Details

Time bar (total: 5.9s)

analyze94.0ms (1.6%)

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)

sample1.6s (27.3%)

Results
1.6s8256×body256valid
26.0ms185×body256invalid

preprocess188.0ms (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)

simplify55.0ms (0.9%)

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)))

eval2.0ms (0%)

Compiler

Compiled 27 to 20 computations (25.9% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 29 to 23 computations (20.7% saved)

localize35.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))
✓0.4b
(/.f64 -1/9 x)
✓0.5b
(/.f64 -1/3 (sqrt.f64 x))
Compiler

Compiled 36 to 22 computations (38.9% saved)

series17.0ms (0.3%)

Counts
3 → 13
Calls

12 calls:

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

rewrite84.0ms (1.4%)

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))))))))

simplify65.0ms (1.1%)

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)

localize86.0ms (1.5%)

Local error

Found 3 expressions with local error:

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

Compiled 48 to 33 computations (31.3% saved)

series20.0ms (0.3%)

Counts
3 → 24
Calls

12 calls:

TimeVariablePointExpression
8.0ms
x
@0
(*.f64 3 (sqrt.f64 x))
3.0ms
x
@-inf
(/.f64 y (*.f64 3 (sqrt.f64 x)))
2.0ms
y
@0
(/.f64 y (*.f64 3 (sqrt.f64 x)))
1.0ms
x
@-inf
(*.f64 3 (sqrt.f64 x))
1.0ms
y
@inf
(/.f64 y (*.f64 3 (sqrt.f64 x)))

rewrite300.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
492×log-prod_binary64
372×exp-prod_binary64
335×prod-exp_binary64
277×pow-prod-down_binary64
257×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01122
122719
2277219
Stop Event
1×node limit
Counts
3 → 135
Calls
Call 1
Inputs
(*.f64 3 (sqrt.f64 x))
(/.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 (pow.f64 (exp.f64 2) (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 (E.f64) (log.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 9)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 3 (sqrt.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3 (sqrt.f64 x))))) (sqrt.f64 (log.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(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 x 9) 3/2))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 x 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 9) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 9) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 9) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 9)) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.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 (/.f64 (pow.f64 x -2) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) 81)) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) -2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 81) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -2) 81) 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 x 9)) -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 pow.f64 (exp.f64 -1) (log.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 x -9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/9 x))) 2)) (cbrt.f64 (log.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/9 x)))) (sqrt.f64 (log.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -2) 81))))) (#(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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 1/9 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/9 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 9)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 9)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))) (*.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x 9)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (pow.f64 (*.f64 x 9) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 (*.f64 y (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/3) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 (pow.f64 x -1/2) (*.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 (/.f64 1/3 (sqrt.f64 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 3 (sqrt.f64 x)) -1/2) (/.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 pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(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 (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 pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(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 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y 1/3)) (*.f64 (log.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y 1/3)) (*.f64 (log.f64 (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))) (*.f64 (log.f64 y) 1)))))))

simplify15.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011192
117192
224192
326192
Stop Event
1×saturated
Counts
159 → 138
Calls
Call 1
Inputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
Outputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y))

eval73.0ms (1.2%)

Compiler

Compiled 3451 to 2527 computations (26.8% saved)

prune82.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New19212204
Fresh000
Picked101
Done101
Total19412206
Error
0b
Counts
206 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 9)) 3/2)))
▶21.4b
(+.f64 1 (/.f64 -1/9 x))
13.0b
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
▶22.1b
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
22.1b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
▶0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
0.3b
(+.f64 1 (+.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x)))
0.3b
(-.f64 (-.f64 1 (*.f64 (/.f64 1 x) 1/9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.4b
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.5b
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Compiler

Compiled 354 to 286 computations (19.2% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 45 to 34 computations (24.4% saved)

series4.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

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

rewrite59.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
718×pow1_binary64
672×add-log-exp_binary64
672×log1p-expm1-u_binary64
672×expm1-log1p-u_binary64
657×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114715
2181615
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 y (sqrt.f64 (*.f64 x 9)))
(sqrt.f64 (*.f64 x 9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (*.f64 x 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) (cbrt.f64 (/.f64 (*.f64 y y) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y y) (*.f64 x 9))) (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(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 (pow.f64 (*.f64 x 9) -1/2) y)))) (#(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 1 (cbrt.f64 (*.f64 x 9))) (/.f64 y (cbrt.f64 (*.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 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 9))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 x 9) 1/4)) (/.f64 y (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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 (/.f64 1 (sqrt.f64 x)) (/.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 (*.f64 (sqrt.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (/.f64 y 3)) -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 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3)) (cbrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9)) (cbrt.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 1/4) (pow.f64 (*.f64 x 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) 3)))))))

