Details

Time bar (total: 8.5s)

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)

sample1.6s (18.5%)

Results
1.5s8256×body256valid
90.0ms436×body256invalid

preprocess71.0ms (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)

simplify249.0ms (2.9%)

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

Compiled 29 to 23 computations (20.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x)))
✓0.1b
(fma.f64 y -3 (/.f64 -1/3 x))
✓0.3b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
✓0.4b
(/.f64 -1/3 x)
Compiler

Compiled 36 to 24 computations (33.3% saved)

series14.0ms (0.2%)

Counts
4 → 60
Calls

21 calls:

TimeVariablePointExpression
3.0ms
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
x
@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))))

rewrite90.0ms (1.1%)

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
01039
122039
2273039
Stop Event
1×node limit
Counts
4 → 165
Calls
Call 1
Inputs
(/.f64 -1/3 x)
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
(fma.f64 y -3 (/.f64 -1/3 x))
(-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x)))
Outputs
((#(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 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 (*.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 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)))))))
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egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x)))) (sqrt.f64 (fma.f64 -3 y (/.f64 -1/3 x))) -3)))))

simplify108.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
809×fma-neg_binary64
534×fma-def_binary64
348×cancel-sign-sub-inv_binary64
142×distribute-rgt-in_binary64
107×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032678
177607
2160569
3369569
4942569
52035569
62980569
73356569
83997569
94005569
104005569
Stop Event
1×saturated
Counts
225 → 187
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)))
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (+.f64 (*.f64 3 y) (*.f64 1/3 (/.f64 1 x))) 3)
(-.f64 (+.f64 (*.f64 3 y) (*.f64 1/3 (/.f64 1 x))) 3)
(-.f64 (+.f64 (*.f64 3 y) (*.f64 1/3 (/.f64 1 x))) 3)
(*.f64 3 y)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(*.f64 3 y)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(/.f64 1/3 x)
(+.f64 (*.f64 -1 (+.f64 3 (*.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (*.f64 -1 (+.f64 3 (*.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (*.f64 -1 (+.f64 3 (*.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(*.f64 -1 (+.f64 3 (*.f64 -3 y)))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(*.f64 -1 (+.f64 3 (*.f64 -3 y)))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
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) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 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) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 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) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 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) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 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) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 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) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 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) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 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) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 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) (-.f64 (/.f64 1/3 x) (fma.f64 y -3 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))
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (+.f64 (*.f64 3 y) (*.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (*.f64 3 y) (*.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (*.f64 3 y) (*.f64 1/3 (/.f64 1 x))) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 3 y)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 3 y)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 3 y)) 3)
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(/.f64 1/3 x)
(+.f64 (*.f64 -1 (+.f64 3 (*.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (*.f64 -1 (+.f64 3 (*.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (*.f64 -1 (+.f64 3 (*.f64 -3 y))) (*.f64 1/3 (/.f64 1 x)))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 -1 (+.f64 3 (*.f64 -3 y)))
(neg.f64 (+.f64 3 (*.f64 y -3)))
(fma.f64 3 y -3)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(*.f64 -1 (+.f64 3 (*.f64 -3 y)))
(neg.f64 (+.f64 3 (*.f64 y -3)))
(fma.f64 3 y -3)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1 (+.f64 3 (*.f64 -3 y))))
(+.f64 (fma.f64 3 y (/.f64 1/3 x)) -3)
(-.f64 (/.f64 1/3 x) (fma.f64 y -3 3))
(+.f64 (/.f64 1/3 x) (fma.f64 3 y -3))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 y (/.f64 1 (*.f64 x 9)))
✓0.3b
(*.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)

series12.0ms (0.1%)

Counts
4 → 48
Calls

18 calls:

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

rewrite89.0ms (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))))))
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((#(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)) 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(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)))))

simplify257.0ms (3%)

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))

eval516.0ms (6.1%)

