Details

Time bar (total: 3.7s)

analyze96.0ms (2.6%)

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
44.5%3.1%52.4%13
45.1%2.3%52.6%14
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.1s (30.1%)

Results
1.1s8256×body128valid
12.0ms97×body128invalid

preprocess51.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
980×fma-neg_binary64
456×cancel-sign-sub-inv_binary64
286×fma-def_binary64
206×div-sub_binary64
204×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02042
14636
210036
320936
444532
583432
6172932
7322832
8459532
9487232
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 (-.f64 1 (/.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 (-.f64 (/.f64 1/9 x) (*.f64 -1/3 (/.f64 y (sqrt.f64 x)))))
(+.f64 (/.f64 -1/9 x) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1))
(+.f64 (/.f64 -1/9 x) (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 1))
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))
(-.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 (-.f64 1 (/.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)))))
(fma.f64 -1/3 (/.f64 x (sqrt.f64 y)) (-.f64 1 (/.f64 1/9 y)))
(-.f64 1 (fma.f64 1/3 (/.f64 x (sqrt.f64 y)) (/.f64 1/9 y)))
(fma.f64 (/.f64 x (sqrt.f64 y)) -1/3 (-.f64 1 (/.f64 1/9 y)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify27.0ms (0.7%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01321
12718
25618
311418
423416
544016
686616
7156716
8233916
9237116
10239416
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 (-.f64 1 (/.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 (/.f64 -1/9 x) (-.f64 1 (/.f64 y (*.f64 3 (sqrt.f64 x)))))
(fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (+.f64 1 (/.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)))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 85 to 66 computations (22.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series15.0ms (0.4%)

Counts
4 → 38
Calls

18 calls:

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

rewrite73.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
240×expm1-udef_binary64
239×log1p-udef_binary64
185×fma-neg_binary64
144×add-sqr-sqrt_binary64
139×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
129037
2412637
Stop Event
1×node limit
Counts
4 → 136
Calls
Call 1
Inputs
(*.f64 3 (sqrt.f64 x))
(/.f64 1 (*.f64 x 9))
(/.f64 y (*.f64 3 (sqrt.f64 x)))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 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 (/.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 (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81)) -1) (pow.f64 (cbrt.f64 (*.f64 x 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/9 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) (cbrt.f64 (+.f64 1 (/.f64 1/9 x)))) (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 y 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 (*.f64 y 1/3) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y 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 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (*.f64 y 1/3) (sqrt.f64 x))) (sqrt.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/3) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 3) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 3) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (/.f64 (*.f64 y 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) (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (exp.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) (fma.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 1 (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 x))) y (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) (+.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (/.f64 (*.f64 y 1/3) (sqrt.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 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simplify45.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
019417
140399
278399
3128399
4178399
5252399
6408399
7691399
81049399
91300399
101465399
111477399
Stop Event
1×saturated
Counts
174 → 147
Calls
Call 1
Inputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x)))
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1))

prune301.0ms (8.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New13512147
Fresh101
Picked101
Done000
Total13712149
Error
0.0b
Counts
149 → 12
Alt Table
StatusErrorProgram
17.0b
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x)))
0.5b
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.5b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (*.f64 x 9) 1/2)))
0.3b
(-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
34.1b
(*.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 3) (pow.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) (+.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)) (-.f64 1 (/.f64 1/9 x)))))))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3))))
21.3b
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
0.5b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1/3 (sqrt.f64 x)))))
0.4b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x))))))
0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Compiler

Compiled 3497 to 2581 computations (26.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (*.f64 x 9) 1/2)))
✓0.1b
(pow.f64 (*.f64 x 9) 1/2)
✓0.2b
(/.f64 y (pow.f64 (*.f64 x 9) 1/2))
0.3b
(/.f64 1 (*.f64 x 9))

series7.0ms (0.2%)

Counts
3 → 27
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 y (pow.f64 (*.f64 x 9) 1/2))
0.0ms
x
@-inf
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (*.f64 x 9) 1/2)))
0.0ms
y
@0
(/.f64 y (pow.f64 (*.f64 x 9) 1/2))
0.0ms
x
@-inf
(pow.f64 (*.f64 x 9) 1/2)
0.0ms
x
@0
(pow.f64 (*.f64 x 9) 1/2)

rewrite74.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
397×fma-def_binary64
230×expm1-udef_binary64
229×log1p-udef_binary64
182×fma-neg_binary64
137×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01236
128033
2388231
Stop Event
1×node limit
Counts
3 → 156
Calls
Call 1
Inputs
(/.f64 y (pow.f64 (*.f64 x 9) 1/2))
(pow.f64 (*.f64 x 9) 1/2)
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (*.f64 x 9) 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (cbrt.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))) (sqrt.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 x 1/9))) (cbrt.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x 1/9))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (/.f64 x 1/9) 1/4)) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (/.f64 x 1/9) 1/4)) (/.f64 (cbrt.f64 y) (pow.f64 (/.f64 x 1/9) 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 (sqrt.f64 (/.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 x 1/9)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 x 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x 1/9)) (cbrt.f64 (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 x 1/9))) (cbrt.f64 (/.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x 1/9) 1/4) (pow.f64 (/.f64 x 1/9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x 1/9)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x 1/9)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 x 1/9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x 1/9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x 1/9))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/9 x))) y (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))) 1 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))) (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x)))))))))

simplify42.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018370
140352
278352
3128352
4178352
5251352
6408352
7687352
81049352
91300352
101465352
111477352
Stop Event
1×saturated
Counts
183 → 166
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(/.f64 -1/9 x)
1
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))

prune464.0ms (12.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1913194
Fresh4711
Picked011
Done000
Total19511206
Error
0.0b
Counts
206 → 11
Alt Table
StatusErrorProgram
17.0b
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x)))
0.5b
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1))
0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
0.5b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (*.f64 x 9) 1/2)))
16.2b
(fma.f64 (-.f64 1 (pow.f64 (/.f64 x 1/9) -2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
0.4b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x))))))
Compiler

