 x 3/2)))))) (#(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)))))))))

simplify11.0ms (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
09144
115144
222144
324144
Stop Event
1×saturated
Counts
53 → 43
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))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 1 x))
✓0.3b
(*.f64 -1/3 y)
✓0.3b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
Compiler

Compiled 34 to 25 computations (26.5% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

9 calls:

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

rewrite59.0ms (0.7%)

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 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 y)
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 (*.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 (/.f64 (pow.f64 x -1/2) x) (pow.f64 (*.f64 -1/3 y) 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 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 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 (*.f64 1/9 (*.f64 y y)))))) (#(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)))))))

simplify14.0ms (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))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.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 18 to 14 computations (22.2% saved)

series36.0ms (0.4%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
30.0ms
x
@-inf
(cbrt.f64 (/.f64 -1/9 x))
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
1.0ms
x
@0
(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
@0
(cbrt.f64 (/.f64 -1/9 x))

rewrite60.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115610
2155210
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 (sqrt.f64 (/.f64 -1/9 x)) (sqrt.f64 (/.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 (/.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 (sqrt.f64 (/.f64 -1/9 x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 -1/9 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))))))))

simplify214.0ms (2.6%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval312.0ms (3.7%)

Compiler

Compiled 6519 to 4553 computations (30.2% saved)

prune84.0ms (1%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New37515390
Fresh11213
Picked011
Done156
Total38723410
Error
0b
Counts
410 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
44.8b
1
0.5b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
12.2b
(fma.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 (neg.f64 y) (/.f64 1/3 (sqrt.f64 x))))
▶43.8b
(*.f64 (/.f64 1 x) -1/9)
▶38.6b
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
43.9b
(/.f64 (/.f64 -1/9 (sqrt.f64 x)) (sqrt.f64 x))
38.4b
(*.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))
43.8b
(/.f64 1 (*.f64 x -9))
▶20.4b
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
✓0.3b
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
✓44.0b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
25.2b
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
14.3b
(/.f64 (-.f64 (*.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (/.f64 1/9 x)) y)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 3 (sqrt.f64 x))))
25.4b
(-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2))
✓43.8b
(/.f64 -1/9 x)
38.3b
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
38.6b
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
✓0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 1/3 y))))
✓25.2b
(-.f64 1 (/.f64 1/9 x))
▶38.4b
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (*.f64 y -1/3) (pow.f64 x 1/4)))
20.4b
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
✓38.3b
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
Compiler

Compiled 464 to 371 computations (20% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 1/3 y)
0.3b
(/.f64 1 (*.f64 x 9))
✓0.3b
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 1/3 y)))
✓0.4b
(/.f64 (sqrt.f64 x) (*.f64 1/3 y))
Compiler

Compiled 57 to 40 computations (29.8% saved)

series8.0ms (0.1%)

Counts
3 → 24
Calls

15 calls:

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

rewrite80.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
905×pow1_binary64
843×add-log-exp_binary64
843×log1p-expm1-u_binary64
843×expm1-log1p-u_binary64
824×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
118822
2236322
Stop Event
1×node limit
Counts
3 → 94
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 x) (*.f64 1/3 y))
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 1/3 y)))
(*.f64 1/3 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (/.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 x) (/.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))) (cbrt.f64 (/.f64 x (*.f64 (*.f64 y y) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 (*.f64 y y) 1/9))) (cbrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (/.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))) (sqrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) 1/3) (/.f64 (cbrt.f64 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) 1/3) (/.f64 (pow.f64 x 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) y) (/.f64 (pow.f64 x 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (cbrt.f64 (sqrt.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) (*.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 1/3 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 y)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) (pow.f64 (cbrt.f64 (*.f64 1/3 y)) 2)) (/.f64 (pow.f64 x 1/4) (cbrt.f64 (*.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 1/3 y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 1/3 y))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y)) 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 (sqrt.f64 x) (/.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 x (*.f64 (*.f64 y y) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))))))))
((#(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 *.f64 1/3 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 y) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) 2) (cbrt.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 (/.f64 3 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (*.f64 y y) 1/9))) -1) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))) -1) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/3 y)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (cbrt.f64 x)) (/.f64 y (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 x)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 1/3 y) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 y)) 2) (cbrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/3 y)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/3 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 1/3 y)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 x 1/4)) (/.f64 1/3 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (*.f64 1/3 y) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 y)) 2) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 y)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/3 y)) (pow.f64 x 1/4)) (/.f64 (sqrt.f64 (*.f64 1/3 y)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 x))) (*.f64 y -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 x) 3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) 1) (*.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (*.f64 1/3 y)) 2)) (cbrt.f64 (*.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 1/3 y))) (sqrt.f64 (*.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (/.f64 3 y)) -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 (sqrt.f64 x) (/.f64 3 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/3 (/.f64 y (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 y) 3) (pow.f64 x 3/2)))))) (#(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 (*.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 (*.f64 (*.f64 y y) 1/9))))) (#(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)))))))

