Details

Time bar (total: 7.1s)

analyze39.0ms (0.6%)

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)

sample1.1s (15.8%)

Results
1.1s8256×body256valid
20.0ms162×body256invalid

preprocess179.0ms (2.5%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 15 computations (16.7% saved)

simplify48.0ms (0.7%)

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

Useful iterations: 4 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 27 to 20 computations (25.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 29 to 23 computations (20.7% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))
✓0.3b
(/.f64 -1/9 x)
✓0.4b
(/.f64 -1/3 (sqrt.f64 x))
Compiler

Compiled 36 to 22 computations (38.9% saved)

series10.0ms (0.1%)

Counts
3 → 13
Calls

12 calls:

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

rewrite72.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify38.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 48 to 33 computations (31.3% saved)

series8.0ms (0.1%)

Counts
3 → 24
Calls

12 calls:

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

rewrite74.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01122
122719
2277119
Stop Event
1×node limit
Counts
3 → 135
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x 9))
(/.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 3 (sqrt.f64 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 (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)) (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 -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 (pow.f64 x -1) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (pow.f64 x -1))))) (#(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 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 (*.f64 3 (sqrt.f64 x)) -2)))) (#(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 x 9) -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 (cbrt.f64 (*.f64 x 9)) -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 x 9) -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 (*.f64 3 (log.f64 (/.f64 1/9 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/9 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.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) 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) 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) (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 (sqrt.f64 x) (*.f64 y 1/3)) -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 (sqrt.f64 x) (*.f64 y 1/3)) -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 (sqrt.f64 x) (*.f64 y 1/3)) 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 (sqrt.f64 x) (*.f64 y 1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 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 (log.f64 (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y 1/3)) -3)) 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 (sqrt.f64 x) (*.f64 y 1/3))) -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)))))))
((#(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 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 x 9)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1) 1))))))

simplify13.0ms (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))

eval83.0ms (1.2%)

Compiler

Compiled 3451 to 2529 computations (26.7% saved)

prune44.0ms (0.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New18717204
Fresh000
Picked101
Done101
Total18917206
Error
0b
Counts
206 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(+.f64 1 (fma.f64 y (pow.f64 (cbrt.f64 (/.f64 -1/3 (sqrt.f64 x))) 3) (/.f64 -1/9 x)))
▶21.0b
(+.f64 1 (/.f64 -1/9 x))
18.2b
(-.f64 (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 x 9) -3))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.4b
(-.f64 (-.f64 1 (pow.f64 (*.f64 3 (sqrt.f64 x)) -2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) -1/2) (/.f64 y (pow.f64 (*.f64 x 9) 1/4))))
0.5b
(-.f64 (-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
21.5b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2)))
19.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))
▶12.9b
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(+.f64 1 (+.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x)))
0.5b
(-.f64 (-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) -2) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3))))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
21.6b
(+.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))))
0.3b
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))))
Compiler

Compiled 570 to 464 computations (18.6% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(sqrt.f64 (*.f64 x 9))
✓0.3b
(/.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
x
@inf
(/.f64 y (sqrt.f64 (*.f64 x 9)))
0.0ms
y
@0
(/.f64 y (sqrt.f64 (*.f64 x 9)))
0.0ms
x
@0
(sqrt.f64 (*.f64 x 9))

rewrite187.0ms (2.6%)

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

Compiled 13 to 10 computations (23.1% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite49.0ms (0.7%)

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)))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) 81)
0.2b
(*.f64 3 (sqrt.f64 x))
0.3b
(/.f64 y (*.f64 3 (sqrt.f64 x)))
✓30.1b
(pow.f64 (*.f64 (*.f64 x x) 81) -1/2)
Compiler

