Details

Time bar (total: 8.7s)

analyze58.0ms (0.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
0%74.9%25.1%5
18.7%43.7%37.6%6
28.1%34.3%37.6%7
32.8%23.4%43.8%8
36.7%18%45.4%9
39.4%12.1%48.5%10
41.6%9.2%49.3%11
43%6.1%50.8%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.5s (16.7%)

Results
1.4s8256×body256valid
53.0ms380×body256invalid

preprocess69.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
880×fma-neg_binary64
613×times-frac_binary64
420×associate-/l*_binary64
408×fma-def_binary64
394×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02042
14636
212636
336932
477732
5113932
6228732
7465632
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (*.f64 3 (sqrt.f64 y)) (-.f64 (+.f64 x (/.f64 1 (*.f64 y 9))) 1))
Outputs
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) -1)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 3 y -3) (/.f64 1/3 x)))
(*.f64 (*.f64 3 (sqrt.f64 y)) (-.f64 (+.f64 x (/.f64 1 (*.f64 y 9))) 1))
(*.f64 (*.f64 3 (sqrt.f64 y)) (+.f64 (+.f64 x (/.f64 1 (*.f64 y 9))) -1))
(*.f64 (*.f64 3 (sqrt.f64 y)) (+.f64 (/.f64 1/9 y) (-.f64 x 1)))
(*.f64 3 (*.f64 (sqrt.f64 y) (+.f64 (/.f64 1/9 y) (+.f64 x -1))))
(*.f64 (sqrt.f64 y) (fma.f64 3 x (+.f64 -3 (/.f64 1/3 y))))
(*.f64 (sqrt.f64 y) (+.f64 (fma.f64 3 x -3) (/.f64 1/3 y)))
Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify245.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1205×fma-neg_binary64
892×fma-def_binary64
328×associate-/l*_binary64
320×cancel-sign-sub-inv_binary64
290×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321
12818
26918
319216
439916
558516
6117816
7256016
8431716
9499816
10555716
11607416
12610216
13610216
14705216
15713716
16713716
17713716
18713716
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
Outputs
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (-.f64 (/.f64 1 (*.f64 x 9)) 1)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 3 y -3) (/.f64 1/3 x)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 3)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 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
0.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
Compiler

Compiled 29 to 23 computations (20.7% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 24 computations (33.3% saved)

series11.0ms (0.1%)

Counts
3 → 36
Calls

15 calls:

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

rewrite77.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
472×log-prod_binary64
363×prod-exp_binary64
363×exp-prod_binary64
286×pow-prod-down_binary64
277×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
122028
2273028
Stop Event
1×node limit
Counts
3 → 114
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
(/.f64 -1/3 x)
(fma.f64 y -3 (/.f64 -1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 x)) (*.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3)) (sqrt.f64 x)) (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))) (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1/2) (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (*.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1/2) (*.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 x)) 1) (*.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) (*.f64 (log.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1) (*.f64 (log.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) (*.f64 (log.f64 (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) -3 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 x)) (pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 2) (cbrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 x)) (sqrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/3 x)))) (sqrt.f64 (log.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1/3 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/3 x) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 y) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -3 y (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 y) 1) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -3 y (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -3 y) 3) (pow.f64 (/.f64 -1/3 x) 3)) (+.f64 (pow.f64 (*.f64 -3 y) 2) (-.f64 (*.f64 1/9 (pow.f64 x -2)) (*.f64 (*.f64 -3 y) (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -3 y) 2) (*.f64 1/9 (pow.f64 x -2))) (fma.f64 -3 y (neg.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))) (sqrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))) (pow.f64 (exp.f64 y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) -3) (+.f64 1 (expm1.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 3) 1/3))))))

simplify103.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
919×fma-neg_binary64
371×fma-def_binary64
318×cancel-sign-sub-inv_binary64
180×distribute-rgt-in_binary64
111×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021443
146380
2100342
3261342
4668342
51446342
62378342
73159342
83945342
93983342
103993342
113993342
Stop Event
1×saturated
Counts
150 → 125
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
Outputs
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x)))
(*.f64 (+.f64 3 (/.f64 -1/3 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 51 to 36 computations (29.4% saved)

series14.0ms (0.2%)

Counts
4 → 48
Calls

18 calls:

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

rewrite85.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
620×prod-diff_binary64
614×log-prod_binary64
360×fma-def_binary64
226×log1p-udef_binary64
225×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01344
128335
2374435
Stop Event
1×node limit
Counts
4 → 135
Calls
Call 1
Inputs
(*.f64 3 (sqrt.f64 x))
(/.f64 1 (*.f64 x 9))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(+.f64 y (/.f64 1 (*.f64 x 9)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (exp.f64 (sqrt.f64 x)))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) (cbrt.f64 (exp.f64 (/.f64 1/9 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (sqrt.f64 (/.f64 1/9 x)) (sqrt.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 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 x x) 81))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/9 x)) 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 (neg.f64 (*.f64 x -9)) -1)))) (#(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 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 +.f64 0 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 1/9 x) -1) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1/9 x) y) (*.f64 3 (sqrt.f64 x))) (*.f64 -1 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) y) (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) y)) (*.f64 (*.f64 3 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3) -1) (*.f64 3 (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2) (+.f64 (/.f64 1/9 x) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2) -1) (*.f64 3 (sqrt.f64 x))) (+.f64 (/.f64 1/9 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3) -1)) (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2) (+.f64 (/.f64 1/9 x) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2) -1)) (+.f64 (/.f64 1/9 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (pow.f64 (*.f64 3 (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) y (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) y) (*.f64 (*.f64 3 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 3 (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 1/9 x) -1) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/9 x) y) (*.f64 3 (sqrt.f64 x)) (*.f64 -1 (*.f64 3 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 1/9 x))) (/.f64 (pow.f64 (*.f64 x 9) -2) (-.f64 y (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/9 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/9 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2)) (cbrt.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) (sqrt.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) -3)) (/.f64 1 (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x 9) -2)) (/.f64 1 (-.f64 y (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (*.f64 y y)) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (/.f64 1/9 x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 x 9) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) -3)) (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) -3)) (+.f64 (pow.f64 (*.f64 x 9) -2) (-.f64 (*.f64 y y) (*.f64 (/.f64 1/9 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x 9) -2)) (-.f64 y (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) -3))) (neg.f64 (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x 9) -2))) (neg.f64 (-.f64 y (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 9) -2) (*.f64 y y)) (-.f64 (/.f64 1/9 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) -3)) 1) (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x 9) -2)) 1) (-.f64 y (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/9 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/9 x) y) (*.f64 y y)) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 9) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y (/.f64 1/9 x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 x 9) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/9 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/9 x)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/9 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/9 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1/9 x) (+.f64 y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/9 x) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/9 x)) (sqrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (*.f64 x -9)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/9 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1)))) (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 (/.f64 1 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 x x) 81))) (cbrt.f64 (/.f64 1/9 x)) y)))))