Compiled 5024 to 3842 computations (23.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts
2 → 14
Calls

9 calls:

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

rewrite72.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
425×fma-def_binary64
232×expm1-udef_binary64
231×log1p-udef_binary64
194×fma-neg_binary64
135×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01222
127222
2385320
Stop Event
1×node limit
Counts
2 → 128
Calls
Call 1
Inputs
(/.f64 1/9 x)
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/9 x) 1) 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 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1/9 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) 1)) (cbrt.f64 (+.f64 (/.f64 1/9 x) 1))) (cbrt.f64 (+.f64 (/.f64 1/9 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) 1)) (sqrt.f64 (+.f64 (/.f64 1/9 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 -1/9 x) (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x))) (fma.f64 (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) 1 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 x))) y (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x))) (fma.f64 (neg.f64 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1/9 x))) (sqrt.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x))))) (+.f64 (neg.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (*.f64 1/3 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))) (cbrt.f64 (*.f64 1/3 (/.f64 y (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))))))))

simplify35.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016225
135207
266207
3114207
4164207
5239207
6401207
7678207
81037207
91288207
101453207
111465207
Stop Event
1×saturated
Counts
142 → 135
Calls
Call 1
Inputs
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)))
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)))

prune430.0ms (11.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1901191
Fresh189
Picked011
Done011
Total19111202
Error
0.0b
Counts
202 → 11
Alt Table
StatusErrorProgram
17.0b
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x)))
0.5b
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1))
▶0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
0.5b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (/.f64 (*.f64 y 1/3) (sqrt.f64 x)))))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (*.f64 x 9) 1/2)))
16.2b
(fma.f64 (-.f64 1 (pow.f64 (/.f64 x 1/9) -2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.4b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x))))))
Compiler

Compiled 4838 to 3246 computations (32.9% saved)

localize26.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.2%)

Counts
3 → 26
Calls

15 calls:

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

rewrite74.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
266×expm1-udef_binary64
265×log1p-udef_binary64
159×add-sqr-sqrt_binary64
152×*-un-lft-identity_binary64
152×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01436
132231
2452431
Stop Event
1×node limit
Counts
3 → 119
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3))
(/.f64 1 (sqrt.f64 x))
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 x) (/.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (/.f64 x 1/9)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (*.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (sqrt.f64 (/.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/9)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (sqrt.f64 (/.f64 x 1/9)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y 1/3)) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (/.f64 x 1/9)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 3 y) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y 1/3)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 -3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 y)) (*.f64 (neg.f64 (sqrt.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (*.f64 3 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -1) (*.f64 -3 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 1/3) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 1/3) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 1/3) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y 1/3)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (pow.f64 x -1/2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 1/3) -1) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (*.f64 y y) 1/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9)))))))))
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(-.f64 (*.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x 1/9))) (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x 1/9)))) (*.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x 1/9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) (/.f64 1/9 x)) (+.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) (/.f64 1/9 x)))) (+.f64 1 (+.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x 1/9))) (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x 1/9))))) (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (+.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (+.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) (/.f64 1/9 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) 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1/9))) (/.f64 1/9 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (/.f64 1/9 x)) (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) 2) (cbrt.f64 (-.f64 1 (/.f64 1/9 x))) (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (+.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (+.f64 (/.f64 y (sqrt.f64 (/.f64 x 1/9))) (/.f64 1/9 x)))))))))

simplify51.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018369
140351
278351
3128351
4178351
5251351
6408351
7687351
81049351
91300351
101465351
111477351
Stop Event
1×saturated
Counts
145 → 129
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
Outputs
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))
(/.f64 -1/9 x)
1
(-.f64 1 (*.f64 1/9 (/.f64 1 x)))
(-.f64 1 (/.f64 1/9 x))
(+.f64 1 (/.f64 -1/9 x))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3)
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x)))
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x)))
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x)))

prune348.0ms (9.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1552157
Fresh358
Picked101
Done112
Total1608168
Error
0.0b
Counts
168 → 8
Alt Table
StatusErrorProgram
17.0b
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x)))
0.5b
(-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 1 (*.f64 (sqrt.f64 x) (/.f64 3 y))))
16.2b
(fma.f64 (-.f64 1 (pow.f64 (/.f64 x 1/9) -2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 1/9 x))))
✓0.2b
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.3b
(-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x))))
0.2b
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (*.f64 (neg.f64 y) (pow.f64 x -1/2)) -3))
Compiler

Compiled 3262 to 2496 computations (23.5% saved)

regimes185.0ms (5%)

Accuracy

Total -15.0b remaining (-6427.1%)

Threshold costs -15.0b (-6427.1%)

Counts
78 → 1
Compiler

Compiled 1335 to 987 computations (26.1% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×+-commutative_binary64
5×sub-neg_binary64
4×*-commutative_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
11821
22921
33521
43921
54021
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9))))
Outputs
(-.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 (sqrt.f64 (*.f64 x 9))))

end114.0ms (3.1%)

Stop Event
1×fuel
Compiler

Compiled 179 to 137 computations (23.5% saved)

Profiling

Loading profile data...