Compiled 60 to 35 computations (41.7% saved)

series76.0ms (1.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
60.0ms
x
@0
(pow.f64 (*.f64 (*.f64 x x) 81) -1/2)
14.0ms
x
@inf
(pow.f64 (*.f64 (*.f64 x x) 81) -1/2)
1.0ms
x
@-inf
(pow.f64 (*.f64 (*.f64 x x) 81) -1/2)
0.0ms
x
@inf
(*.f64 (*.f64 x x) 81)
0.0ms
x
@-inf
(*.f64 (*.f64 x x) 81)

rewrite132.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115217
2169217
Stop Event
1×node limit
Counts
2 → 29
Calls
Call 1
Inputs
(pow.f64 (*.f64 (*.f64 x x) 81) -1/2)
(*.f64 (*.f64 x x) 81)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x -1) (pow.f64 81 -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1) (pow.f64 81 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x -1) (pow.f64 81 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -1) (pow.f64 81 -1/2))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 81)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 81)) -1)) (cbrt.f64 (*.f64 (pow.f64 x -1) (pow.f64 81 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (pow.f64 81 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 81 -1/2) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x 81)) -1/4) (pow.f64 (*.f64 x (*.f64 x 81)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 (*.f64 x 81) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (*.f64 (pow.f64 x -1) (pow.f64 81 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 6561)) -1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 81))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/2) (pow.f64 (*.f64 x 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 81)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -1)) (pow.f64 81 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -1) (pow.f64 81 -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -1) (pow.f64 81 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -1) (pow.f64 81 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (*.f64 x (*.f64 x 81)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 81))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 81)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 81)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 81))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 6561))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 81) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 81)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 81))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 81))))))))

simplify64.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
744×fma-neg_binary64
509×associate-/r*_binary64
414×unswap-sqr_binary64
392×associate-*l*_binary64
365×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028276
168240
2163204
3399168
41066168
53887168
Stop Event
1×node limit
Counts
53 → 35
Calls
Call 1
Inputs
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 2 (log.f64 x)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 2 (log.f64 x)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 2 (log.f64 x)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 2 (log.f64 x)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 81))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 81))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 81))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 81))))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (pow.f64 x 2))
Outputs
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 2 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 81) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 81))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 81))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 81))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 81))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 81) (*.f64 2 (log.f64 x))))
(exp.f64 (fma.f64 -1/2 (log.f64 81) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 81 -1/2))
(/.f64 (pow.f64 81 -1/2) x)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)
(*.f64 81 (pow.f64 x 2))
(*.f64 81 (*.f64 x x))
(*.f64 x (*.f64 x 81))
(*.f64 (*.f64 x x) 81)

localize95.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 3 (sqrt.f64 x))
✓0.3b
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
0.3b
(/.f64 1 (*.f64 x 9))
✓0.3b
(*.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) -1/2) (/.f64 y (pow.f64 (*.f64 x 9) 1/4)))
Compiler

Compiled 84 to 62 computations (26.2% saved)

series247.0ms (3.5%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
178.0ms
y
@0
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
31.0ms
y
@0
(*.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) -1/2) (/.f64 y (pow.f64 (*.f64 x 9) 1/4)))
14.0ms
x
@-inf
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
10.0ms
x
@inf
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
8.0ms
x
@0
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))

rewrite74.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
656×log-prod_binary64
395×pow-prod-down_binary64
345×pow2_binary64
320×pow-unpow_binary64
248×pow-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01431
130420
2367720
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) -1/2) (/.f64 y (pow.f64 (*.f64 x 9) 1/4)))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 x 9) -1/4) (/.f64 (pow.f64 (*.f64 x 9) 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (*.f64 x 9) 1/4) (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)) (neg.f64 (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) 1) (pow.f64 (*.f64 x 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/6)) (pow.f64 (*.f64 x 9) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/8)) (pow.f64 (*.f64 x 9) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 x 1/4)) (pow.f64 81 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (pow.f64 (*.f64 x 9) -1/4)) (neg.f64 (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) (neg.f64 y)) (neg.f64 (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x 9) 1/4) y) (pow.f64 (*.f64 x 9) 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) 1/4) (/.f64 (pow.f64 (*.f64 x 9) 1/4) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x 9) 1/4) (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 (*.f64 x 9) -1/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/4) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (*.f64 x 9) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) -1/12)) (cbrt.f64 (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 x 9)))) (*.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) -1/2)) (*.f64 (pow.f64 (*.f64 x 9) -1/12) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8)) (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 3 -1/2) (*.f64 (pow.f64 x -1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (/.f64 y (pow.f64 81 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (pow.f64 (*.f64 x 9) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/8) (/.f64 y (pow.f64 (*.f64 x 9) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/8) (*.f64 (pow.f64 (*.f64 x 9) -1/8) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/6) (/.f64 y (pow.f64 (*.f64 x 9) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (*.f64 x 9) 1/6)) (*.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) 1/6)) (/.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (*.f64 x 9) 1/8)) (/.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 y) (pow.f64 81 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 x 1/4)) (/.f64 (sqrt.f64 y) (pow.f64 81 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 x 9))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -3/4) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) -1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x 9) 1/4) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) 3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x 9) 1/4) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/12) (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) -3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (pow.f64 (*.f64 x 9) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) -3/4) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)) 1))))))

