Details

Time bar (total: 5.7s)

analyze39.0ms (0.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
0%50%50%4
12.5%37.5%50%5
18.7%31.2%50%6
28.1%21.9%50%7
32.8%17.2%50%8
37.5%11.7%50.8%9
39.8%9%51.2%10
42.1%6%51.8%11
43.3%4.6%52.1%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.0s (17.7%)

Results
972.0ms8256×body256valid
21.0ms189×body256invalid

preprocess181.0ms (3.2%)

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)

simplify48.0ms (0.8%)

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

Useful iterations: 4 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 27 to 20 computations (25.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 29 to 23 computations (20.7% saved)

localize16.0ms (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))
✓0.3b
(/.f64 -1/9 x)
✓0.3b
(/.f64 -1/3 (sqrt.f64 x))
Compiler

Compiled 36 to 22 computations (38.9% saved)

series10.0ms (0.2%)

Counts
3 → 13
Calls

12 calls:

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

rewrite71.0ms (1.2%)

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 -1/3 (sqrt.f64 x))
(/.f64 -1/9 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 -1/3 (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 (/.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 -1/9 x) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) 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 y -1/3) (sqrt.f64 x)) 3) (pow.f64 (/.f64 -1/9 x) 3)) (+.f64 (*.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (-.f64 (pow.f64 (/.f64 -1/9 x) 2) (*.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (pow.f64 (/.f64 -1/9 x) 2)) (-.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.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))))))))

simplify38.0ms (0.7%)

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)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 48 to 33 computations (31.3% saved)

series12.0ms (0.2%)

Counts
4 → 39
Calls

18 calls:

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

rewrite102.0ms (1.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01343
129037
2413235
Stop Event
1×node limit
Counts
4 → 210
Calls
Call 1
Inputs
(*.f64 3 (sqrt.f64 x))
(/.f64 y (*.f64 3 (sqrt.f64 x)))
(/.f64 1 (*.f64 x 9))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
((#(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 3) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)))))))) (#(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 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(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 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 3) (sqrt.f64 x)))))) (#(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 (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x)))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/9 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 (pow.f64 (cbrt.f64 y) 2) 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 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 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 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 9))) (/.f64 (sqrt.f64 y) (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 (pow.f64 (cbrt.f64 y) 2) (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 (sqrt.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))) 3) 1/3)))) (#(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 pow.f64 (/.f64 (/.f64 (sqrt.f64 x) (*.f64 y 1/3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) (cbrt.f64 (exp.f64 (/.f64 1/9 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (/.f64 1/9 x) 1)))) (#(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 -1 (neg.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 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(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 (/.f64 1/9 x) 3) 1/3)))) (#(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 (neg.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 log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/9 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) (cbrt.f64 (+.f64 1 (/.f64 1/9 x)))) (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/9 x))) (hypot.f64 1 (sqrt.f64 (/.f64 1/9 x))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/9 x))) y (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))) (fma.f64 (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))) 1 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))) (fma.f64 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1/9 x))) (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))) (+.f64 (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))) (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) (-.f64 1 (/.f64 1/9 x)))))))

simplify63.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

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

eval136.0ms (2.4%)

Compiler

Compiled 6136 to 4590 computations (25.2% saved)

prune57.0ms (1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New27116287
Fresh000
Picked101
Done101
Total27316289
Error
0.0b
Counts
289 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(-.f64 (-.f64 1 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶42.2b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
0.2b
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))))
0.5b
(-.f64 (-.f64 1 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
40.7b
1
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
20.2b
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
20.9b
(+.f64 1 (/.f64 -1/9 x))
20.4b
(fma.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 3)) (/.f64 1 (fma.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)) 1)) (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))))
▶0.2b
(+.f64 1 (+.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x)))
42.2b
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
20.9b
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
▶43.6b
(/.f64 -1/9 x)
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y 1/3)))
28.4b
(pow.f64 (sqrt.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x)))) 2)
Compiler

Compiled 435 to 357 computations (17.9% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 45 to 34 computations (24.4% saved)

series6.0ms (0.1%)

Counts
3 → 27
Calls

15 calls:

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

rewrite93.0ms (1.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01136
125133
2362131
Stop Event
1×node limit
Counts
3 → 186
Calls
Call 1
Inputs
(/.f64 y (sqrt.f64 (*.f64 x 9)))
(sqrt.f64 (*.f64 x 9))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (pow.f64 (*.f64 x 9) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 9))) (/.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/4) (/.f64 y (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (*.f64 x 9) 1/4)) (/.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 y 3)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (/.f64 y 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 x) (/.f64 y 3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 y 3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) 1))))))
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simplify54.0ms (1%)

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

Useful iterations: 1 (0.0ms)

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

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (/.f64 1 x))
✓0.2b
(*.f64 y (sqrt.f64 (/.f64 1 x)))
✓0.4b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Compiler

Compiled 27 to 19 computations (29.6% saved)

series7.0ms (0.1%)

Counts
3 → 0
Calls

15 calls:

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

rewrite66.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
118119
2205119
Stop Event
1×node limit
Counts
3 → 53
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(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 -1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1/3 y) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -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 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 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(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 (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 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(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)))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
53 → 53
Calls
Call 1
Inputs
Outputs

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 43 to 27 computations (37.2% saved)

series6.0ms (0.1%)

Counts
3 → 37
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
1.0ms
y
@0
(*.f64 y -1/3)
0.0ms
y
@inf
(*.f64 y -1/3)
0.0ms
y
@-inf
(*.f64 y -1/3)
0.0ms
x
@inf
(+.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x))

rewrite84.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
563×log-prod_binary64
430×fma-def_binary64
412×pow-prod-down_binary64
299×pow2_binary64
221×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01028
123027
2342726
Stop Event
1×node limit
Counts
3 → 165
Calls
Call 1
Inputs
(*.f64 y -1/3)
(/.f64 (*.f64 y -1/3) (sqrt.f64 x))
(+.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 -1/9 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (*.f64 (sqrt.f64 x) -3)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 -1/3 (pow.f64 x -1/2)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (*.f64 y (pow.f64 x -1/2)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -1/3) (pow.f64 x -1/2) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/9 (/.f64 1 x) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/9 x) 1 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/9 x) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 (/.f64 1 (neg.f64 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/9 x)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 (/.f64 -1/9 x)) (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))) (cbrt.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x 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y -1/3)) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y))) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 y -1/3)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 y -1/3)) (pow.f64 x 1/6)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (pow.f64 x 1/4)) (/.f64 -1/3 (pow.f64 x 1/4)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/3 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (/.f64 (*.f64 y -1/3) (pow.f64 x 1/4)) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) (/.f64 -1/9 x))))))

simplify47.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
269×fma-def_binary64
144×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
015386
130368
252368
374368
4115368
5192368
6314368
7494368
8650368
9824368
10888368
11892368
Stop Event
1×saturated
Counts
202 → 171
Calls
Call 1
Inputs
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
(-.f64 (*.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 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 y)
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(/.f64 -1/9 x)
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.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 -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 -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 -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 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.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 -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 -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 -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 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.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 -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 -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 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))
(/.f64 -1/9 x)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (*.f64 x 9))
✓0.3b
(/.f64 1 (sqrt.f64 x))
✓0.3b
(*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y 1/3))
✓0.4b
(*.f64 y 1/3)
Compiler

Compiled 55 to 39 computations (29.1% saved)

series4.0ms (0.1%)

Counts
3 → 24
Calls

12 calls:

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

rewrite59.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
808×pow1_binary64
749×add-log-exp_binary64
749×log1p-expm1-u_binary64
749×expm1-log1p-u_binary64
732×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
118117
2210617
Stop Event
1×node limit
Counts
3 → 58
Calls
Call 1
Inputs
(*.f64 y 1/3)
(*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y 1/3))
(/.f64 1 (sqrt.f64 x))
Outputs
((#(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 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/3)) 2) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y 1/3)) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y 1/3)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 1/3) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 1/3) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 1/3) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y 1/3)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 1/3) -1) (neg.f64 (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 (/.f64 (*.f64 (*.f64 y y) 1/9) 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 cbrt.f64 (*.f64 (pow.f64 (*.f64 y 1/3) 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 (*.f64 y 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -1/2) 3) 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 (pow.f64 (sqrt.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 x))))) (#(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 (pow.f64 (pow.f64 x -1/2) 3))))) (#(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 (0.2%)

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
82 → 60
Calls
Call 1
Inputs
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 (*.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 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 y)
(*.f64 1/3 (*.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))))

eval225.0ms (4%)