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
70 → 60
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))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts
4 → 26
Calls

18 calls:

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

rewrite134.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
544×prod-diff_binary64
463×log-prod_binary64
311×fma-def_binary64
288×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
121127
2259227
Stop Event
1×node limit
Counts
4 → 155
Calls
Call 1
Inputs
(*.f64 -1/3 y)
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(sqrt.f64 (/.f64 1 x))
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1/3 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/3 y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 1/9 (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.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 exp.f64 (*.f64 (log.f64 (*.f64 -1/3 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/3 y)) 1) 1))))))
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(/.f64 -1/3 (sqrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (*.f64 y (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 y) (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 -1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 2) (cbrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (pow.f64 x -1/6) (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 2) (*.f64 (cbrt.f64 (*.f64 -1/3 y)) (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (*.f64 (pow.f64 x -1/4) (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/3 y)) (*.f64 (sqrt.f64 (*.f64 -1/3 y)) (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/3 y) (/.f64 1 (cbrt.f64 x))) (pow.f64 x -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/3 y) (pow.f64 x -1/4)) (pow.f64 x -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x -1/2) y) -1/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 2)) (cbrt.f64 (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (*.f64 -1/3 y))) (sqrt.f64 (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) 1) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 y) 1)))))

simplify16.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
6×fma-def_binary64
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010306
117288
227288
333288
Stop Event
1×saturated
Counts
181 → 160
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))))
1
1
1
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.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))
1
1
1
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 39 to 25 computations (35.9% saved)

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)

rewrite51.0ms (0.9%)

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)))))))

simplify11.0ms (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

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 48 to 33 computations (31.3% saved)

series5.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

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

rewrite62.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114815
2178115
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(/.f64 1/3 (sqrt.f64 x))
(*.f64 (/.f64 1/3 (sqrt.f64 x)) y)
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 1/3 (/.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
55 → 45
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))

eval183.0ms (3.1%)

Compiler

Compiled 7800 to 5818 computations (25.4% saved)

prune105.0ms (1.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New49310503
Fresh527
Picked101
Done314
Total50213515
Error
0b
Counts
515 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
21.7b
(+.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3))
✓21.4b
(+.f64 1 (/.f64 -1/9 x))
▶22.2b
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
21.3b
(+.f64 1 (pow.f64 (*.f64 x -9) -1))
0.4b
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶21.4b
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
22.1b
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
22.2b
(+.f64 1 (+.f64 0 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))
13.0b
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
43.4b
1
▶0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
▶22.1b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
Compiler

Compiled 292 to 241 computations (17.5% saved)

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 40 to 29 computations (27.5% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 25 to 17 computations (32% 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)))

rewrite55.0ms (0.9%)

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)))))))

simplify14.0ms (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)

localize21.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 25 to 15 computations (40% saved)

series52.0ms (0.9%)

Counts
2 → 26
Calls

12 calls:

TimeVariablePointExpression
45.0ms
x
@inf
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
1.0ms
x
@-inf
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
1.0ms
x
@-inf
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
1.0ms
x
@inf
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
1.0ms
y
@0
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))

rewrite98.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
469×prod-diff_binary64
445×log-prod_binary64
345×exp-prod_binary64
243×pow-prod-down_binary64
235×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0921
119020
2249919
Stop Event
1×node limit
Counts
2 → 130
Calls
Call 1
Inputs
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 y (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 y (sqrt.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -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 -1/3 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x)) (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -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 -1/3 (/.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -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 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 x)) (/.f64 -1/3 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 -1/3 y) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify28.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
6×fma-def_binary64
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010306
117288
227288
333288
Stop Event
1×saturated
Counts
156 → 135
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))))
1
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
1
1
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))
1
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
1
1

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
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 37 to 27 computations (27% saved)

series12.0ms (0.2%)

Counts
3 → 5
Calls

18 calls:

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

rewrite154.0ms (2.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify10.0ms (0.2%)