simplify66.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
791×associate-/l*_binary64
392×div-sub_binary64
377×associate-/l/_binary64
368×unswap-sqr_binary64
305×fma-def_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
038480
188480
2192480
3440480
41144480
52021480
64109456
Stop Event
1×node limit
Counts
116 → 87
Calls
Call 1
Inputs
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
Outputs
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 (*.f64 y (sqrt.f64 1/3)) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x))) (pow.f64 1/9 1/4)))
(*.f64 y (*.f64 (pow.f64 1/9 1/4) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/9 1/4))))
(*.f64 y (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (sqrt.f64 (/.f64 1 x)))))
(*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 1/9 1/4) (*.f64 y (pow.f64 x -1/2))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(/.f64 y (pow.f64 (*.f64 x 9) 1/4))

eval253.0ms (3.6%)

Compiler

Compiled 10709 to 8005 computations (25.2% saved)

prune136.0ms (1.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New5338541
Fresh8412
Picked101
Done134
Total54315558
Error
0b
Counts
558 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
✓21.0b
(+.f64 1 (/.f64 -1/9 x))
21.0b
(+.f64 1 (pow.f64 (*.f64 x -9) -1))
19.3b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/4)))
0.5b
(-.f64 (-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶21.5b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 (*.f64 x 9) -1/2) y))
✓12.9b
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.4b
(-.f64 (-.f64 1 (pow.f64 (*.f64 3 (sqrt.f64 x)) -2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (*.f64 (pow.f64 x -1/2) (pow.f64 (*.f64 x 81) -1/2))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶21.0b
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
0.3b
(-.f64 (-.f64 1 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
21.6b
(+.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))))
Compiler

Compiled 417 to 339 computations (18.7% saved)

localize106.0ms (1.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (*.f64 x 9) 1/4)
✓0.3b
(*.f64 (pow.f64 (*.f64 x 9) -1/4) y)
0.3b
(/.f64 1 (*.f64 x 9))
✓0.3b
(/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/4))
Compiler

Compiled 74 to 58 computations (21.6% saved)

series62.0ms (0.9%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
16.0ms
y
@0
(/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/4))
13.0ms
x
@0
(pow.f64 (*.f64 x 9) 1/4)
13.0ms
x
@-inf
(pow.f64 (*.f64 x 9) 1/4)
11.0ms
x
@inf
(pow.f64 (*.f64 x 9) 1/4)
4.0ms
y
@-inf
(/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/4))