Compiler

Compiled 10847 to 7854 computations (27.6% saved)

prune101.0ms (1.8%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New57113584
Fresh7411
Picked101
Done224
Total58119600
Error
0b
Counts
600 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.2b
(+.f64 1 (+.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x)))
42.2b
(*.f64 -1/3 (*.f64 y (/.f64 1 (sqrt.f64 x))))
44.0b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
43.6b
(pow.f64 (*.f64 x -9) -1)
42.2b
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
0.2b
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))))
▶42.2b
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
42.2b
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
▶20.9b
(-.f64 1 (/.f64 1/9 x))
0.5b
(-.f64 (-.f64 1 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
40.7b
1
✓43.6b
(/.f64 -1/9 x)
43.6b
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶20.2b
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
42.2b
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
▶28.6b
(+.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x))))
Compiler

Compiled 420 to 336 computations (20% saved)

localize28.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
0.2b
(/.f64 1 (*.f64 x 9))
✓0.3b
(*.f64 (pow.f64 x -1/2) (/.f64 y 3))
Compiler

Compiled 51 to 39 computations (23.5% saved)

series7.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

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

rewrite90.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
696×log-prod_binary64
359×fma-def_binary64
268×expm1-udef_binary64
267×pow1/3_binary64
267×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01432
132229
2423327
Stop Event
1×node limit
Counts
2 → 132
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -1/2) (/.f64 y 3))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
Outputs
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simplify55.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018370
140352
278352
3128352
4178352
5251352
6409352
7686352
81047352
91298352
101463352
111475352
Stop Event
1×saturated
Counts
159 → 142
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) 1) (/.f64 -1/9 x))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) 1) (/.f64 -1/9 x))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite48.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
397×pow1_binary64
390×add-sqr-sqrt_binary64
379×*-un-lft-identity_binary64
375×add-log-exp_binary64
375×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1884
210254
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 1/9 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/9 x)) (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -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 1 1/3) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/9 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/9 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 1/9 x) 2) 1/9) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 1/9 x) 2) (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 (*.f64 (pow.f64 (/.f64 1/9 x) 2) (sqrt.f64 (/.f64 1/9 x))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/9) 3) (/.f64 1 x))))) (#(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 (sqrt.f64 (cbrt.f64 (/.f64 1/9 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) -1) (cbrt.f64 (/.f64 1/9 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) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 9) 1) -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)))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
34 → 34
Calls
Call 1
Inputs
Outputs

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

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

rewrite65.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
758×pow1_binary64
710×add-log-exp_binary64
710×log1p-expm1-u_binary64
710×expm1-log1p-u_binary64
694×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114713
2190013
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(*.f64 -1/3 y)
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/3 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) 1)))) (#(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 1 (/.f64 (sqrt.f64 x) y)))))) (#(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 y (*.f64 -1/3 (pow.f64 x -1/2)))))) (#(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 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 -1/3 y) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 -1/3 y) 2) x)) (cbrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 2) (*.f64 (cbrt.f64 (*.f64 -1/3 y)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (sqrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/3 y)) (*.f64 (sqrt.f64 (*.f64 -1/3 y)) (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 -1/3 y))))) (#(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 -1/3 (sqrt.f64 x)) y)))) (#(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)) (cbrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))) (#(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 pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) 2)))) (#(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 neg.f64 (/.f64 (*.f64 -1/3 y) (neg.f64 (sqrt.f64 x))))))) (#(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 (exp.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 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 (/.f64 -1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))))

simplify12.0ms (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
64 → 54
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))

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 1 x))
✓0.3b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
0.4b
(*.f64 -1/3 y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 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
@0
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))

rewrite64.0ms (1.1%)

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
0912
11819
220519
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.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)))))))))

simplify12.0ms (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
26 → 16
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))

localize65.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
✓4.7b
(-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x)))
✓8.4b
(/.f64 (*.f64 (*.f64 y y) 1/9) x)
✓29.0b
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x)))
Compiler

Compiled 120 to 59 computations (50.8% saved)

series24.0ms (0.4%)

Counts
4 → 73
Calls

24 calls:

TimeVariablePointExpression
5.0ms
y
@0
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x)))
4.0ms
x
@-inf
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x)))
3.0ms
x
@inf
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x)))
2.0ms
x
@0
(-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x)))
1.0ms
x
@0
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x)))

rewrite114.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
345×log1p-udef_binary64
232×add-sqr-sqrt_binary64
223×*-un-lft-identity_binary64
223×pow1_binary64
219×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01974
145748
2754448
Stop Event
1×node limit
Counts
4 → 250
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x)))
(/.f64 (*.f64 (*.f64 y y) 1/9) x)
(-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x)))
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 1/9 x)) (fma.f64 (neg.f64 (pow.f64 x -1)) -1/9 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 1/9 x)) (fma.f64 (/.f64 1/9 x) 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 1/9 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 x))) (cbrt.f64 (*.f64 1/81 (pow.f64 x -2))) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (/.f64 1/9 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/9 x))) (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 x) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (*.f64 y 1/9)) (*.f64 (fma.f64 -1/3 (/.f64 y 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simplify85.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
662×distribute-rgt-neg-in_binary64
640×fma-neg_binary64
606×distribute-lft-neg-in_binary64
469×distribute-neg-frac_binary64
446×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025974
159920
2115920
3249920
4787920
54085920
67687920
Stop Event
1×node limit
Counts
323 → 260
Calls
Call 1
Inputs
(/.f64 -1/9 x)
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(/.f64 -1/9 x)
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(/.f64 -1/81 (pow.f64 x 2))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(/.f64 -1/81 (pow.f64 x 2))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Outputs
(/.f64 -1/9 x)
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 -1/3 (*.f64 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))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 -1/3 (*.f64 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))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 -1/3 (*.f64 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))
(*.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)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 -1/3 (*.f64 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))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 -1/3 (*.f64 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))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 -1/3 (*.f64 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))
(*.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)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 -1/3 (*.f64 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))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 -1/3 (*.f64 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))
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (neg.f64 (/.f64 1/9 x)))
(fma.f64 -1/3 (*.f64 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))
(/.f64 -1/9 x)
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(/.f64 -1/81 (pow.f64 x 2))
(/.f64 -1/81 (*.f64 x x))
(/.f64 (/.f64 -1/81 x) x)
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(/.f64 -1/81 (pow.f64 x 2))
(/.f64 -1/81 (*.f64 x x))
(/.f64 (/.f64 -1/81 x) x)
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(*.f64 1/9 (/.f64 (pow.f64 y 2) x))
(*.f64 1/9 (/.f64 (*.f64 y y) x))
(*.f64 1/9 (/.f64 y (/.f64 x y)))
(*.f64 1/9 (*.f64 (/.f64 y x) y))
(/.f64 y (/.f64 (/.f64 x 1/9) y))
(*.f64 1/9 (*.f64 y (/.f64 y x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x x)))
(-.f64 (*.f64 1/9 (/.f64 (pow.f64 y 2) x)) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) x)) (/.f64 1/81 (*.f64 x x)))
(fma.f64 1/9 (/.f64 y (/.f64 x y)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 (/.f64 y x) y) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 (/.f64 -1/81 x) x))
(fma.f64 1/9 (*.f64 y (/.f64 y x)) (/.f64 -1/81 (*.f64 x x)))
(fma.f64 y (*.f64 y (/.f64 1/9 x)) (/.f64 -1/81 (*.f64 x 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))))

eval379.0ms (6.7%)

Compiler

Compiled 14141 to 9470 computations (33% saved)

prune96.0ms (1.7%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New5669575
Fresh5712
Picked011
Done336
Total57420594
Error
0b
Counts
594 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.6b
(+.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x))))
▶42.2b
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
42.2b
(*.f64 -1/3 (*.f64 y (/.f64 1 (sqrt.f64 x))))
44.0b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
40.7b
1
✓43.6b
(/.f64 -1/9 x)
42.2b
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
▶43.6b
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
42.2b
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
42.2b
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
▶42.2b
(*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)
▶0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
▶20.2b
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
43.6b
(pow.f64 (*.f64 x -9) -1)
✓42.2b
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
✓20.9b
(-.f64 1 (/.f64 1/9 x))
33.6b
(+.f64 1 (/.f64 (/.f64 (/.f64 -1/81 x) x) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x))))
0.5b
(-.f64 (-.f64 1 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
42.2b
(*.f64 -1/3 (/.f64 1 (/.f64 (sqrt.f64 x) y)))
Compiler

Compiled 389 to 309 computations (20.6% saved)

localize26.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
0.3b
(/.f64 1/9 x)
0.3b
(*.f64 (pow.f64 x -1/2) (/.f64 y 3))
Compiler