simplify230.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1400×fma-neg_binary64
911×fma-def_binary64
256×distribute-rgt-neg-in_binary64
206×distribute-rgt-in_binary64
183×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017426
138381
284360
3195360
4406360
5811360
61177360
71916360
83391360
94482360
104918360
115480360
125481360
135481360
146291360
156291360
166291360
176291360
Stop Event
1×saturated
Counts
183 → 145
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 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.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 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 3 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1/3 x) 3))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(-.f64 y (/.f64 -1/9 x))

eval96.0ms (1.1%)

Compiler

Compiled 4595 to 3289 computations (28.4% saved)

prune59.0ms (0.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New25218270
Fresh000
Picked101
Done101
Total25418272
Error
0.0b
Counts
272 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
52.6b
(sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2)))
▶0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
▶45.7b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
0.7b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
17.9b
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
45.2b
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (pow.f64 (*.f64 3 (sqrt.f64 x)) 3)))
26.5b
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
1.5b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)
▶26.3b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
▶0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))))
17.9b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
45.7b
(*.f64 y (*.f64 3 (sqrt.f64 x)))
28.9b
(/.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))
0.7b
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
▶0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
18.0b
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))))
Compiler

Compiled 512 to 414 computations (19.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 y (/.f64 1 (*.f64 x 9)))
✓0.1b
(sqrt.f64 (*.f64 x 9))
✓0.2b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.3b
(/.f64 1 (*.f64 x 9))
Compiler

Compiled 48 to 36 computations (25% saved)

series4.0ms (0%)

Counts
2 → 12
Calls

9 calls:

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

rewrite69.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
620×prod-diff_binary64
542×log-prod_binary64
350×fma-def_binary64
295×pow2_binary64
218×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
124424
2329724
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(sqrt.f64 (*.f64 x 9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (sqrt.f64 x) 3)) (*.f64 (+.f64 (/.f64 1/9 x) -1) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y (/.f64 1/9 x)) (*.f64 (sqrt.f64 x) 3)) (*.f64 -1 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) y) (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (/.f64 1/9 x))) (*.f64 (*.f64 (sqrt.f64 x) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 (/.f64 1/9 x) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 (/.f64 1/9 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 (/.f64 1/9 x) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1)) (+.f64 (/.f64 1/9 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 3) y (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (/.f64 1/9 x)) (*.f64 (*.f64 (sqrt.f64 x) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (sqrt.f64 x) 3) (*.f64 (+.f64 (/.f64 1/9 x) -1) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) (*.f64 (sqrt.f64 x) 3) (*.f64 -1 (*.f64 (sqrt.f64 x) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (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 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 log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(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 (*.f64 (sqrt.f64 x) 3)) 1))))))

simplify221.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1400×fma-neg_binary64
907×fma-def_binary64
256×distribute-rgt-neg-in_binary64
207×distribute-rgt-in_binary64
183×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015240
136195
280174
3195174
4410174
5817174
61183174
71923174
83403174
94485174
104924174
115483174
125484174
135484174
146294174
156294174
166294174
176294174
Stop Event
1×saturated
Counts
74 → 68
Calls
Call 1
Inputs
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
Outputs
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 3 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 7 computations (58.8% saved)

series7.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

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

rewrite57.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
628×pow1_binary64
580×add-log-exp_binary64
580×log1p-expm1-u_binary64
580×expm1-log1p-u_binary64
567×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114115
2161015
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) y)
(*.f64 3 (*.f64 (sqrt.f64 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (*.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 (sqrt.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 y 3))))))))

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
07180
111180
218180
320180
Stop Event
1×saturated
Counts
46 → 25
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
Outputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (sqrt.f64 x)) 3)
(*.f64 y (*.f64 (sqrt.f64 x) 3))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 14 computations (39.1% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
861×pow1_binary64
799×add-log-exp_binary64
798×log1p-expm1-u_binary64
798×expm1-log1p-u_binary64
782×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
118612
2222512
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 3 (sqrt.f64 x))) (*.f64 -1 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) y) (*.f64 (*.f64 3 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) (*.f64 3 (sqrt.f64 x))) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) (*.f64 3 (sqrt.f64 x))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 y -1) 2) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 x)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 (*.f64 3 (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 3 (+.f64 y -1)))))))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×fma-def_binary64
8×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
010159
117132
232114
342114
Stop Event
1×saturated
Counts
31 → 24
Calls
Call 1
Inputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
Outputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 y (/.f64 -1/9 x))
✓0.2b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.3b
(*.f64 3 (sqrt.f64 x))
✓0.4b
(/.f64 -1/9 x)
Compiler