simplify27.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
30×associate-/l*_binary64
18×associate-/l/_binary64
17×associate-/r*_binary64
13×associate-*r*_binary64
13×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014288
126252
250252
380252
486252
593252
6115252
7170252
8198252
9198252
Stop Event
1×saturated
Counts
118 → 97
Calls
Call 1
Inputs
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 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 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))
(*.f64 3 (/.f64 (*.f64 1 (sqrt.f64 x)) y))
(*.f64 3 (/.f64 (sqrt.f64 x) y))
(*.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 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 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 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 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 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 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 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 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 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 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 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))))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
495×pow1_binary64
483×add-sqr-sqrt_binary64
461×add-log-exp_binary64
461×log1p-expm1-u_binary64
461×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
11204
213134
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(*.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 (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 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 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)))))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
Stop Event
1×saturated
Counts
28 → 16
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)
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)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 y (pow.f64 x -1/2))
✓0.5b
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

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

rewrite67.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116817
2188717
Stop Event
1×node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (pow.f64 x -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 -1/3 y)) (pow.f64 x -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 (pow.f64 x -1) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 -1/3 y)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (pow.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (pow.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -1) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (pow.f64 x -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (pow.f64 x -1/2))))))))

simplify14.0ms (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
09252
115252
222252
324252
Stop Event
1×saturated
Counts
48 → 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))))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.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))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(*.f64 y (sqrt.f64 (/.f64 1 x)))

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series4.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite62.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116810
2188710
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
Outputs
((#(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 (*.f64 (sqrt.f64 (*.f64 -1/3 y)) (pow.f64 x -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/9 (*.f64 y y)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/3) y) (pow.f64 x -1/2)))))) (#(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 (pow.f64 x -1/2) 3) (pow.f64 (*.f64 -1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/3 y) 3) (pow.f64 (pow.f64 x -1/2) 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 (0.1%)

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
09144
115144
222144
324144
Stop Event
1×saturated
Counts
25 → 15
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 (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (pow.f64 x 1/4))
0.3b
(*.f64 y -1/3)
✓0.3b
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (*.f64 y -1/3) (pow.f64 x 1/4)))
✓0.3b
(/.f64 (*.f64 y -1/3) (pow.f64 x 1/4))
Compiler

Compiled 38 to 28 computations (26.3% saved)

series277.0ms (3.3%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
167.0ms
y
@0
(/.f64 (*.f64 y -1/3) (pow.f64 x 1/4))
75.0ms
x
@-inf
(/.f64 (*.f64 y -1/3) (pow.f64 x 1/4))
17.0ms
x
@0
(/.f64 (*.f64 y -1/3) (pow.f64 x 1/4))
11.0ms
x
@inf
(/.f64 (*.f64 y -1/3) (pow.f64 x 1/4))
1.0ms
y
@inf
(/.f64 (*.f64 y -1/3) (pow.f64 x 1/4))