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

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 55 to 39 computations (29.1% saved)

series3.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

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

rewrite183.0ms (3.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0915
119113
2235713
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3))
(/.f64 1 (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 x) (/.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sqrt.f64 x) 3) y))))) (#(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 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (pow.f64 (cbrt.f64 y) 2) (/.f64 (*.f64 (sqrt.f64 x) 3) (cbrt.f64 y)))))) (#(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 (sqrt.f64 y) (/.f64 (*.f64 (sqrt.f64 x) 3) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 3 y) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 x)) 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 (neg.f64 (/.f64 y (sqrt.f64 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 y)) (*.f64 (neg.f64 (sqrt.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 -3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (*.f64 3 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -1) (*.f64 -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 (neg.f64 y) (pow.f64 x -1/2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 y)) -3)))) (#(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 (/.f64 y (sqrt.f64 x)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y 1/3) 3) (pow.f64 x 3/2)))))) (#(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 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 expm1.f64 (log1p.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y (sqrt.f64 x)) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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)))))))

simplify20.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
115144
222144
324144
Stop Event
1×saturated
Counts
79 → 69
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))

eval509.0ms (8.6%)

Compiler

Compiled 8056 to 5697 computations (29.3% saved)

prune99.0ms (1.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New53610546
Fresh347
Picked101
Done235
Total54217559
Error
0b
Counts
559 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
▶21.7b
(+.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3))
✓21.4b
(+.f64 1 (/.f64 -1/9 x))
▶43.4b
(+.f64 1 (/.f64 1/9 x))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
22.1b
(+.f64 1 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))))
▶22.2b
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
22.2b
(+.f64 1 (*.f64 -1/3 (/.f64 1 (/.f64 (sqrt.f64 x) y))))
0.4b
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓21.4b
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
22.2b
(+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
13.0b
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶41.9b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
43.4b
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
21.3b
(+.f64 1 (pow.f64 (*.f64 x -9) -1))
▶0.3b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
41.9b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
43.4b
1
Compiler

Compiled 332 to 273 computations (17.8% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 46 to 31 computations (32.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

localize15.0ms (0.3%)

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)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 26 to 15 computations (42.3% saved)

series4.0ms (0.1%)

Counts
2 → 26
Calls

12 calls:

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

rewrite69.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
926×pow1_binary64
865×add-log-exp_binary64
865×log1p-expm1-u_binary64
865×expm1-log1p-u_binary64
848×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
119119
2237519
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1) 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 (/.f64 -1/3 (sqrt.f64 x)) y) 1)))) (#(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 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3))))) (#(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)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))) (/.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (-.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)) 2) (cbrt.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)) (sqrt.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (/.f64 1/9 x) (*.f64 y y))) (/.f64 1 (-.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))) (+.f64 1 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (-.f64 1 (*.f64 (/.f64 1/9 x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3)) (+.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (-.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 1/9 x) (*.f64 y y))) (-.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3))) (neg.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (/.f64 1/9 x) (*.f64 y y)))) (neg.f64 (-.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) 1) (-.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/3 (sqrt.f64 x)) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (sqrt.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) 1)))))

simplify15.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
6×fma-def_binary64
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010306
117288
227288
333288
Stop Event
1×saturated
Counts
79 → 58
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))))
1
1
1
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.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))
1
1
1
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) 1)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 -1/9 x)
✓0.6b
(cbrt.f64 (/.f64 -1/9 x))
✓0.7b
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
Compiler

Compiled 27 to 22 computations (18.5% saved)

series10.0ms (0.2%)

Counts
2 → 0
Calls

6 calls:

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

rewrite57.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115610
2155210
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)
(cbrt.f64 (/.f64 -1/9 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/9 x)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/9 x) 1/6) (*.f64 (pow.f64 (/.f64 -1/9 x) 1/6) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/9 x)) (sqrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))) 2) 3) (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -1/9 x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 -1/9 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) 1) (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (pow.f64 (/.f64 -1/9 x) 1/6)) (pow.f64 (/.f64 -1/9 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x -9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 -1/9) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/9 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 -1/9) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 -1/9)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 -1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/9) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/9) (pow.f64 (/.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/9) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/9 x) 1/6) (pow.f64 (/.f64 -1/9 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 x -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -1/9) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/9) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 -1/9)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1/9 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/9 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 -1/9 x))))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval145.0ms (2.5%)