Compiled 40 to 26 computations (35% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
1.0ms
x
@0
(/.f64 -1/9 x)
1.0ms
x
@-inf
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.0ms
x
@inf
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.0ms
y
@-inf
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))

rewrite89.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
598×prod-diff_binary64
586×log-prod_binary64
347×fma-def_binary64
327×pow2_binary64
230×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
126729
2350929
Stop Event
1×node limit
Counts
3 → 183
Calls
Call 1
Inputs
(/.f64 -1/9 x)
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(-.f64 y (/.f64 -1/9 x))
Outputs
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#<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (/.f64 1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) 1 (fma.f64 (neg.f64 (pow.f64 x -1)) -1/9 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) 1 (fma.f64 (/.f64 1/9 x) 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/9 x))) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) 1 (+.f64 (/.f64 1/9 x) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (/.f64 1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (/.f64 1/9 x)) (fma.f64 (neg.f64 (pow.f64 x -1)) -1/9 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (/.f64 1/9 x)) (fma.f64 (/.f64 1/9 x) 1 (/.f64 -1/9 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (+.f64 (/.f64 1/9 x) 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (+.f64 (/.f64 1/9 x) 1))) 2) (cbrt.f64 (+.f64 y (+.f64 (/.f64 1/9 x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/9 x)) (sqrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (+.f64 (/.f64 1/9 x) 1))) (sqrt.f64 (+.f64 y (+.f64 (/.f64 1/9 x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 -1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (fma.f64 (neg.f64 (pow.f64 x -1)) -1/9 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (fma.f64 (/.f64 1/9 x) 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/9 x))) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (+.f64 (/.f64 1/9 x) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (cbrt.f64 (/.f64 -1/9 x)) y)))))

simplify226.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1400×fma-neg_binary64
911×fma-def_binary64
256×distribute-rgt-neg-in_binary64
207×distribute-rgt-in_binary64
182×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017378
138333
284312
3198312
4407312
5815312
61181312
71919312
83398312
94486312
104932312
115485312
125486312
135486312
146296312
156296312
166296312
176296312
Stop Event
1×saturated
Counts
219 → 192
Calls
Call 1
Inputs
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
Outputs
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 3 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) y)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))
✓0.3b
(pow.f64 (*.f64 x -3) -1)
✓0.5b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))))
Compiler

Compiled 47 to 34 computations (27.7% saved)

series9.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite167.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
528×log-prod_binary64
404×exp-prod_binary64
320×pow-prod-down_binary64
298×pow2_binary64
206×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01137
123828
2290128
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))))
(pow.f64 (*.f64 x -3) -1)
(fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 x)) (cbrt.f64 (*.f64 (pow.f64 x -2) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) 1/9)) (cbrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 x)) (sqrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -3)) -2) (cbrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1/3 x)) (sqrt.f64 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x -3)) -2) (cbrt.f64 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -3) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x -3) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -3)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1/3 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -3)) -1/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/3 x) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 y) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -3 y (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 y) 1) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -3 y (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -3 y) 3) (pow.f64 (*.f64 x -3) -3)) (+.f64 (pow.f64 (*.f64 -3 y) 2) (-.f64 (*.f64 (pow.f64 x -2) 1/9) (*.f64 (*.f64 -3 y) (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -3 y) 2) (*.f64 (pow.f64 x -2) 1/9)) (-.f64 (*.f64 -3 y) (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))) (sqrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))) (pow.f64 (exp.f64 y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) -3) (+.f64 1 (expm1.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 3) 1/3))))))

simplify325.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
919×fma-neg_binary64
371×fma-def_binary64
318×cancel-sign-sub-inv_binary64
180×distribute-rgt-in_binary64
111×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021491
146428
2100390
3261390
4668390
51446390
62378390
73159390
83945390
93983390
103993390
113993390
Stop Event
1×saturated
Counts
151 → 113
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
Outputs
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x)))
(*.f64 (+.f64 3 (/.f64 -1/3 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))

eval214.0ms (2.4%)

Compiler

Compiled 9653 to 6920 computations (28.3% saved)

prune104.0ms (1.2%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New53316549
Fresh9413
Picked101
Done224
Total54522567
Error
0.0b
Counts
567 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))
28.9b
(/.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))
46.0b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
22.7b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
45.2b
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)))
17.9b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
26.5b
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
17.9b
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
▶43.3b
(*.f64 -3 (sqrt.f64 x))
0.6b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
▶26.2b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
▶0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 1 (*.f64 x -3)))))
1.5b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)
▶0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
45.7b
(*.f64 y (*.f64 (sqrt.f64 x) 3))
17.9b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
✓45.7b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
18.0b
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
27.2b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y)) 1))
0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
Compiler

Compiled 592 to 475 computations (19.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 y (/.f64 -1/9 x))
0.1b
(sqrt.f64 (*.f64 x 9))
✓0.2b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.4b
(/.f64 -1/9 x)
Compiler

Compiled 41 to 29 computations (29.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite69.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
598×prod-diff_binary64
575×log-prod_binary64
343×fma-def_binary64
322×pow2_binary64
235×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
126718
2346918
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y (/.f64 1/9 x)) (*.f64 (sqrt.f64 x) 3)) (*.f64 -1 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (/.f64 1/9 x))) (*.f64 (*.f64 (sqrt.f64 x) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 y (+.f64 (/.f64 1/9 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 y (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 y (+.f64 (/.f64 1/9 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1)) (+.f64 y (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (/.f64 1/9 x)) (*.f64 (*.f64 (sqrt.f64 x) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) (*.f64 (sqrt.f64 x) 3) (*.f64 -1 (*.f64 (sqrt.f64 x) 3)))))))

simplify212.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1400×fma-neg_binary64
907×fma-def_binary64
256×distribute-rgt-neg-in_binary64
207×distribute-rgt-in_binary64
183×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015240
136195
280174
3195174
4410174
5817174
61183174
71923174
83403174
94485174
104924174
115483174
125484174
135484174
146294174
156294174
166294174
176294174
Stop Event
1×saturated
Counts
40 → 34
Calls
Call 1
Inputs
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
Outputs
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 3 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (+.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/9 x) -1) y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 6 computations (40% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite54.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11006
210936
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 -3 (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (*.f64 -27 (pow.f64 x 3/2)) 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 log.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -27 (pow.f64 x 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))))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
15 → 15
Calls
Call 1
Inputs
Outputs