rewrite297.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
593×log-prod_binary64
331×pow-prod-down_binary64
302×pow2_binary64
217×pow-unpow_binary64
208×pow-to-exp_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01136
124727
2307626
Stop Event
1×node limit
Counts
3 → 112
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/4))
(*.f64 (pow.f64 (*.f64 x 9) -1/4) y)
(pow.f64 (*.f64 x 9) 1/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (sqrt.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/4) (*.f64 (pow.f64 (*.f64 x 9) -1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/4) (/.f64 1 (/.f64 (pow.f64 (*.f64 x 9) 1/4) y)))))) (#(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 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sqrt.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))) (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))) 2) (cbrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 y (sqrt.f64 (*.f64 x 9))))) (*.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/12) (cbrt.f64 y)) (pow.f64 (*.f64 x 9) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))) (sqrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8)) (*.f64 (*.f64 (sqrt.f64 y) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8)) 1) (/.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8)) (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x 9) -1/4) (cbrt.f64 (sqrt.f64 (*.f64 x 9)))) (/.f64 y (pow.f64 (*.f64 x 9) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (sqrt.f64 (*.f64 x 9)))) (/.f64 (pow.f64 (*.f64 x 9) -1/4) (pow.f64 (*.f64 x 9) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/12) -2) (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y (/.f64 y (sqrt.f64 (*.f64 x 9))))) (cbrt.f64 (sqrt.f64 (*.f64 x 9)))) (cbrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8)) (cbrt.f64 (sqrt.f64 (*.f64 x 9)))) (/.f64 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(sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8)) (pow.f64 9 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 x 9)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -3/4) (pow.f64 y 3)) (pow.f64 (*.f64 x 9) 3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 x 9)) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -3/4) (*.f64 (pow.f64 (*.f64 x 9) -3/4) (pow.f64 y 3))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/12) (*.f64 (pow.f64 (*.f64 x 9) -1/12) (cbrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/8) (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x 9) -3/4) (pow.f64 y 3)) (pow.f64 (*.f64 x 9) -3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (neg.f64 (pow.f64 (*.f64 x 9) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -3/4) (pow.f64 y 3)) (pow.f64 (*.f64 x 9) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (*.f64 x 9))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 9)) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 (*.f64 x 9)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 y (sqrt.f64 (*.f64 x 9)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -3/4) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/12) (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (/.f64 y (sqrt.f64 (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 (*.f64 x 9) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) -3/4) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x 9) -3/4) (pow.f64 y 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/12) (cbrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 9) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 9) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x 9) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x 9) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x 9) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 1/12) (cbrt.f64 (sqrt.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9))) (pow.f64 (*.f64 x 9) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 9 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 1/8) (pow.f64 (*.f64 x 9) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 9))) (pow.f64 (*.f64 x 9) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 x 9) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 9) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 9) 3/4)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 9))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 9) 1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/8 (log.f64 (*.f64 x 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 9)) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 x 9))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 9)) 1/8) 2))))))

simplify72.0ms (1%)

Algorithm
1×egg-herbie
Rules
590×unswap-sqr_binary64
477×associate-*l*_binary64
476×associate-/l*_binary64
392×fma-def_binary64
356×associate-*r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
051768
1128720
2292612
3624504
41441504
54240480
Stop Event
1×node limit
Counts
160 → 123
Calls
Call 1
Inputs
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
Outputs
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (*.f64 (pow.f64 1/81 1/4) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (pow.f64 1/81 1/4)))
(*.f64 (pow.f64 1/81 1/4) (*.f64 y (pow.f64 x -1/2)))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 1/9) (*.f64 -1 (log.f64 x))))))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/9)))) y)
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1/9)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(*.f64 y (pow.f64 (/.f64 1/9 x) 1/4))
(*.f64 y (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 1/9) (neg.f64 (log.f64 x)))))
(*.f64 y (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 1/9) (log.f64 x))))
(*.f64 y (*.f64 (pow.f64 x -1/4) (pow.f64 1/9 1/4)))
(*.f64 y (pow.f64 (*.f64 x 9) -1/4))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 9)))
(*.f64 (pow.f64 9 1/4) (pow.f64 x 1/4))
(pow.f64 (*.f64 x 9) 1/4)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.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)))

rewrite100.0ms (1.4%)

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)))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
Stop Event
1×saturated
Counts
28 → 16
Calls
Call 1
Inputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
Outputs
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)
(/.f64 -1/9 x)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
✓0.1b
(sqrt.f64 (/.f64 1 x))
✓0.3b
(*.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)

series11.0ms (0.2%)

Counts
4 → 5
Calls

21 calls:

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

rewrite108.0ms (1.5%)

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
01042
121129
2259929
Stop Event
1×node limit
Counts
4 → 166
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 y (sqrt.f64 (/.f64 1 x)))
(sqrt.f64 (/.f64 1 x))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
Outputs
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(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)))))

simplify13.0ms (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
171 → 169
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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 39 to 25 computations (35.9% saved)

series4.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

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

rewrite64.0ms (0.9%)

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)))))))))