Compiled 42 to 31 computations (26.2% saved)

series2.0ms (0%)

Counts
1 → 15
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
0.0ms
x
@-inf
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
0.0ms
x
@inf
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
0.0ms
y
@-inf
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
0.0ms
y
@0
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))

rewrite85.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
643×log-prod_binary64
374×pow2_binary64
357×fma-def_binary64
255×expm1-udef_binary64
254×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01319
130318
2398216
Stop Event
1×node limit
Counts
1 → 109
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
Outputs
((#(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 (/.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)) (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 (neg.f64 (*.f64 y (/.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 (neg.f64 (*.f64 y (/.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 (pow.f64 x -1/2)) (*.f64 y 1/3) (*.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 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))) (sqrt.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 y 1/3) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))) (sqrt.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 2) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 3) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x))) (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2))) (fma.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 3) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x))) (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 y 1/3) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 3) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x))) (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 2) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/729 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)) 1)) (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/729 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)) 1)) (*.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 2)) (/.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x)))) (fma.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 2)) (/.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x)))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 y 1/3) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 2)) (/.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 2) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 y 1/3) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) 2) (cbrt.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (sqrt.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 y 1/3)) (pow.f64 x -1/2) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -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))))) (fma.f64 (neg.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -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))))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 y 1/3) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -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))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 2) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 2)) (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -1/2)) 1) (*.f64 y 1/3) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -1/2)) y) 1/3 (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -1/2)) (cbrt.f64 (*.f64 (*.f64 y y) 1/9))) (cbrt.f64 (*.f64 y 1/3)) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -1/2)) (sqrt.f64 (*.f64 y 1/3))) (sqrt.f64 (*.f64 y 1/3)) (+.f64 1 (/.f64 -1/9 x)))))))

simplify46.0ms (0.8%)

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
124 → 117
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))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
076
11434
216484
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(*.f64 1/9 (/.f64 1 (neg.f64 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 x)))) (#(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 (/.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 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 1/81))))) (#(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 (0.2%)

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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 9 computations (47.1% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite50.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
690×pow1_binary64
644×add-log-exp_binary64
644×log1p-expm1-u_binary64
644×expm1-log1p-u_binary64
630×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11489
217829
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)
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 -1/3 (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (*.f64 -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 1/3 y) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -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 (*.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 cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))))

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
115144
222144
324144
Stop Event
1×saturated
Counts
35 → 25
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))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite52.0ms (0.9%)

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 (0.2%)

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
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))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 15 computations (40% saved)

eval128.0ms (2.3%)

Compiler

Compiled 5387 to 3911 computations (27.4% saved)

prune60.0ms (1.1%)

Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New3107317
Fresh4711
Picked011
Done088
Total31423337
Error
0b
Counts
337 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
42.2b
(/.f64 y (*.f64 (sqrt.f64 x) -3))
✓28.6b
(+.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x))))
✓42.2b
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
42.2b
(*.f64 (*.f64 (pow.f64 x -1/2) -1/3) y)
42.2b
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
62.0b
(/.f64 1 (/.f64 x 1/9))
42.2b
(*.f64 -1/3 (*.f64 y (/.f64 1 (sqrt.f64 x))))
44.0b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
62.0b
(/.f64 1/9 x)
✓20.2b
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
40.7b
1
✓20.9b
(-.f64 1 (/.f64 1/9 x))
✓43.6b
(/.f64 -1/9 x)
✓43.6b
(*.f64 1/9 (/.f64 1 (neg.f64 x)))
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
0.5b
(-.f64 (-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
42.2b
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
42.2b
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
✓42.2b
(*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)
✓0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
43.6b
(pow.f64 (*.f64 x -9) -1)
✓42.2b
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
33.6b
(+.f64 1 (/.f64 (/.f64 (/.f64 -1/81 x) x) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x))))
Compiler

Compiled 237 to 187 computations (21.1% saved)

regimes124.0ms (2.2%)