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite57.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
838×pow1_binary64
779×add-log-exp_binary64
778×log1p-expm1-u_binary64
778×expm1-log1p-u_binary64
763×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
118612
2218612
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (sqrt.f64 x) 3)) (*.f64 -1 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) y) (*.f64 (*.f64 (sqrt.f64 x) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) (*.f64 (sqrt.f64 x) 3)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 y -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y -1) 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y -1))))))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×fma-def_binary64
8×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
010159
117132
232114
342114
Stop Event
1×saturated
Counts
31 → 24
Calls
Call 1
Inputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
Outputs
(*.f64 -3 (sqrt.f64 x))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -3 (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 -3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -1/3 x) (*.f64 -3 y))
0.4b
(/.f64 -1/3 x)
✓0.5b
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
Compiler

Compiled 42 to 29 computations (31% saved)

series11.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@0
(+.f64 (/.f64 -1/3 x) (*.f64 -3 y))
1.0ms
x
@0
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
1.0ms
x
@inf
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
1.0ms
y
@0
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
1.0ms
y
@inf
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))

rewrite84.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
572×log-prod_binary64
366×pow-prod-down_binary64
355×fma-def_binary64
324×pow2_binary64
224×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
125124
2342424
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(+.f64 (/.f64 -1/3 x) (*.f64 -3 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 x)) (*.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3)) (sqrt.f64 x)) (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))) (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) -3 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 (/.f64 -1/3 x) (*.f64 3 y))) (/.f64 (*.f64 (*.f64 y y) 9) (+.f64 (/.f64 -1/3 x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -3 y (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 y 3) -27 (*.f64 -1/27 (pow.f64 x -3))) (/.f64 1 (fma.f64 (*.f64 -3 y) (-.f64 (*.f64 -3 y) (/.f64 -1/3 x)) (/.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 y y) 9)) (/.f64 1 (+.f64 (/.f64 -1/3 x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -3 y) (-.f64 (*.f64 -3 y) (/.f64 -1/3 x)) (/.f64 1/9 (*.f64 x x))) (fma.f64 (pow.f64 y 3) -27 (*.f64 -1/27 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -1/3 x) (*.f64 3 y)) (-.f64 (/.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 y y) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 y 3) -27 (*.f64 -1/27 (pow.f64 x -3))) (fma.f64 (*.f64 -3 y) (-.f64 (*.f64 -3 y) (/.f64 -1/3 x)) (/.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 y 3) -27 (*.f64 -1/27 (pow.f64 x -3))) (fma.f64 (*.f64 y y) 9 (-.f64 (/.f64 1/9 (*.f64 x x)) (*.f64 (/.f64 -1/3 x) (*.f64 -3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 y y) 9)) (+.f64 (/.f64 -1/3 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 y 3) -27 (*.f64 -1/27 (pow.f64 x -3)))) (neg.f64 (fma.f64 (*.f64 -3 y) (-.f64 (*.f64 -3 y) (/.f64 -1/3 x)) (/.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 y y) 9))) (neg.f64 (+.f64 (/.f64 -1/3 x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 9) (/.f64 1/9 (*.f64 x x))) (-.f64 (*.f64 -3 y) (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -3 y) (-.f64 (*.f64 -3 y) (/.f64 -1/3 x)) (/.f64 1/9 (*.f64 x x))) (fma.f64 (pow.f64 y 3) -27 (*.f64 -1/27 (pow.f64 x -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -1/3 x) (*.f64 3 y)) (-.f64 (/.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 y y) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))) (pow.f64 (exp.f64 y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1/3 x)) (+.f64 1 (expm1.f64 (*.f64 -3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))) (+.f64 1 (expm1.f64 (*.f64 -3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3 y))) (exp.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) -3) (+.f64 1 (expm1.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3 y))) (+.f64 1 (expm1.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 y (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (/.f64 1 x) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/3 x) 1 (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -3 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 y) 1 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/3 x) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -3 y) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -3 y)) (cbrt.f64 (*.f64 (*.f64 y y) 9)) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 9)) (cbrt.f64 (*.f64 -3 y)) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/3 x)) (pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 2) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 2) (cbrt.f64 (/.f64 -1/3 x)) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -3) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -3 y)) (sqrt.f64 (*.f64 -3 y)) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/3 x)) (sqrt.f64 (/.f64 -1/3 x)) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -3) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 1 (neg.f64 x)) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -1/3 (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (sqrt.f64 y)) (sqrt.f64 y) (/.f64 -1/3 x))))))

simplify111.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
945×fma-def_binary64
801×fma-neg_binary64
190×cancel-sign-sub-inv_binary64
156×distribute-rgt-in_binary64
136×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019423
141360
278342
3143342
4249342
5345342
6575342
71067342
82091342
92821342
103627342
113947342
124045342
134045342
Stop Event
1×saturated
Counts
118 → 92
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
Outputs
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) -3) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) -3) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) -3) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) -3) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) -3) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) -3) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) -3) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) -3) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/3 x) -3) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 y -3 (/.f64 1 (*.f64 x -3)))
✓0.3b
(/.f64 1 (*.f64 x -3))
✓0.5b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 1 (*.f64 x -3)))))
Compiler

Compiled 47 to 34 computations (27.7% saved)

series5.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite78.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
518×log-prod_binary64
396×exp-prod_binary64
319×pow-prod-down_binary64
288×pow2_binary64
200×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01137
123328
2288628
Stop Event
1×node limit
Counts
3 → 112
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 1 (*.f64 x -3)))))
(/.f64 1 (*.f64 x -3))
(fma.f64 y -3 (/.f64 1 (*.f64 x -3)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 x)) (cbrt.f64 (/.f64 (pow.f64 x -2) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) 9)) (cbrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 x)) (sqrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x -1/3)) -2) (cbrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -2) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x -1/3) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 9) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x -1/3) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x -1/3)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x -1/3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (/.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/3 x)))) (sqrt.f64 (log.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x -1/3) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x -1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x -1/3) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x -1/3)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x -1/3)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1/3 x)) 1) 1))))))
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simplify106.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
919×fma-neg_binary64
371×fma-def_binary64
318×cancel-sign-sub-inv_binary64
180×distribute-rgt-in_binary64
111×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021491
146428
2100390
3261390
4668390
51446390
62378390
73159390
83945390
93983390
103993390
113993390
Stop Event
1×saturated
Counts
160 → 123
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
Outputs
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x)))
(*.f64 (+.f64 3 (/.f64 -1/3 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))

eval207.0ms (2.4%)