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
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))

localize30.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 49 to 38 computations (22.4% saved)

series52.0ms (0.7%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
46.0ms
y
@-inf
(*.f64 (pow.f64 (*.f64 x 9) -1/2) y)
1.0ms
x
@inf
(*.f64 (pow.f64 (*.f64 x 9) -1/2) y)
1.0ms
x
@0
(*.f64 (pow.f64 (*.f64 x 9) -1/2) y)
1.0ms
y
@0
(*.f64 (pow.f64 (*.f64 x 9) -1/2) y)
1.0ms
x
@-inf
(pow.f64 (*.f64 x 9) -1/2)

rewrite69.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
748×pow1_binary64
696×add-log-exp_binary64
696×log1p-expm1-u_binary64
696×expm1-log1p-u_binary64
680×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117017
2190917
Stop Event
1×node limit
Counts
2 → 30
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 x 9) -1/2) y)
(pow.f64 (*.f64 x 9) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x 9) -1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/2) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/2) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x 9) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x 9) -1) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x 9) -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/2) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x 9) -1/2) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (pow.f64 (*.f64 x 9) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/2) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 x 9) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) -1/2)) (cbrt.f64 (pow.f64 (*.f64 x 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) -1)) (cbrt.f64 (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 9 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))))) (#(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 (pow.f64 1 -1/2) (pow.f64 (*.f64 x 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) -1/2) (pow.f64 (cbrt.f64 (*.f64 x 9)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 x) 3) -1/2) (pow.f64 (*.f64 (sqrt.f64 x) 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 9) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (*.f64 x 9))))))))

simplify66.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
578×div-sub_binary64
551×fma-def_binary64
539×fma-neg_binary64
512×associate-*l*_binary64
307×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030300
172300
2167264
3332204
4733204
51927204
65951204
Stop Event
1×node limit
Counts
54 → 36
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))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
Outputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (*.f64 1/3 y))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x 9) -1/2)

eval251.0ms (3.5%)

Compiler

Compiled 9112 to 7005 computations (23.1% saved)

prune346.0ms (4.9%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New50510515
Fresh257
Picked101
Done437
Total51218530
Error
0b
Counts
530 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.0b
(+.f64 1 (/.f64 -1/9 x))
21.0b
(+.f64 1 (pow.f64 (*.f64 x -9) -1))
21.6b
(+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
✓12.9b
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
▶21.6b
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
0.3b
(-.f64 (-.f64 1 (*.f64 (pow.f64 x -1/2) (pow.f64 (*.f64 x 81) -1/2))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
42.0b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
42.4b
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
▶41.9b
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
▶42.4b
(+.f64 1 (/.f64 1/9 x))
42.4b
1
0.5b
(-.f64 (-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 (*.f64 x 9) -1/2) y))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y))
0.4b
(-.f64 (-.f64 1 (pow.f64 (*.f64 3 (sqrt.f64 x)) -2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓21.0b
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
▶0.3b
(-.f64 (-.f64 1 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
21.5b
(+.f64 1 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))))
Compiler

Compiled 400 to 326 computations (18.5% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 26 computations (27.8% saved)

series5.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

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

rewrite55.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114815
2175115
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1/9 x)) y)
(sqrt.f64 (/.f64 1/9 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (*.f64 (pow.f64 (/.f64 1/9 x) 3/2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/9 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))))))))

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
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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 1 x))
0.3b
(*.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)

localize31.0ms (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))
✓0.3b
(*.f64 -1/3 y)
Compiler

Compiled 25 to 15 computations (40% saved)

series6.0ms (0.1%)

Counts
3 → 26
Calls

15 calls:

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

rewrite179.0ms (2.5%)