Compiler

Compiled 5717 to 4109 computations (28.1% saved)

prune68.0ms (0.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New31418332
Fresh000
Picked011
Done101
Total31519334
Error
0.0b
Counts
334 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
20.7b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
▶20.7b
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
39.0b
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
42.4b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
▶42.4b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
0.4b
(fma.f64 (sqrt.f64 x) -3 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))
25.7b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
20.7b
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
▶1.3b
(pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 (/.f64 1 x) 1/9)) 1))
42.4b
(*.f64 y (*.f64 3 (sqrt.f64 x)))
▶25.7b
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
✓0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
20.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
1.2b
(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3))
0.3b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))))
▶0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
Compiler

Compiled 488 to 391 computations (19.9% saved)

localize22.0ms (0.3%)

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))
✓0.3b
(*.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 (0.1%)

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

rewrite78.0ms (0.9%)

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))))))

simplify227.0ms (2.7%)

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))))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (sqrt.f64 x) y)
✓0.3b
(*.f64 3 (*.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
@0
(*.f64 3 (*.f64 (sqrt.f64 x) y))
1.0ms
y
@0
(*.f64 3 (*.f64 (sqrt.f64 x) y))
1.0ms
y
@inf
(*.f64 3 (*.f64 (sqrt.f64 x) y))
1.0ms
x
@inf
(*.f64 3 (*.f64 (sqrt.f64 x) y))

rewrite58.0ms (0.7%)

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
2161115
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 (sqrt.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (sqrt.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 (sqrt.f64 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 (sqrt.f64 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 (sqrt.f64 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x (*.f64 y y)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 3 (sqrt.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 (sqrt.f64 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 (sqrt.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 (sqrt.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 (sqrt.f64 x) y))))))))
((#(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)))))))

simplify13.0ms (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 → 24
Calls
Call 1
Inputs
(*.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)))
(*.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))
Outputs
(*.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)))
(*.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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 15 computations (34.8% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

9 calls:

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

rewrite65.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
876×pow1_binary64
814×add-log-exp_binary64
814×log1p-expm1-u_binary64
814×expm1-log1p-u_binary64
798×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117419
2220019
Stop Event
1×node limit
Counts
2 → 48
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(-.f64 -3 (*.f64 y -3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 x)) (*.f64 (*.f64 y 3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27)) (sqrt.f64 x)) (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (sqrt.f64 x)) (*.f64 (+.f64 y 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 -27 (*.f64 (pow.f64 y 3) -27))) (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 9 (*.f64 y (*.f64 9 y)))) (*.f64 (+.f64 y 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (+.f64 -3 (*.f64 y 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 -3 (*.f64 y 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -3 (*.f64 y 3)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (*.f64 y 3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (*.f64 y 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -3 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) (pow.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) 2) (cbrt.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (*.f64 y 3))) (sqrt.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27)) (/.f64 1 (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (/.f64 1 (*.f64 (+.f64 y 1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) 1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))) (-.f64 -27 (*.f64 (pow.f64 y 3) -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 y 1) -3) (-.f64 9 (*.f64 y (*.f64 9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27)) (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (*.f64 (+.f64 y 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27))) (neg.f64 (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 9 (*.f64 y (*.f64 9 y)))) (neg.f64 (*.f64 (+.f64 y 1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (*.f64 y 3) 3)) (+.f64 9 (-.f64 (*.f64 (*.f64 y 3) (*.f64 y 3)) (*.f64 -3 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (*.f64 y 3) (*.f64 y 3))) (-.f64 -3 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -3 (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -3 (*.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -3 (*.f64 y 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -3 (*.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -3 (*.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -3 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -3 (*.f64 y 3))))))))

simplify13.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
012213
122168
236168
342168
Stop Event
1×saturated
Counts
72 → 57
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)))
-3
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
(-.f64 (*.f64 3 y) 3)
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) (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) (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) (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) (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) (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) (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) (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) (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) (fma.f64 3 y -3))
-3
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(*.f64 3 y)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)
(-.f64 (*.f64 3 y) 3)
(fma.f64 3 y -3)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 45 to 34 computations (24.4% saved)

series9.0ms (0.1%)

Counts
4 → 15
Calls

12 calls:

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

rewrite83.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
497×log-prod_binary64
373×exp-prod_binary64
307×pow-prod-down_binary64
265×pow2_binary64
232×prod-diff_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01138
123638
2279936
Stop Event
1×node limit
Counts
4 → 148
Calls
Call 1
Inputs
(*.f64 1/9 (/.f64 1 x))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))
(-.f64 (*.f64 1/9 (/.f64 1 x)) 1)
Outputs
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-1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/9 x) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 1/9) -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) -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 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/9 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1/9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (sqrt.f64 x)) (*.f64 (/.f64 1/3 (sqrt.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/9 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/9 (pow.f64 x -1/2)) (pow.f64 x -1/2) -1)))))

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0554
Stop Event
1×saturated
Counts
163 → 149
Calls
Call 1
Inputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
-1
-1
Outputs
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
(/.f64 1/9 x)
-1
-1

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 3 (sqrt.f64 x))
✓0.4b
(/.f64 1/9 x)
✓0.5b
(cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
Compiler

Compiled 66 to 45 computations (31.8% saved)

series36.0ms (0.4%)

Counts
3 → 24
Calls

15 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
7.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
6.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
4.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
3.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)

rewrite107.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
680×log-prod_binary64
437×fma-def_binary64
365×pow2_binary64
250×pow1/3_binary64
250×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
132042
2419742
Stop Event
1×node limit
Counts
3 → 146
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
(cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
(/.f64 1/9 x)
Outputs
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simplify111.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
773×distribute-rgt-in_binary64
648×associate-*r*_binary64
510×associate-*l*_binary64
508×times-frac_binary64
381×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03973928
113673521
251363204
Stop Event
1×node limit
Counts
170 → 194
Calls
Call 1
Inputs
(*.f64 3 (*.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x))))
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 1 1/6) (*.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/6) (*.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (*.f64 3 (*.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x))))))
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(+.f64 (*.f64 -1/3 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3) (*.f64 (*.f64 (cbrt.f64 3) (+.f64 (*.f64 -2/6561 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3))) (*.f64 1/19683 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6))))) (+.f64 (*.f64 -1/729 (*.f64 (pow.f64 (pow.f64 1 11) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 7)) 1/9) (*.f64 (cbrt.f64 3) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6))))) (+.f64 (*.f64 (sqrt.f64 1) (*.f64 (pow.f64 (-.f64 y 1) 1/3) (*.f64 (pow.f64 x 1/6) (cbrt.f64 3)))) (*.f64 1/27 (*.f64 (pow.f64 (pow.f64 1 11) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y 1) 2)) 1/9) (*.f64 (cbrt.f64 3) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))))))
(*.f64 (pow.f64 (*.f64 -1 x) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 (-.f64 y 1))) 1/3) (cbrt.f64 3)))
(+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 7) 1) (pow.f64 (-.f64 y 1) 2)) 1/9) (cbrt.f64 3)))) (*.f64 (pow.f64 (*.f64 -1 x) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 (-.f64 y 1))) 1/3) (cbrt.f64 3))))
(+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 7) 1) (pow.f64 (-.f64 y 1) 2)) 1/9) (cbrt.f64 3)))) (+.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 (-.f64 y 1))) 1/3) (cbrt.f64 3))) (*.f64 -1/729 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 x 11)) 1/6) (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 11) 1) (pow.f64 (-.f64 y 1) 7)) 1/9) (cbrt.f64 3))))))
(+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 x 5)) 1/6) (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 7) 1) (pow.f64 (-.f64 y 1) 2)) 1/9) (cbrt.f64 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 x 17)) 1/6) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (-.f64 y 1) 2))) 1/3) (*.f64 (+.f64 (*.f64 -1/19683 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 7) 1) (pow.f64 (-.f64 y 1) 2)) 1/3)) (*.f64 2/6561 (*.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 7) (pow.f64 (-.f64 y 1) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (cbrt.f64 3))))) (+.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/6) (*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 (-.f64 y 1))) 1/3) (cbrt.f64 3))) (*.f64 -1/729 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 x 11)) 1/6) (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 11) 1) (pow.f64 (-.f64 y 1) 7)) 1/9) (cbrt.f64 3)))))))
(*.f64 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 1/3) (*.f64 (sqrt.f64 1) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/9) (*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 y (cbrt.f64 3)) (pow.f64 x 1/6))))) (*.f64 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 1/3) (*.f64 (sqrt.f64 1) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/9) (*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 y (cbrt.f64 3)) (pow.f64 x 1/6))))) (+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 1/3) (*.f64 (sqrt.f64 1) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 7)) 1/9) (*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 3)) (pow.f64 x 1/6)))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/9) (*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 y (cbrt.f64 3)) (pow.f64 x 1/6))))) (+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 1/3) (*.f64 (sqrt.f64 1) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/3) (*.f64 (sqrt.f64 1) (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/3))) (*.f64 (pow.f64 y 3) (cbrt.f64 3))) (pow.f64 x 1/6))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 7)) 1/9) (*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 3)) (pow.f64 x 1/6))))))))