rewrite88.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
543×log-prod_binary64
419×exp-prod_binary64
327×pow-prod-down_binary64
274×pow2_binary64
235×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01130
123923
2301023
Stop Event
1×node limit
Counts
3 → 183
Calls
Call 1
Inputs
(/.f64 (*.f64 y -1/3) (pow.f64 x 1/4))
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (*.f64 y -1/3) (pow.f64 x 1/4)))
(/.f64 1 (pow.f64 x 1/4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 -1/3 (pow.f64 x -1/4)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 -1/3 (pow.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 -1/3 (pow.f64 x -1/4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 -1/3 (pow.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (pow.f64 x 1/4) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 -1/3 (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 y (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (*.f64 y (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -1/3) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (*.f64 y -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 y -1/3)) (pow.f64 x -1/12)) (cbrt.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) (sqrt.f64 x))) (*.f64 (cbrt.f64 (*.f64 y -1/3)) (pow.f64 x -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (*.f64 (pow.f64 x -1/12) (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/3)) 2) (*.f64 (cbrt.f64 (*.f64 y -1/3)) (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/8) (sqrt.f64 (*.f64 y -1/3))) (*.f64 (pow.f64 x -1/8) (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/12) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/8) (pow.f64 x -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/12) -2) (pow.f64 x -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 -1/4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1/12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/4) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/12) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/12) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/8) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 1/4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1/4) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (pow.f64 x 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1/4 (log.f64 x))) 2)) (cbrt.f64 (*.f64 -1/4 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/4 (log.f64 x)))) (sqrt.f64 (*.f64 -1/4 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -3/4)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/8 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) -1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/4 (log.f64 x)) 1) 1))))))

simplify78.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
946×unswap-sqr_binary64
764×fma-neg_binary64
395×associate-*l*_binary64
361×*-commutative_binary64
267×associate-*r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
022540
153540
2106540
3218540
4547540
51667432
62905432
77341432
Stop Event
1×node limit
Counts
231 → 190
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) y))
(*.f64 -1/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) y))
(*.f64 -1/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) y))
(*.f64 -1/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) y))
(*.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))))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
Outputs
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) y))
(*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/4) y))
(*.f64 -1/3 (*.f64 (pow.f64 x -1/4) y))
(*.f64 (pow.f64 x -1/4) (*.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))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)

eval453.0ms (5.4%)

Compiler

Compiled 6135 to 4661 computations (24% saved)

prune95.0ms (1.1%)

Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New3955400
Fresh01212
Picked101
Done2810
Total39825423
Error
0b
Counts
423 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
38.4b
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))
44.8b
1
0.5b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
12.2b
(fma.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 (neg.f64 y) (/.f64 1/3 (sqrt.f64 x))))
✓43.8b
(*.f64 (/.f64 1 x) -1/9)
✓38.6b
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
43.9b
(/.f64 (/.f64 -1/9 (sqrt.f64 x)) (sqrt.f64 x))
38.4b
(*.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))
38.4b
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
38.6b
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
38.4b
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
43.8b
(/.f64 1 (*.f64 x -9))
✓20.4b
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
✓44.0b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
25.2b
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
14.3b
(/.f64 (-.f64 (*.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (/.f64 1/9 x)) y)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 3 (sqrt.f64 x))))
25.4b
(-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1 (*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))))
20.4b
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
✓43.8b
(/.f64 -1/9 x)
38.3b
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
✓25.2b
(-.f64 1 (/.f64 1/9 x))
✓38.3b
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1 (*.f64 (/.f64 3 y) (sqrt.f64 x))))
Compiler

Compiled 279 to 224 computations (19.7% saved)

regimes255.0ms (3%)

Counts
54 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))
(*.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (/.f64 x 1/9))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1 (*.f64 (/.f64 3 y) (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 1/3 y))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y 1/3)))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1 (*.f64 3 (*.f64 (/.f64 1 y) (sqrt.f64 x)))))
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
(/.f64 (/.f64 -1/9 (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (*.f64 y -1/3) (pow.f64 x 1/4)))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (/.f64 (*.f64 1/3 y) (pow.f64 x 1/4)) (pow.f64 x 1/4)))
(fma.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 (neg.f64 y) (/.f64 1/3 (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (/.f64 1/9 x)) y)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 3 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1/9 x) 2)) (cbrt.f64 (/.f64 -1/9 x)))
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 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))))
(fma.f64 (-.f64 1 (pow.f64 (/.f64 x 1/9) -2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 3 (sqrt.f64 x))))))
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (/.f64 x 1/9))))
Calls

4 calls:

118.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
31.0ms
y
30.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
30.0ms
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 605 to 436 computations (27.9% saved)

regimes46.0ms (0.6%)

Counts
32 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))
(*.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))
(-.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:

19.0ms
y
18.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
Compiler

Compiled 229 to 160 computations (30.1% saved)

regimes59.0ms (0.7%)

Counts
31 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))
(*.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))
Outputs
(+.f64 1 (+.f64 (/.f64 -1/9 x) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))
Calls

2 calls:

25.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
Compiler

Compiled 217 to 152 computations (30% saved)

regimes71.0ms (0.8%)

Counts
30 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))
(*.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
Calls

2 calls:

30.0ms
y
25.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
0.5b1y
Compiler

Compiled 205 to 144 computations (29.8% saved)

regimes157.0ms (1.9%)

Counts
28 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))
(*.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
(-.f64 (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
Outputs
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
Calls

2 calls:

100.0ms
x
48.0ms
y
Results
ErrorSegmentsBranch
9.4b4x
2.9b3y
Compiler

Compiled 181 to 130 computations (28.2% saved)

bsearch108.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
47.0ms
803675765623644.1
1.0406756897486055e+24
60.0ms
-1.1902730050211031e+54
-1.123140097254523e+50
Compiler

Compiled 21 to 17 computations (19% saved)

regimes119.0ms (1.4%)

Counts
25 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))
(*.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(*.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:

56.0ms
y
52.0ms
x
Results
ErrorSegmentsBranch
9.5b4x
2.9b3y
Compiler

Compiled 152 to 109 computations (28.3% saved)

bsearch52.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
803675765623644.1
1.0406756897486055e+24
27.0ms
-1.1902730050211031e+54
-1.123140097254523e+50
Compiler

Compiled 21 to 17 computations (19% saved)

regimes152.0ms (1.8%)

Counts
21 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))
(/.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y -1/3)))
(*.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)))
Outputs
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(-.f64 1 (/.f64 1/9 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
Calls

2 calls:

106.0ms
x
41.0ms
y
Results
ErrorSegmentsBranch
17.5b11x
4.6b3y
Compiler

Compiled 120 to 86 computations (28.3% saved)

bsearch49.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
3.5761006254795976e+83
4.4825941823928737e+83
24.0ms
-6.13859800076783e+90
-9.977470239879815e+82
Compiler

Compiled 21 to 17 computations (19% saved)

regimes127.0ms (1.5%)

Counts
16 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
(/.f64 (*.f64 y -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:

90.0ms
x
33.0ms
y
Results
ErrorSegmentsBranch
17.5b11x
4.6b3y
Compiler

Compiled 83 to 61 computations (26.5% saved)

bsearch50.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
3.5761006254795976e+83
4.4825941823928737e+83
25.0ms
-6.13859800076783e+90
-9.977470239879815e+82
Compiler

Compiled 21 to 17 computations (19% saved)

regimes122.0ms (1.4%)

Counts
15 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
Outputs
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(-.f64 1 (/.f64 1/9 x))
(*.f64 (/.f64 y (sqrt.f64 x)) -1/3)
Calls

2 calls:

84.0ms
x
33.0ms
y
Results
ErrorSegmentsBranch
17.5b11x
4.6b3y
Compiler

Compiled 77 to 58 computations (24.7% saved)

bsearch51.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
3.5761006254795976e+83
4.4825941823928737e+83
26.0ms
-6.13859800076783e+90
-9.977470239879815e+82
Compiler

Compiled 21 to 17 computations (19% saved)

regimes115.0ms (1.4%)

Counts
14 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
Outputs
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
(-.f64 1 (/.f64 1/9 x))
(/.f64 y (/.f64 (sqrt.f64 x) -1/3))
Calls

2 calls:

79.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
17.5b11x
4.6b3y
Compiler

Compiled 71 to 55 computations (22.5% saved)

bsearch111.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
85.0ms
3.5761006254795976e+83
4.4825941823928737e+83
26.0ms
-6.13859800076783e+90
-9.977470239879815e+82
Compiler

Compiled 21 to 17 computations (19% saved)

regimes112.0ms (1.3%)

Counts
13 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
Outputs
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(-.f64 1 (/.f64 1/9 x))
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
Calls

2 calls:

79.0ms
x
30.0ms
y
Results
ErrorSegmentsBranch
17.5b11x
4.7b3y
Compiler

Compiled 65 to 52 computations (20% saved)

bsearch89.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
64.0ms
3.5761006254795976e+83
4.4825941823928737e+83
25.0ms
-6.13859800076783e+90
-9.977470239879815e+82
Compiler