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
0925
119024
2249923
Stop Event
1×node limit
Counts
3 → 154
Calls
Call 1
Inputs
(*.f64 -1/3 y)
(/.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 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (E.f64) (log.f64 (*.f64 -1/3 y)))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/3 y))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/3 y)))) (sqrt.f64 (log.f64 (*.f64 -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))
((#(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 (/.f64 (sqrt.f64 (*.f64 -1/3 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 -1/3 y)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 x 1/4)) (/.f64 -1/3 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) (/.f64 (*.f64 -1/3 y) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 2) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (*.f64 -1/3 y)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (*.f64 -1/3 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 x) (*.f64 -1/3 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -1/3 y) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x))))) (#(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 -1/3 (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (*.f64 -1/3 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/3 (/.f64 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 -1/3 y) 3) (pow.f64 x -3/2) 1) (/.f64 1 (fma.f64 (*.f64 -1/3 (/.f64 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 (/.f64 (*.f64 1/9 (*.f64 y y)) x)) (/.f64 1 (-.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) -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 -1/3 (/.f64 y (sqrt.f64 x))))) (/.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x) (-.f64 1 (*.f64 -1/3 (/.f64 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 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(*.f64 1/9 (*.f64 y y)) x) (-.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 y y)) x)) (-.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 -1/3 y) 3) (pow.f64 x -3/2) 1)) (neg.f64 (fma.f64 (*.f64 -1/3 (/.f64 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 (/.f64 (*.f64 1/9 (*.f64 y y)) x))) (neg.f64 (-.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x) 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 -1/3 (/.f64 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 -1/3 (/.f64 y (sqrt.f64 x))) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) -1) 1) (fma.f64 (pow.f64 (*.f64 -1/3 y) 3) (pow.f64 x -3/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 y y)) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) 2)) (cbrt.f64 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))) (sqrt.f64 (log1p.f64 (*.f64 -1/3 (/.f64 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 -1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 -1/3 (/.f64 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 -1/3 (/.f64 1 (/.f64 (sqrt.f64 x) y)) 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 (pow.f64 x -1/2)) 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 -1/3 (/.f64 y (sqrt.f64 x))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 y y)) x)) (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 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 (sqrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 -1/3 (/.f64 y (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 y 1/3) (/.f64 1 (neg.f64 (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 1) (/.f64 -1/3 (sqrt.f64 x)) 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 (pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -1/3 y)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 -1/3 y)) 1) (/.f64 (sqrt.f64 (*.f64 -1/3 y)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/3 (cbrt.f64 x)) (/.f64 y (pow.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (cbrt.f64 x)) (/.f64 -1/3 (pow.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (*.f64 -1/3 y) (pow.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 -1/3 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 -1/3 y)) (pow.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/3 (pow.f64 x 1/4)) (/.f64 y (pow.f64 x 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (pow.f64 x 1/4)) (/.f64 -1/3 (pow.f64 x 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (/.f64 (*.f64 -1/3 y) (pow.f64 x 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 2) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (*.f64 -1/3 y)) (pow.f64 x 1/4)) 1)))))

simplify17.0ms (0.2%)

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
180 → 159
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

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 3 (sqrt.f64 x))
0.3b
(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b
(/.f64 1/9 x)
✓0.5b
(pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)
Compiler

Compiled 56 to 40 computations (28.6% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)

rewrite52.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
554×pow1_binary64
526×add-log-exp_binary64
526×log1p-expm1-u_binary64
526×expm1-log1p-u_binary64
515×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
11544
214874
Stop Event
1×node limit
Counts
1 → 29
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)
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 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(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 (cbrt.f64 (/.f64 1/9 x)) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (*.f64 (pow.f64 (/.f64 1/9 x) 1/4) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (pow.f64 (/.f64 1/9 x) 1/4)) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (cbrt.f64 (/.f64 1/9 x))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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 (/.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 1/3 (/.f64 1/3 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) 1/3) (sqrt.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)))))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
29 → 29
Calls
Call 1
Inputs
Outputs

eval216.0ms (3%)

Compiler

Compiled 8606 to 6262 computations (27.2% saved)

prune120.0ms (1.7%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New5628570
Fresh3710
Picked011
Done257
Total56721588
Error
0b
Counts
588 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.0b
(+.f64 1 (/.f64 -1/9 x))
21.0b
(+.f64 1 (pow.f64 (*.f64 x -9) -1))
0.3b
(-.f64 (-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.4b
(-.f64 (-.f64 1 (pow.f64 (*.f64 3 (sqrt.f64 x)) -2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (*.f64 (pow.f64 x -1/2) (pow.f64 (*.f64 x 81) -1/2))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
42.0b
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
42.0b
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
42.4b
(+.f64 1 (/.f64 1 (/.f64 x 1/9)))
21.6b
(+.f64 1 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))))
42.0b
(*.f64 -1/3 (/.f64 y (sqrt.f64 x)))
21.5b
(+.f64 1 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))))
42.4b
1
41.9b
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
21.5b
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 (*.f64 x 9) -1/2) y))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y))
✓12.9b
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓21.0b
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
✓0.3b
(-.f64 (-.f64 1 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
✓42.4b
(+.f64 1 (/.f64 1/9 x))
42.4b
(+.f64 1 (*.f64 (/.f64 1 x) 1/9))
Compiler