Outputs
(*.f64 3 (*.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x))))
(*.f64 3 (*.f64 (+.f64 y -1) (sqrt.f64 x)))
(*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3))
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 1 1/6) (*.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/6) (*.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (*.f64 3 (*.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x))))))
(+.f64 (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18)) (sqrt.f64 (/.f64 1 x)))) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18)) (sqrt.f64 (/.f64 1 x))))) (*.f64 3 (*.f64 (+.f64 y -1) (sqrt.f64 x))))
(+.f64 (*.f64 (+.f64 y -1) (*.f64 (sqrt.f64 x) 3)) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18)) (sqrt.f64 (/.f64 1 x))) 1/3))
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 1 1/6) (*.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 2/243 (*.f64 (pow.f64 1 1/6) (*.f64 (pow.f64 (/.f64 1 (-.f64 y 1)) 1/9) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (*.f64 -1/243 (*.f64 (pow.f64 1 1/6) (*.f64 (pow.f64 (/.f64 1 (-.f64 y 1)) 1/9) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/6) (*.f64 (pow.f64 (pow.f64 (-.f64 y 1) 4) 1/9) (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 (sqrt.f64 1) (*.f64 (*.f64 (+.f64 (*.f64 1/729 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (-.f64 y 1) 4)) 1/9) (*.f64 (pow.f64 x 1/3) (pow.f64 (cbrt.f64 3) 2)))) (*.f64 -2/729 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (-.f64 y 1) 4)) 1/9) (*.f64 (pow.f64 x 1/3) (pow.f64 (cbrt.f64 3) 2))))) (cbrt.f64 3)) (*.f64 (pow.f64 (-.f64 y 1) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)))) (*.f64 3 (*.f64 (pow.f64 1 1/6) (*.f64 (-.f64 y 1) (sqrt.f64 x)))))))))
(+.f64 (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18)) (sqrt.f64 (/.f64 1 x)))) (*.f64 2/243 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 y -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 y -1)) 1/18)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (+.f64 (*.f64 -1/243 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 y -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 y -1)) 1/18)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18)) (sqrt.f64 (/.f64 1 x))))) (+.f64 (*.f64 3 (*.f64 (+.f64 y -1) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 y -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 y -1) 4)) 1/18)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 3) 2))) -1/729) (*.f64 (cbrt.f64 3) (*.f64 (cbrt.f64 (+.f64 y -1)) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)))))))
(fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18)) (sqrt.f64 (/.f64 1 x))) (+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 y -1) 4) 1/18)) (sqrt.f64 (/.f64 1 x))) 2/9 (fma.f64 3 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 y -1) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 y -1) 4)) 1/18) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 3) 2)))) (*.f64 -1/729 (*.f64 (*.f64 (cbrt.f64 3) (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (cbrt.f64 (+.f64 y -1))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 y -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 y -1)) 1/18)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) 1/243)))
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(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)) 1/18)) (*.f64 (*.f64 1 (*.f64 y (cbrt.f64 3))) (pow.f64 x 1/6))) (fma.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 7)) 1/18)) (*.f64 1 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6))))))))
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (*.f64 (cbrt.f64 3) (*.f64 y (pow.f64 x 1/6))))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18)) (*.f64 (cbrt.f64 3) (*.f64 (*.f64 y y) (pow.f64 x 1/6)))) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/9 x))) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)))))
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (*.f64 (cbrt.f64 3) (*.f64 y (pow.f64 x 1/6))))) (*.f64 (pow.f64 x 1/6) (+.f64 (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18))) (*.f64 (cbrt.f64 3) (*.f64 y y))) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/9 x))) (cbrt.f64 3)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/9) (*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 y (cbrt.f64 3)) (pow.f64 x 1/6))))) (+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 1/3) (*.f64 (sqrt.f64 1) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/3) (*.f64 (sqrt.f64 1) (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 2)) 1/3))) (*.f64 (pow.f64 y 3) (cbrt.f64 3))) (pow.f64 x 1/6))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) 7)) 1/9) (*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 3)) (pow.f64 x 1/6))))))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)) 1/18)) (*.f64 (*.f64 1 (*.f64 y (cbrt.f64 3))) (pow.f64 x 1/6))) (fma.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) -1)) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2))) (*.f64 (pow.f64 x 1/6) (*.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2))) (*.f64 -2/9 (*.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2)))))) (*.f64 (cbrt.f64 3) (pow.f64 y 3))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 7)) 1/18)) (*.f64 1 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)))))))))
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (*.f64 (cbrt.f64 3) (*.f64 y (pow.f64 x 1/6))))) (fma.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/9 x))) (*.f64 (cbrt.f64 3) (pow.f64 x 1/6)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2))) (*.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2))) (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2))))) (*.f64 (cbrt.f64 3) (*.f64 (pow.f64 y 3) (pow.f64 x 1/6))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18)) (*.f64 (*.f64 (cbrt.f64 3) (*.f64 (*.f64 y y) (pow.f64 x 1/6))) -1/9)))))
(+.f64 (*.f64 (pow.f64 x 1/6) (+.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 1/9 x))) (cbrt.f64 3)) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)) 1/18))) (*.f64 y (cbrt.f64 3))))) (*.f64 (pow.f64 x 1/6) (+.f64 (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 7)) 1/18))) (*.f64 (cbrt.f64 3) (*.f64 y y))) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2)))) (*.f64 (cbrt.f64 3) (*.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 1/9 x)) 2))) -5/27)))))))