Counts
47 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(/.f64 1 (/.f64 x 1/9))
(-.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)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x -1/2) -1/3) y)
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 -1/3 (/.f64 1 (/.f64 (sqrt.f64 x) y)))
(*.f64 -1/3 (*.f64 y (/.f64 1 (sqrt.f64 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))))
(+.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y 1/3)))
(+.f64 1 (/.f64 (/.f64 (/.f64 -1/81 x) x) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x) (/.f64 1/81 (*.f64 x x))) (-.f64 (/.f64 -1/3 (/.f64 (sqrt.f64 x) y)) (/.f64 -1/9 x))))
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
(-.f64 (-.f64 1 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(pow.f64 (sqrt.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x)))) 2)
(-.f64 (-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
(-.f64 (-.f64 1 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(fma.f64 (-.f64 1 (pow.f64 (/.f64 1/9 x) 3)) (/.f64 1 (fma.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)) 1)) (*.f64 y (neg.f64 (sqrt.f64 (/.f64 1/9 x)))))
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
Calls

4 calls:

25.0ms
y
25.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
22.0ms
x
19.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 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 498 to 361 computations (27.5% saved)

regimes83.0ms (1.5%)

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

4 calls:

23.0ms
x
18.0ms
y
15.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
15.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 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 307 to 220 computations (28.3% saved)

regimes40.0ms (0.7%)

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

2 calls:

17.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
Compiler

Compiled 208 to 143 computations (31.3% saved)

regimes132.0ms (2.3%)

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

2 calls:

82.0ms
x
42.0ms
y
Results
ErrorSegmentsBranch
7.8b4x
2.1b3y
Compiler

Compiled 172 to 118 computations (31.4% saved)

bsearch84.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
41.0ms
3.488824772506351e+57
6.526253698811793e+58
43.0ms
-2.684482983167543e+47
-7.799334299543204e+36
Compiler

Compiled 21 to 17 computations (19% saved)

regimes164.0ms (2.9%)

Counts
27 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(/.f64 1 (/.f64 x 1/9))
(-.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)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x -1/2) -1/3) y)
(*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))
(*.f64 y (*.f64 -1/3 (pow.f64 x -1/2)))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 -1/3 (/.f64 1 (/.f64 (sqrt.f64 x) y)))
(*.f64 -1/3 (*.f64 y (/.f64 1 (sqrt.f64 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
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:

77.0ms
x
76.0ms
y
Results
ErrorSegmentsBranch
7.8b4x
2.1b3y
Compiler

Compiled 162 to 110 computations (32.1% saved)

bsearch62.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
3.488824772506351e+57
6.526253698811793e+58
25.0ms
-2.684482983167543e+47
-7.799334299543204e+36
Compiler

Compiled 21 to 17 computations (19% saved)

regimes85.0ms (1.5%)

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

2 calls:

44.0ms
y
31.0ms
x
Results
ErrorSegmentsBranch
18.9b3x
3.8b3y
Compiler

Compiled 114 to 78 computations (31.6% saved)

bsearch53.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
4.07901354549128e+107
7.332992146904825e+113
27.0ms
-3.8928536139959485e+77
-1.8141087133857327e+71
Compiler

Compiled 21 to 17 computations (19% saved)

regimes61.0ms (1.1%)

Counts
18 → 3
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(/.f64 1 (/.f64 x 1/9))
(-.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)))
(pow.f64 (*.f64 x -9) -1)
(/.f64 y (*.f64 (sqrt.f64 x) -3))
(/.f64 -1/3 (/.f64 (sqrt.f64 x) y))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x -1/2) -1/3) y)
Outputs
(*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)
(-.f64 1 (/.f64 1/9 x))
(/.f64 y (*.f64 (sqrt.f64 x) -3))
Calls

2 calls:

31.0ms
y
26.0ms
x
Results
ErrorSegmentsBranch
18.9b3x
3.8b3y
Compiler

Compiled 93 to 63 computations (32.3% saved)

bsearch50.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
4.07901354549128e+107
7.332992146904825e+113
24.0ms
-3.8928536139959485e+77
-1.8141087133857327e+71
Compiler

Compiled 21 to 17 computations (19% saved)

regimes48.0ms (0.8%)

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

2 calls:

23.0ms
y
21.0ms
x
Results
ErrorSegmentsBranch
18.9b3x
3.8b3y
Compiler

Compiled 68 to 50 computations (26.5% saved)

bsearch49.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
4.07901354549128e+107
7.332992146904825e+113
24.0ms
-3.8928536139959485e+77
-1.8141087133857327e+71
Compiler

Compiled 21 to 17 computations (19% saved)

regimes19.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
1
1
1
(/.f64 1/9 x)
(/.f64 -1/9 x)
(/.f64 1 (/.f64 x 1/9))
(-.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)))
(pow.f64 (*.f64 x -9) -1)
Outputs
(-.f64 1 (/.f64 1/9 x))
Calls