Compiler

Compiled 9360 to 6783 computations (27.5% saved)

prune103.0ms (1.2%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New52910539
Fresh8715
Picked011
Done066
Total53724561
Error
0.0b
Counts
561 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
1.5b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)
✓45.7b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
▶62.1b
(sqrt.f64 (*.f64 x 9))
▶0.4b
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))
28.9b
(/.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))
27.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (-.f64 (/.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 y y) 9)) (+.f64 (/.f64 -1/3 x) (*.f64 3 y)))))
17.9b
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
18.0b
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
✓43.3b
(*.f64 -3 (sqrt.f64 x))
17.9b
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
✓0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
✓26.2b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
▶27.2b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y)) 1))
46.0b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
26.5b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 y 1))
✓0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 1 (*.f64 x -3)))))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
45.7b
(*.f64 y (*.f64 (sqrt.f64 x) 3))
51.3b
(cbrt.f64 (*.f64 -27 (pow.f64 x 3/2)))
17.9b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
▶17.9b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
45.2b
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)))
Compiler

Compiled 567 to 452 computations (20.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
✓0.2b
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
✓0.2b
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
✓0.4b
(/.f64 1/9 x)
Compiler

Compiled 61 to 42 computations (31.1% saved)

series8.0ms (0.1%)

Counts
4 → 48
Calls

21 calls:

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

rewrite95.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
953×prod-diff_binary64
616×log-prod_binary64
379×fma-def_binary64
235×expm1-udef_binary64
235×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
127347
2376447
Stop Event
1×node limit
Counts
4 → 184
Calls
Call 1
Inputs
(/.f64 1/9 x)
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) (cbrt.f64 (exp.f64 (/.f64 1/9 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (/.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 (/.f64 1/729 (pow.f64 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 (/.f64 1/729 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 (/.f64 1/9 x) -1))) (/.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2) (-.f64 y (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/9 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))) 2) (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))) (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3)) (/.f64 1 (fma.f64 y y (*.f64 (+.f64 (/.f64 1/9 x) -1) (-.f64 (+.f64 (/.f64 1/9 x) -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)) (/.f64 1 (-.f64 y (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (+.f64 (/.f64 1/9 x) -1) (-.f64 (+.f64 (/.f64 1/9 x) -1) y))) (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (+.f64 (/.f64 1/9 x) -1)) (-.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3)) (fma.f64 y y (*.f64 (+.f64 (/.f64 1/9 x) -1) (-.f64 (+.f64 (/.f64 1/9 x) -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2) (-.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)) (-.f64 y (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3))) (neg.f64 (fma.f64 y y (*.f64 (+.f64 (/.f64 1/9 x) -1) (-.f64 (+.f64 (/.f64 1/9 x) -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2))) (neg.f64 (-.f64 y (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3) -1) (fma.f64 (+.f64 (/.f64 1/9 x) y) (+.f64 (/.f64 1/9 x) y) (-.f64 1 (*.f64 (+.f64 (/.f64 1/9 x) y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2) (*.f64 y y)) (-.f64 (+.f64 (/.f64 1/9 x) -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (/.f64 1/9 x) y) (+.f64 (/.f64 1/9 x) y) -1) (-.f64 (+.f64 (/.f64 1/9 x) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/9 x) -1))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 1/9 x) -1)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/9 x) -1))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 (/.f64 1 x) (+.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/9 x) 1 (+.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (+.f64 (/.f64 1/9 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/9 x) -1) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/9 x) (+.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (+.f64 (/.f64 1/9 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1/9 x) -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1/9 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (+.f64 (/.f64 1/9 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (+.f64 (/.f64 1/9 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (+.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)) (+.f64 -1 y))))) (#(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)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 (/.f64 1/9 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)) (+.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/9 (/.f64 1 (neg.f64 x)) (+.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (/.f64 1/729 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 1/81 (*.f64 x x)) (-.f64 1 (/.f64 -1/9 x)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/9 (+.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/81 (*.f64 x x)) -1) (/.f64 1 (+.f64 (/.f64 1/9 x) 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/9 x) y) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) (cbrt.f64 (+.f64 (/.f64 1/9 x) y))) (cbrt.f64 (+.f64 (/.f64 1/9 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) (sqrt.f64 (+.f64 (/.f64 1/9 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/3 (sqrt.f64 x)) 1) (-.f64 (/.f64 1/3 (sqrt.f64 x)) 1) y)))))

simplify262.0ms (3%)

Algorithm
1×egg-herbie
Rules
1343×fma-neg_binary64
848×fma-def_binary64
270×distribute-rgt-in_binary64
267×unsub-neg_binary64
234×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020555
146555
2100534
3239534
4469534
5743534
61121534
71974534
83489534
94388534
104762534
115104534
125278534
135278534
146334534
156447534
166447534
176447534
186447534
Stop Event
1×saturated
Counts
232 → 204
Calls
Call 1
Inputs
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
y
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
y
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(/.f64 1/9 x)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 y 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 y 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
Outputs
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 3 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 3 y) (sqrt.f64 x))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 -3 (/.f64 1/3 x))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))
(*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
y
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
y
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(/.f64 1/9 x)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 y 1)
(+.f64 y -1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 y 1)
(+.f64 y -1)
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
(-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1)
(+.f64 y (+.f64 (/.f64 1/9 x) -1))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (*.f64 x 9))
Compiler

Compiled 11 to 8 computations (27.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 1/9 x) 1)
0.1b
(sqrt.f64 (*.f64 x 9))
✓0.2b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
0.4b
(/.f64 1/9 x)
Compiler