Compiler

Compiled 5115 to 3777 computations (26.2% saved)

prune65.0ms (1.1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New39010400
Fresh459
Picked011
Done347
Total39720417
Error
0b
Counts
417 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.7b
(+.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3))
✓21.4b
(+.f64 1 (/.f64 -1/9 x))
✓43.4b
(+.f64 1 (/.f64 1/9 x))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
42.0b
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
21.4b
(+.f64 1 (*.f64 (/.f64 1 x) -1/9))
✓22.2b
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
43.4b
(+.f64 1 (*.f64 (/.f64 1 x) 1/9))
0.4b
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
21.5b
(+.f64 1 (/.f64 (/.f64 -1/9 (sqrt.f64 x)) (sqrt.f64 x)))
22.1b
(+.f64 1 (*.f64 (*.f64 (pow.f64 x -1/2) -1/3) y))
22.1b
(+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3)))
41.9b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
42.0b
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
13.0b
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
21.3b
(+.f64 1 (/.f64 1 (*.f64 x -9)))
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (pow.f64 x -1/2) (/.f64 3 y)))
41.9b
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
43.4b
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
43.4b
1
Compiler

Compiled 204 to 166 computations (18.6% saved)

regimes99.0ms (1.7%)

Counts
44 → 1
Calls
Call 1
Inputs
1
1
(+.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (*.f64 (/.f64 1 x) -1/9))
(+.f64 1 (*.f64 (/.f64 1 x) 1/9))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(+.f64 1 (pow.f64 (*.f64 x -9) -1))
(+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
(+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(+.f64 1 (*.f64 (*.f64 (pow.f64 x -1/2) -1/3) y))
(+.f64 1 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))))
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
(+.f64 1 (*.f64 -1/3 (/.f64 1 (/.f64 (sqrt.f64 x) y))))
(+.f64 1 (+.f64 0 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.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 3 y)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
(-.f64 (-.f64 1 (*.f64 (/.f64 1 x) 1/9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
(+.f64 1 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3))
(+.f64 1 (/.f64 (/.f64 -1/9 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 9)) 3/2)))
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
Calls

4 calls:

22.0ms
y
21.0ms
x
20.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
20.0ms
(-.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 464 to 343 computations (26.1% saved)

regimes41.0ms (0.7%)

Counts
32 → 1
Calls
Call 1
Inputs
1
1
(+.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (*.f64 (/.f64 1 x) -1/9))
(+.f64 1 (*.f64 (/.f64 1 x) 1/9))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(+.f64 1 (pow.f64 (*.f64 x -9) -1))
(+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
(+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(+.f64 1 (*.f64 (*.f64 (pow.f64 x -1/2) -1/3) y))
(+.f64 1 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))))
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
(+.f64 1 (*.f64 -1/3 (/.f64 1 (/.f64 (sqrt.f64 x) y))))
(+.f64 1 (+.f64 0 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(-.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 3 y)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
Outputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
Calls

2 calls:

16.0ms
x
16.0ms
y
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
Compiler

Compiled 270 to 200 computations (25.9% saved)

regimes69.0ms (1.2%)

Counts
27 → 3
Calls
Call 1
Inputs
1
1
(+.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (*.f64 (/.f64 1 x) -1/9))
(+.f64 1 (*.f64 (/.f64 1 x) 1/9))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(+.f64 1 (pow.f64 (*.f64 x -9) -1))
(+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
(+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(+.f64 1 (*.f64 (*.f64 (pow.f64 x -1/2) -1/3) y))
(+.f64 1 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))))
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y)))
(+.f64 1 (*.f64 -1/3 (/.f64 1 (/.f64 (sqrt.f64 x) y))))
(+.f64 1 (+.f64 0 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
Outputs
(+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3)))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3)))
Calls

2 calls:

36.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
8.9b2x
2.2b3y
Compiler

Compiled 207 to 155 computations (25.1% saved)

bsearch29.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
0.0ms
2.839918276916226e+101
2.959460768430852e+101
28.0ms
-3.1868610762008427e+37
-1.9796197893867346e+35
Compiler

Compiled 21 to 17 computations (19% saved)

regimes57.0ms (1%)

Counts
13 → 3
Calls
Call 1
Inputs
1
1
(+.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (*.f64 (/.f64 1 x) -1/9))
(+.f64 1 (*.f64 (/.f64 1 x) 1/9))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(+.f64 1 (pow.f64 (*.f64 x -9) -1))
Outputs
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
Calls

2 calls:

34.0ms
x
20.0ms
y
Results
ErrorSegmentsBranch
19.2b5x
2.8b3y
Compiler

Compiled 82 to 65 computations (20.7% saved)

bsearch27.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
0.0ms
2.839918276916226e+101
2.959460768430852e+101
26.0ms
-6.128497353419894e+61
-3.9295506916341074e+59
Compiler

Compiled 21 to 17 computations (19% saved)

regimes53.0ms (0.9%)

Counts
11 → 3
Calls
Call 1
Inputs
1
1
(+.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (*.f64 (/.f64 1 x) -1/9))
(+.f64 1 (*.f64 (/.f64 1 x) 1/9))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
Outputs
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
Calls