Compiled 240 to 193 computations (19.6% saved)

regimes158.0ms (2.2%)

Counts
45 → 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 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 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 (/.f64 -1/3 (sqrt.f64 x)) y))
(+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))))
(+.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 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))
(+.f64 1 (+.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (/.f64 -1/9 x)))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 (*.f64 x 9) -1/2) y))
(-.f64 (-.f64 1 (/.f64 1/9 x)) (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 (*.f64 x 9) -1/2) y))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3))))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
(-.f64 (-.f64 1 (pow.f64 (*.f64 (*.f64 x x) 81) -1/2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2)))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (*.f64 (pow.f64 (*.f64 x 9) -1/4) y) (pow.f64 (*.f64 x 9) 1/4)))
(-.f64 (-.f64 1 (pow.f64 (sqrt.f64 (/.f64 1/9 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 x 9) -3))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (pow.f64 (*.f64 3 (sqrt.f64 x)) -2)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 (/.f64 1/9 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (*.f64 (pow.f64 x -1/2) (pow.f64 (*.f64 x 81) -1/2))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) -1/2) (/.f64 y (pow.f64 (*.f64 x 9) 1/4))))
(+.f64 1 (fma.f64 y (pow.f64 (cbrt.f64 (/.f64 -1/3 (sqrt.f64 x))) 3) (/.f64 -1/9 x)))
(-.f64 (-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
(-.f64 (-.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) -2) (cbrt.f64 (/.f64 1/9 x)))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y))
Calls

4 calls:

77.0ms
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
21.0ms
x
21.0ms
y
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 565 to 418 computations (26% saved)

regimes83.0ms (1.2%)

Counts
20 → 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 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 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 (/.f64 -1/3 (sqrt.f64 x)) y))
(+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))))
(+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)))
Outputs
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))))
Calls

2 calls:

44.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
4.2b4x
1.7b3y
Compiler

Compiled 146 to 109 computations (25.3% saved)

bsearch51.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
30230995247775824.0
2.7208773642170624e+25
24.0ms
-2.3239738512990265e+48
-1.806842410442195e+46
Compiler

Compiled 21 to 17 computations (19% saved)

regimes296.0ms (4.2%)

Counts
17 → 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 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 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 (/.f64 -1/3 (sqrt.f64 x)) y))
(+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 y (*.f64 -1/3 (pow.f64 x -1/2))))
Outputs
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))
Calls

2 calls:

234.0ms
x
58.0ms
y
Results
ErrorSegmentsBranch
4.2b4x
1.7b3y
Compiler

Compiled 117 to 86 computations (26.5% saved)

bsearch51.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
30230995247775824.0
2.7208773642170624e+25
24.0ms
-2.3239738512990265e+48
-1.806842410442195e+46
Compiler

Compiled 21 to 17 computations (19% saved)

regimes55.0ms (0.8%)

Counts
12 → 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 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 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 (/.f64 -1/3 (sqrt.f64 x)) y))
Outputs
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
(+.f64 1 (/.f64 -1/9 x))
(+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))
Calls

2 calls:

27.0ms
x
24.0ms
y
Results
ErrorSegmentsBranch
4.2b4x
1.7b3y
Compiler

Compiled 76 to 58 computations (23.7% saved)

bsearch53.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
30230995247775824.0
2.7208773642170624e+25
24.0ms
-2.3239738512990265e+48
-1.806842410442195e+46
Compiler

Compiled 21 to 17 computations (19% saved)

regimes139.0ms (2%)

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 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(*.f64 -1/3 (/.f64 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 -1/9 x))
(*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))
Calls

2 calls:

115.0ms
x
21.0ms
y
Results
ErrorSegmentsBranch
14.6b11x
3.3b3y
Compiler

Compiled 68 to 53 computations (22.1% saved)

bsearch52.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
2.7208773642170624e+25
2.0376637489374894e+28
26.0ms
-8.718852606254243e+65
-4.157024536885375e+62
Compiler

Compiled 21 to 17 computations (19% saved)

regimes94.0ms (1.3%)

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

2 calls:

72.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
14.6b11x
3.3b3y
Compiler

Compiled 54 to 42 computations (22.2% saved)

bsearch52.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
2.7208773642170624e+25
2.0376637489374894e+28
25.0ms
-8.718852606254243e+65
-4.157024536885375e+62
Compiler