Compiled 31 to 24 computations (22.6% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite64.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
963×pow1_binary64
903×add-log-exp_binary64
902×log1p-expm1-u_binary64
902×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
121622
2257722
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(-.f64 (/.f64 1/9 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/9 x) (*.f64 (sqrt.f64 x) 3)) (*.f64 -1 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (/.f64 1/9 x)) (*.f64 (*.f64 (sqrt.f64 x) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/729 (pow.f64 x 3)) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 (pow.f64 (/.f64 1/9 x) 2) (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/9 x) 2) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 (/.f64 1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/729 (pow.f64 x 3)) -1)) (+.f64 (pow.f64 (/.f64 1/9 x) 2) (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 (/.f64 1/9 x) 2) -1)) (+.f64 (/.f64 1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3) (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 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 (+.f64 (/.f64 1/9 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/9 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) -1)) (sqrt.f64 (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/729 (pow.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 1/9 x) 2) (+.f64 (/.f64 1/9 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 1/9 x) 2) -1) (/.f64 1 (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/3 (sqrt.f64 x)) 1) (-.f64 (/.f64 1/3 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 1/9 x) 2) (+.f64 (/.f64 1/9 x) 1)) (+.f64 (/.f64 1/729 (pow.f64 x 3)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/9 x) 1) (+.f64 (pow.f64 (/.f64 1/9 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/729 (pow.f64 x 3)) -1) (+.f64 (pow.f64 (/.f64 1/9 x) 2) (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/729 (pow.f64 x 3)) -1) (+.f64 (pow.f64 (/.f64 1/9 x) 2) (-.f64 1 (*.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1/9 x) 2) -1) (+.f64 (/.f64 1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1/9 x) 2) -1) (-.f64 (/.f64 1/9 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/729 (pow.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 1/9 x) 2) (+.f64 (/.f64 1/9 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 1/9 x) 2) -1)) (neg.f64 (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/9 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/9 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/9 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/9 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)) -1)))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×fma-neg_binary64
1×+-commutative_binary64
1×*-commutative_binary64
1×associate-*r/_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11669
21969
Stop Event
1×saturated
Counts
65 → 56
Calls
Call 1
Inputs
(/.f64 1/9 x)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
-1
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
-1
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
Outputs
(/.f64 1/9 x)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)
-1
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)
-1
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/9 x) -1)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 3 (sqrt.f64 x))
0.4b
(/.f64 -1/9 x)
✓5.1b
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
✓29.7b
(/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y))
Compiler

Compiled 96 to 49 computations (49% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y))
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y))
1.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y))

rewrite88.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
667×log-prod_binary64
531×fma-def_binary64
294×fma-neg_binary64
264×log-div_binary64
244×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01235
128631
2432031
Stop Event
1×node limit
Counts
2 → 162
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
Outputs
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(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 -1/9 x) 2))) (cbrt.f64 (/.f64 1/6561 (pow.f64 x 4))) (pow.f64 (/.f64 -1/9 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 4) (/.f64 1/6561 (pow.f64 x 4))) (/.f64 1 (fma.f64 y y (pow.f64 (/.f64 -1/9 x) 2))) (+.f64 (*.f64 -1/81 (pow.f64 x -2)) (pow.f64 (/.f64 -1/9 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 -1/81 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 -1/81 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 -1/81 (pow.f64 x -2))) (cbrt.f64 (*.f64 -1/81 (pow.f64 x -2)))) (cbrt.f64 (*.f64 -1/81 (pow.f64 x -2))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/81 (pow.f64 x -2))) (sqrt.f64 (*.f64 -1/81 (pow.f64 x -2))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (/.f64 -1/9 x) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 -1/9 x)) (/.f64 -1/9 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/6561 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (/.f64 -1/9 x) 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 -1/81 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 -1/81 (pow.f64 x -2)) 1))))))

simplify59.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
746×times-frac_binary64
574×associate-/r*_binary64
521×associate-/l/_binary64
424×fma-neg_binary64
398×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018402
138366
268366
3132366
4343366
51227366
66263366
Stop Event
1×node limit
Counts
210 → 172
Calls
Call 1
Inputs
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(/.f64 -1/81 (pow.f64 x 2))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(/.f64 -1/81 (pow.f64 x 2))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(/.f64 1/9 x)
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
y
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(+.f64 y (*.f64 1/9 (/.f64 1 x)))
(+.f64 y (/.f64 1/9 x))
(/.f64 -1/81 (pow.f64 x 2))
(/.f64 -1/81 (*.f64 x x))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(pow.f64 y 2)
(*.f64 y y)
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(pow.f64 y 2)
(*.f64 y y)
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(/.f64 -1/81 (pow.f64 x 2))
(/.f64 -1/81 (*.f64 x x))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(pow.f64 y 2)
(*.f64 y y)
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(pow.f64 y 2)
(*.f64 y y)
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))
(-.f64 (pow.f64 y 2) (*.f64 1/81 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
(fma.f64 y y (/.f64 -1/81 (*.f64 x x)))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 y -3 (/.f64 (/.f64 1 x) -3))
✓0.3b
(/.f64 (/.f64 1 x) -3)
✓0.5b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
Compiler