2 calls:

30.0ms
x
18.0ms
y
Results
ErrorSegmentsBranch
19.3b5x
2.8b3y
Compiler

Compiled 68 to 54 computations (20.6% saved)

bsearch27.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
0.0ms
2.839918276916226e+101
2.959460768430852e+101
26.0ms
-6.128497353419894e+61
-3.9295506916341074e+59
Compiler

Compiled 21 to 17 computations (19% saved)

regimes56.0ms (0.9%)

Counts
10 → 3
Calls
Call 1
Inputs
1
1
(+.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (*.f64 (/.f64 1 x) -1/9))
(+.f64 1 (*.f64 (/.f64 1 x) 1/9))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
Outputs
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
Calls

2 calls:

35.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
19.3b5x
2.8b3y
Compiler

Compiled 62 to 51 computations (17.7% saved)

bsearch26.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
0.0ms
2.839918276916226e+101
2.959460768430852e+101
25.0ms
-6.128497353419894e+61
-3.9295506916341074e+59
Compiler

Compiled 21 to 17 computations (19% saved)

regimes16.0ms (0.3%)

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

2 calls:

7.0ms
y
6.0ms
x
Results
ErrorSegmentsBranch
21.3b1x
21.3b1y
Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes13.0ms (0.2%)

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

2 calls:

6.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
21.4b1x
21.4b1y
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

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

2 calls:

4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
43.4b1x
43.4b1y
Compiler

Compiled 15 to 12 computations (20% saved)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
11×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051225
170225
285225
393225
498225
599225
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(if (<=.f64 y -31868610762008426901940646161823039488) (+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3))) (if (<=.f64 y 289999999999999987127818391798814595307306286942743000521996947705431633126629363113452062742971154432) (+.f64 1 (/.f64 1 (*.f64 x -9))) (+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3)))))
(if (<=.f64 y -61284973534198940223046738724581722035271379914300276797865984) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))) (if (<=.f64 y 289999999999999987127818391798814595307306286942743000521996947705431633126629363113452062742971154432) (+.f64 1 (/.f64 1 (*.f64 x -9))) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))
(if (<=.f64 y -61284973534198940223046738724581722035271379914300276797865984) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) (if (<=.f64 y 289999999999999987127818391798814595307306286942743000521996947705431633126629363113452062742971154432) (+.f64 1 (/.f64 1 (*.f64 x -9))) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))
(if (<=.f64 y -61284973534198940223046738724581722035271379914300276797865984) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) (if (<=.f64 y 289999999999999987127818391798814595307306286942743000521996947705431633126629363113452062742971154432) (+.f64 1 (/.f64 1 (*.f64 x -9))) (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(+.f64 1 (/.f64 -1/9 x))
1
Outputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(if (<=.f64 y -31868610762008426901940646161823039488) (+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3))) (if (<=.f64 y 289999999999999987127818391798814595307306286942743000521996947705431633126629363113452062742971154432) (+.f64 1 (/.f64 1 (*.f64 x -9))) (+.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) -3)))))
(if (<=.f64 y -61284973534198940223046738724581722035271379914300276797865984) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))) (if (<=.f64 y 289999999999999987127818391798814595307306286942743000521996947705431633126629363113452062742971154432) (+.f64 1 (/.f64 1 (*.f64 x -9))) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))
(if (<=.f64 y -61284973534198940223046738724581722035271379914300276797865984) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) (if (<=.f64 y 289999999999999987127818391798814595307306286942743000521996947705431633126629363113452062742971154432) (+.f64 1 (/.f64 1 (*.f64 x -9))) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))
(if (<=.f64 y -61284973534198940223046738724581722035271379914300276797865984) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) (if (<=.f64 y 289999999999999987127818391798814595307306286942743000521996947705431633126629363113452062742971154432) (+.f64 1 (/.f64 1 (*.f64 x -9))) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(if (<=.f64 y -61284973534198940223046738724581722035271379914300276797865984) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) (if (<=.f64 y 289999999999999987127818391798814595307306286942743000521996947705431633126629363113452062742971154432) (+.f64 1 (/.f64 1 (*.f64 x -9))) (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 1 (/.f64 1 (*.f64 x -9)))
(+.f64 1 (/.f64 -1/9 x))
1
Compiler

Compiled 171 to 131 computations (23.4% saved)

soundness0.0ms (0%)

end87.0ms (1.5%)

Compiler

Compiled 155 to 112 computations (27.7% saved)

Profiling

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