Compiled 21 to 17 computations (19% saved)

regimes65.0ms (0.9%)

Counts
8 → 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 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
Outputs
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
(+.f64 1 (/.f64 -1/9 x))
(/.f64 (*.f64 -1/3 y) (sqrt.f64 x))
Calls

2 calls:

46.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
15.6b9x
3.3b3y
Compiler

Compiled 48 to 39 computations (18.8% saved)

bsearch81.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
40.0ms
2.7208773642170624e+25
2.0376637489374894e+28
41.0ms
-8.718852606254243e+65
-4.157024536885375e+62
Compiler

Compiled 21 to 17 computations (19% saved)

regimes14.0ms (0.2%)

Counts
7 → 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 1 (/.f64 x 1/9)))
(+.f64 1 (*.f64 1/9 (/.f64 1 (neg.f64 x))))
Outputs
(+.f64 1 (/.f64 -1/9 x))
Calls

2 calls:

6.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
21.0b1x
21.0b1y
Compiler

Compiled 42 to 35 computations (16.7% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

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

2 calls:

4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
42.4b1x
42.4b1y
Compiler

Compiled 15 to 12 computations (20% saved)

simplify17.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
049269
168269
285269
393269
498269
599269
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y))
(if (<=.f64 y -2323973851299026470825999604315423171494075695104) (+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (if (<=.f64 y 30230995247775824) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))))))
(if (<=.f64 y -2323973851299026470825999604315423171494075695104) (+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (if (<=.f64 y 30230995247775824) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))
(if (<=.f64 y -2323973851299026470825999604315423171494075695104) (+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (if (<=.f64 y 30230995247775824) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))
(if (<=.f64 y -871885260625424254062464395746566415211790060170533368515891560448) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))) (if (<=.f64 y 27208773642170623888195584) (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))
(if (<=.f64 y -871885260625424254062464395746566415211790060170533368515891560448) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (if (<=.f64 y 27208773642170623888195584) (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))
(if (<=.f64 y -871885260625424254062464395746566415211790060170533368515891560448) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (if (<=.f64 y 27208773642170623888195584) (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))
(+.f64 1 (/.f64 -1/9 x))
1
Outputs
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y))
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y))
(if (<=.f64 y -2323973851299026470825999604315423171494075695104) (+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (if (<=.f64 y 30230995247775824) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))))))
(if (<=.f64 y -2323973851299026470825999604315423171494075695104) (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (if (<=.f64 y 30230995247775824) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))))))
(if (<=.f64 y -2323973851299026470825999604315423171494075695104) (+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (if (<=.f64 y 30230995247775824) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))
(if (<=.f64 y -2323973851299026470825999604315423171494075695104) (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (if (<=.f64 y 30230995247775824) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))))
(if (<=.f64 y -2323973851299026470825999604315423171494075695104) (+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (if (<=.f64 y 30230995247775824) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))
(if (<=.f64 y -2323973851299026470825999604315423171494075695104) (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x)))) (if (<=.f64 y 30230995247775824) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 y (/.f64 -1/3 (sqrt.f64 x))))))
(if (<=.f64 y -871885260625424254062464395746566415211790060170533368515891560448) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2))) (if (<=.f64 y 27208773642170623888195584) (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (*.f64 y (pow.f64 x -1/2)))))
(if (<=.f64 y -871885260625424254062464395746566415211790060170533368515891560448) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (if (<=.f64 y 27208773642170623888195584) (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))
(if (<=.f64 y -871885260625424254062464395746566415211790060170533368515891560448) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 27208773642170623888195584) (+.f64 1 (/.f64 -1/9 x)) (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))
(if (<=.f64 y -871885260625424254062464395746566415211790060170533368515891560448) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) (if (<=.f64 y 27208773642170623888195584) (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))
(if (<=.f64 y -871885260625424254062464395746566415211790060170533368515891560448) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 27208773642170623888195584) (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))
(+.f64 1 (/.f64 -1/9 x))
1
Compiler

Compiled 201 to 151 computations (24.9% saved)

soundness0.0ms (0%)

end100.0ms (1.4%)

Compiler

Compiled 185 to 130 computations (29.7% saved)

Profiling

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