Compiled 21 to 17 computations (19% saved)

regimes23.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(pow.f64 (*.f64 x -9) -1)
Outputs
(-.f64 1 (/.f64 1/9 x))
Calls

2 calls:

12.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
25.2b1x
25.2b1y
Compiler

Compiled 59 to 48 computations (18.6% saved)

regimes85.0ms (1%)

Counts
6 → 2
Calls
Call 1
Inputs
1
1
1
(/.f64 -1/9 x)
(*.f64 (/.f64 1 x) -1/9)
(/.f64 1 (*.f64 x -9))
Outputs
(/.f64 -1/9 x)
1
Calls

2 calls:

66.0ms
y
17.0ms
x
Results
ErrorSegmentsBranch
25.9b2x
38.9b7y
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch24.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
0.2000933833943927
2113.152071453072
Compiler

Compiled 21 to 17 computations (19% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

4.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
44.8b1x
44.8b1y
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify22.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
16×*-commutative_binary64
12×sub-neg_binary64
7×neg-sub0_binary64
7×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073367
1102367
2129367
3145367
4154367
5156367
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (/.f64 x 1/9))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(if (<=.f64 y -1190273005021103144305829852645091677537603093004288000) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 6429406124989153/8) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))))
(if (<=.f64 y -1190273005021103144305829852645091677537603093004288000) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 6429406124989153/8) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 y (/.f64 (sqrt.f64 x) -1/3)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 y (sqrt.f64 x)) -1/3)))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 y (/.f64 (sqrt.f64 x) -1/3)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (/.f64 (sqrt.f64 x) -1/3))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))))
(-.f64 1 (/.f64 1/9 x))
(if (<=.f64 x 3604561947577155/18014398509481984) (/.f64 -1/9 x) 1)
1
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (/.f64 x 1/9))))
(-.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 (/.f64 -1/3 (sqrt.f64 x)) y)))
(+.f64 1 (+.f64 (/.f64 -1/9 x) (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 1/3 (/.f64 y (sqrt.f64 x))))
(if (<=.f64 y -1190273005021103144305829852645091677537603093004288000) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 6429406124989153/8) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))))
(if (<=.f64 y -1190273005021103144305829852645091677537603093004288000) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (if (<=.f64 y 6429406124989153/8) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (*.f64 (*.f64 y -1/3) (pow.f64 x -1/2)))))
(if (<=.f64 y -1190273005021103144305829852645091677537603093004288000) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (if (<=.f64 y 6429406124989153/8) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 (*.f64 y -1/3) (pow.f64 x -1/2)))))
(if (<=.f64 y -1190273005021103144305829852645091677537603093004288000) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 6429406124989153/8) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))
(if (<=.f64 y -1190273005021103144305829852645091677537603093004288000) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (if (<=.f64 y 6429406124989153/8) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))))
(if (<=.f64 y -1190273005021103144305829852645091677537603093004288000) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (if (<=.f64 y 6429406124989153/8) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 y (/.f64 (sqrt.f64 x) -1/3)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 y (sqrt.f64 x)) -1/3)))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 y (/.f64 (sqrt.f64 x) -1/3)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 y (/.f64 (sqrt.f64 x) -1/3)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 y (/.f64 (sqrt.f64 x) -1/3)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (/.f64 (sqrt.f64 x) -1/3))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 y (/.f64 (sqrt.f64 x) -1/3)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (/.f64 (sqrt.f64 x) -1/3))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (-.f64 1 (/.f64 1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))))
(if (<=.f64 y -6138598000767830106799029908572713802410436302725513464176821928428584449323127578684293120) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (if (<=.f64 y 357610062547959755553535082773042532127122183661520178269495017837776925908457750528) (+.f64 1 (/.f64 -1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(if (<=.f64 x 3604561947577155/18014398509481984) (/.f64 -1/9 x) 1)
1
Compiler

Compiled 277 to 207 computations (25.3% saved)

soundness0.0ms (0%)

end141.0ms (1.7%)

Compiler

Compiled 251 to 171 computations (31.9% saved)

Profiling

Loading profile data...