Compiled 47 to 34 computations (27.7% saved)

series4.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite79.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
518×log-prod_binary64
396×exp-prod_binary64
319×pow-prod-down_binary64
292×pow2_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01137
124028
2300328
Stop Event
1×node limit
Counts
3 → 107
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
(/.f64 (/.f64 1 x) -3)
(fma.f64 y -3 (/.f64 (/.f64 1 x) -3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 x)) (*.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3)) (sqrt.f64 x)) (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 -27 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))) (fma.f64 (fma.f64 -3 y (/.f64 -1/3 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) -3 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 x)) (cbrt.f64 (*.f64 (pow.f64 x -2) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) 1/9)) (cbrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 x)) (sqrt.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/3 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1/3 x)))) (sqrt.f64 (log.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1/3 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/3 x) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -3 y (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 y) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3 y) 1) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -3 y (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -3 y) 3) (pow.f64 (/.f64 -1/3 x) 3)) (+.f64 (pow.f64 (*.f64 -3 y) 2) (-.f64 (*.f64 (pow.f64 x -2) 1/9) (*.f64 (*.f64 -3 y) (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -3 y) 2) (*.f64 (pow.f64 x -2) 1/9)) (-.f64 (*.f64 -3 y) (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))) (sqrt.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 x))) (pow.f64 (exp.f64 y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) -3) (+.f64 1 (expm1.f64 (/.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -3 y (/.f64 -1/3 x))) 3) 1/3))))))

simplify105.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
919×fma-neg_binary64
371×fma-def_binary64
318×cancel-sign-sub-inv_binary64
180×distribute-rgt-in_binary64
111×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021491
146428
2100390
3261390
4668390
51446390
62378390
73159390
83945390
93983390
103993390
113993390
Stop Event
1×saturated
Counts
155 → 118
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
Outputs
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x)))
(*.f64 (+.f64 3 (/.f64 -1/3 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(*.f64 3 (*.f64 y (sqrt.f64 x)))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(+.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x))))
(fma.f64 3 (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (-.f64 3 (/.f64 1/3 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (+.f64 (neg.f64 (+.f64 3 (/.f64 -1/3 x))) (*.f64 3 y)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y (+.f64 (/.f64 1/3 x) -3)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) (fma.f64 3 y -3)))
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(/.f64 -1/3 x)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(*.f64 -3 y)
(*.f64 y -3)
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (*.f64 y -3) (/.f64 1/3 x))
(fma.f64 y -3 (/.f64 -1/3 x))

eval295.0ms (3.4%)

Compiler

Compiled 14506 to 10190 computations (29.8% saved)

prune106.0ms (1.2%)

Pruning

28 alts after pruning (18 fresh and 10 done)

PrunedKeptTotal
New67010680
Fresh4812
Picked011
Done2911
Total67628704
Error
0.0b
Counts
704 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
✓62.1b
(sqrt.f64 (*.f64 x 9))
✓0.4b
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))
27.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (-.f64 (/.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 y y) 9)) (+.f64 (/.f64 -1/3 x) (*.f64 3 y)))))
17.9b
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
17.9b
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
18.0b
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
46.5b
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3) (pow.f64 (*.f64 x 9) 3/2)))
✓43.3b
(*.f64 -3 (sqrt.f64 x))
34.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (/.f64 -1/81 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) y)) 1))
17.9b
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
43.2b
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
✓0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
✓26.2b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
18.0b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2) 1))
46.0b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
62.1b
(*.f64 (sqrt.f64 x) 3)
37.8b
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
✓0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
26.5b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 y 1))
✓0.6b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 1 (*.f64 x -3)))))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
45.7b
(*.f64 y (*.f64 (sqrt.f64 x) 3))
31.5b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (-.f64 (+.f64 (/.f64 -1/9 x) 1) 1) y)) 1))
37.8b
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
✓45.7b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
51.3b
(cbrt.f64 (*.f64 -27 (pow.f64 x 3/2)))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
17.9b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1))
Compiler

Compiled 360 to 290 computations (19.4% saved)

regimes110.0ms (1.3%)

Counts
56 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (-.f64 (*.f64 -3 y) (*.f64 1/3 (/.f64 1 x)))))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (/.f64 -1/81 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) y)) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y)) 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 (-.f64 (/.f64 1/9 (*.f64 x x)) (*.f64 (*.f64 y y) 9)) (+.f64 (/.f64 -1/3 x) (*.f64 3 y)))))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (-.f64 (+.f64 (/.f64 -1/9 x) 1) 1) y)) 1))
(cbrt.f64 (*.f64 -27 (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 x) (fma.f64 3 y -3))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (fma.f64 3 (-.f64 y (/.f64 -1/9 x)) -3))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 1 (*.f64 x -3)))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 (/.f64 1 x) -3))))
(sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2) 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 3) (pow.f64 (*.f64 x 9) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))) 3)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 3) (pow.f64 (*.f64 3 (sqrt.f64 x)) 3)))
(/.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
Calls

3 calls:

31.0ms
y
31.0ms
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
27.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
0.3b1(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
Compiler

Compiled 689 to 489 computations (29% saved)

regimes37.0ms (0.4%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
Calls

2 calls:

15.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
Compiler

Compiled 252 to 173 computations (31.3% saved)

regimes28.0ms (0.3%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
Outputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
Calls

2 calls:

12.0ms
y
11.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
0.6b1y
Compiler

Compiled 178 to 120 computations (32.6% saved)

regimes161.0ms (1.8%)

Counts
21 → 4
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1))
Outputs
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
Calls

2 calls:

124.0ms
x
30.0ms
y
Results
ErrorSegmentsBranch
6.6b4x
7.7b3y
Compiler

Compiled 166 to 112 computations (32.5% saved)

bsearch196.0ms (2.2%)

Algorithm
3×binary-search
Steps
TimeLeftRight
62.0ms
6.038161880615068e-18
1.957253475891362e-16
25.0ms
3.8193088842551867e-90
2.814667305338936e-86
109.0ms
5.4143007043084625e-121
1.5154094117655195e-115
Compiler

Compiled 21 to 17 computations (19% saved)

regimes91.0ms (1%)

Counts
17 → 4
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
Outputs
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
Calls

2 calls:

60.0ms
x
26.0ms
y
Results
ErrorSegmentsBranch
6.6b4x
7.7b3y
Compiler

Compiled 124 to 80 computations (35.5% saved)

bsearch72.0ms (0.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
24.0ms
6.038161880615068e-18
1.957253475891362e-16
24.0ms
3.8193088842551867e-90
2.814667305338936e-86
24.0ms
5.4143007043084625e-121
1.5154094117655195e-115
Compiler

Compiled 21 to 17 computations (19% saved)

regimes110.0ms (1.3%)