2 calls:

9.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
20.9b1x
20.9b1y
Compiler

Compiled 50 to 40 computations (20% saved)

regimes46.0ms (0.8%)

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

2 calls:

35.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
21.6b2x
35.1b8y
Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch25.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
0.017389636123391585
2402.7050888308368
Compiler

Compiled 21 to 17 computations (19% saved)

regimes10.0ms (0.2%)

Accuracy

Total -21.5b remaining (-52.8%)

Threshold costs -21.5b (-52.8%)

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

2 calls:

4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
40.7b1x
40.7b1y
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify16.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
058282
182282
2110282
3125282
4134282
5136282
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(if (<=.f64 y -268448298316754288804954582165740681396913963008) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))) (if (<=.f64 y 3488824772506351261727594224706158965128993408270077001728) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))))
(if (<=.f64 y -268448298316754288804954582165740681396913963008) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 3488824772506351261727594224706158965128993408270077001728) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))
(if (<=.f64 y -389285361399594850989493875489647182376435200604970972078330186701932144361472) (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)) (if (<=.f64 y 407901354549128001926724721804386941230962115143895374948920792513165917539852973046791140785604021018689536) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3))))
(if (<=.f64 y -389285361399594850989493875489647182376435200604970972078330186701932144361472) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (if (<=.f64 y 407901354549128001926724721804386941230962115143895374948920792513165917539852973046791140785604021018689536) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3))))
(if (<=.f64 y -389285361399594850989493875489647182376435200604970972078330186701932144361472) (/.f64 y (*.f64 (sqrt.f64 x) -3)) (if (<=.f64 y 407901354549128001926724721804386941230962115143895374948920792513165917539852973046791140785604021018689536) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3))))
(-.f64 1 (/.f64 1/9 x))
(if (<=.f64 x 5012221360986551/288230376151711744) (/.f64 -1/9 x) 1)
1
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(if (<=.f64 y -268448298316754288804954582165740681396913963008) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))) (if (<=.f64 y 3488824772506351261727594224706158965128993408270077001728) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))))
(if (<=.f64 y -268448298316754288804954582165740681396913963008) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))) (if (<=.f64 y 3488824772506351261727594224706158965128993408270077001728) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)))))
(if (<=.f64 y -268448298316754288804954582165740681396913963008) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 3488824772506351261727594224706158965128993408270077001728) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))
(if (<=.f64 y -268448298316754288804954582165740681396913963008) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (if (<=.f64 y 3488824772506351261727594224706158965128993408270077001728) (-.f64 1 (/.f64 1/9 x)) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))))
(if (<=.f64 y -389285361399594850989493875489647182376435200604970972078330186701932144361472) (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)) (if (<=.f64 y 407901354549128001926724721804386941230962115143895374948920792513165917539852973046791140785604021018689536) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3))))
(if (<=.f64 y -389285361399594850989493875489647182376435200604970972078330186701932144361472) (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) (if (<=.f64 y 407901354549128001926724721804386941230962115143895374948920792513165917539852973046791140785604021018689536) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3))))
(if (<=.f64 y -389285361399594850989493875489647182376435200604970972078330186701932144361472) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (if (<=.f64 y 407901354549128001926724721804386941230962115143895374948920792513165917539852973046791140785604021018689536) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3))))
(if (<=.f64 y -389285361399594850989493875489647182376435200604970972078330186701932144361472) (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) (if (<=.f64 y 407901354549128001926724721804386941230962115143895374948920792513165917539852973046791140785604021018689536) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3))))
(if (<=.f64 y -389285361399594850989493875489647182376435200604970972078330186701932144361472) (/.f64 y (*.f64 (sqrt.f64 x) -3)) (if (<=.f64 y 407901354549128001926724721804386941230962115143895374948920792513165917539852973046791140785604021018689536) (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 (sqrt.f64 x) -3))))
(-.f64 1 (/.f64 1/9 x))
(if (<=.f64 x 5012221360986551/288230376151711744) (/.f64 -1/9 x) 1)
1
Compiler

Compiled 214 to 164 computations (23.4% saved)

soundness0.0ms (0%)

end109.0ms (1.9%)

Compiler

Compiled 194 to 141 computations (27.3% saved)

Profiling

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