Counts
15 → 4
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
Calls

2 calls:

72.0ms
y
33.0ms
x
Results
ErrorSegmentsBranch
6.6b4x
7.7b3y
Compiler

Compiled 104 to 66 computations (36.5% saved)

bsearch97.0ms (1.1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
27.0ms
6.038161880615068e-18
1.957253475891362e-16
24.0ms
3.8193088842551867e-90
2.814667305338936e-86
45.0ms
5.4143007043084625e-121
1.5154094117655195e-115
Compiler

Compiled 21 to 17 computations (19% saved)

regimes46.0ms (0.5%)

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

2 calls:

23.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
15.9b3x
7.7b3y
Compiler

Compiled 72 to 45 computations (37.5% saved)

bsearch52.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
5872452.506638171
263833844233660.1
27.0ms
-4.952114489931578e+77
-5.4440419667114104e+76
Compiler

Compiled 21 to 17 computations (19% saved)

regimes93.0ms (1.1%)

Counts
10 → 4
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
Calls

2 calls:

64.0ms
y
25.0ms
x
Results
ErrorSegmentsBranch
16.3b4x
19.4b10y
Compiler

Compiled 64 to 40 computations (37.5% saved)

bsearch91.0ms (1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
27.0ms
6.038161880615068e-18
1.957253475891362e-16
26.0ms
3.8193088842551867e-90
2.814667305338936e-86
38.0ms
5.4143007043084625e-121
1.5154094117655195e-115
Compiler

Compiled 21 to 17 computations (19% saved)

regimes33.0ms (0.4%)

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

2 calls:

19.0ms
y
11.0ms
x
Results
ErrorSegmentsBranch
34.9b2x
26.7b3y
Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch50.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
5.917875495747886e-6
0.00015119855769826104
25.0ms
-9.282580811589514e-6
-1.2866860071569336e-15
Compiler

Compiled 21 to 17 computations (19% saved)

regimes27.0ms (0.3%)

Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
Outputs
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
Calls

2 calls:

14.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
34.9b2x
26.7b3y
Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch116.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
87.0ms
5.917875495747886e-6
0.00015119855769826104
29.0ms
-9.282580811589514e-6
-1.2866860071569336e-15
Compiler

Compiled 21 to 17 computations (19% saved)

regimes96.0ms (1.1%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
Outputs
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
Calls

2 calls:

58.0ms
x
34.0ms
y
Results
ErrorSegmentsBranch
35.1b2x
27.0b3y
Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch59.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
5.917875495747886e-6
0.00015119855769826104
33.0ms
-9.282580811589514e-6
-1.2866860071569336e-15
Compiler

Compiled 21 to 17 computations (19% saved)

regimes11.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
Calls

2 calls:

5.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
43.2b1x
43.2b1y
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
43.3b1x
43.3b1y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes33.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
Outputs
(*.f64 (sqrt.f64 x) 3)
Calls

2 calls:

29.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
62.1b1x
62.1b1y
Compiler

Compiled 16 to 12 computations (25% saved)

simplify161.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
30×*-commutative_binary64
20×+-commutative_binary64
16×sub-neg_binary64
11×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081504
1116499
2134499
3159499
4179499
5193499
6199499
7202499
8203499
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1)) (if (<=.f64 x 35038318560311420/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1)) (if (<=.f64 x 35038318560311420/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (if (<=.f64 x 35038318560311420/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))))
(if (<=.f64 y -495211448993157836886465104559774380871329441840093482338672537095707371241472) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 25221991463324168/4294967296) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 3 (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (if (<=.f64 x 35038318560311420/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) -1))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 3 (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) 3)
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) -1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 (-.f64 y (/.f64 -1/9 x)) -1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 (+.f64 y (/.f64 1/9 x)) -1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 y -3))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1)) (if (<=.f64 x 35038318560311420/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)) (if (<=.f64 x 8759579640077855/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 1/3 (/.f64 1 x)) -3)) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)) (if (<=.f64 x 8759579640077855/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 1/3 (/.f64 1 x)))) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1)) (if (<=.f64 x 35038318560311420/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1)) (if (<=.f64 x 8759579640077855/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (if (<=.f64 x 35038318560311420/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (if (<=.f64 x 8759579640077855/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)))))
(if (<=.f64 y -495211448993157836886465104559774380871329441840093482338672537095707371241472) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 25221991463324168/4294967296) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 3 (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y -495211448993157836886465104559774380871329441840093482338672537095707371241472) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 3152748932915521/536870912) (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) (*.f64 3 (*.f64 y (sqrt.f64 x)))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (if (<=.f64 x 35038318560311420/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) -1))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (if (<=.f64 x 8759579640077855/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) -1))))
(if (<=.f64 x 3148258733497895/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (if (<=.f64 x 8759579640077855/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 x 7837982241010591/1298074214633706907132624082305024) (*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x)) (neg.f64 (sqrt.f64 (*.f64 x 9))))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 3 (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 3 (*.f64 y (sqrt.f64 x)))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (neg.f64 (sqrt.f64 (*.f64 x 9))) (*.f64 3 (*.f64 y (sqrt.f64 x)))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 (sqrt.f64 x) (*.f64 y 3))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 y (*.f64 (sqrt.f64 x) 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (neg.f64 (sqrt.f64 (*.f64 x 9))) (*.f64 (sqrt.f64 x) (*.f64 y 3))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 (sqrt.f64 x) (*.f64 y 3))))
(if (<=.f64 y -1369867140599351/147573952589676412928) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 y 6986594222728851/1180591620717411303424) (neg.f64 (sqrt.f64 (*.f64 x 9))) (*.f64 (sqrt.f64 x) (*.f64 y 3))))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(neg.f64 (sqrt.f64 (*.f64 x 9)))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) 3)
Compiler

Compiled 359 to 268 computations (25.3% saved)

soundness0.0ms (0%)

end270.0ms (3.1%)

Compiler

Compiled 333 to 231 computations (30.6% saved)

Profiling

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