eval314.0ms (3.7%)

Compiler

Compiled 14525 to 11445 computations (21.2% saved)

prune104.0ms (1.2%)

Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New58714601
Fresh8513
Picked101
Done235
Total59822620
Error
0b
Counts
620 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
▶38.8b
(/.f64 (*.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (sqrt.f64 x)) (*.f64 (+.f64 y 1) -3))
▶20.7b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
43.4b
(/.f64 (*.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27)) (sqrt.f64 x)) (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))))
39.0b
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
20.7b
(*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
✓42.4b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
✓0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
20.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶45.8b
(*.f64 (sqrt.f64 x) -3)
25.6b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
42.4b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
▶20.7b
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
21.3b
(*.f64 3 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))) 3))
26.1b
(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) 3))
0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 (/.f64 1 x) 1/9)) 1))
42.4b
(*.f64 y (*.f64 3 (sqrt.f64 x)))
✓25.7b
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
0.4b
(*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
▶0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.6b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
20.7b
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 1/9 x) 3) -3))
20.7b
(*.f64 3 (*.f64 (-.f64 (/.f64 1 (/.f64 x 1/9)) 1) (sqrt.f64 x)))
Compiler

Compiled 536 to 435 computations (18.8% 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))
✓0.3b
(*.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)

series5.0ms (0.1%)

Counts
3 → 36
Calls

15 calls:

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

rewrite90.0ms (1.1%)

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
01229
126729
2346829
Stop Event
1×node limit
Counts
3 → 183
Calls
Call 1
Inputs
(/.f64 -1/9 x)
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(-.f64 y (/.f64 -1/9 x))
Outputs
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simplify226.0ms (2.7%)

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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 6 computations (40% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite46.0ms (0.5%)

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
210926
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.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 (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 (+.f64 1 (*.f64 (sqrt.f64 x) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) -3) 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 (pow.f64 x 3/2) -27) 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 (sqrt.f64 (*.f64 (sqrt.f64 x) -3)) 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 (sqrt.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) -27))))) (#(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)))))))

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 23 to 16 computations (30.4% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite62.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
894×pow1_binary64
839×add-log-exp_binary64
839×log1p-expm1-u_binary64
839×expm1-log1p-u_binary64
824×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
118019
2226719
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(-.f64 -3 (/.f64 -1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (sqrt.f64 x)) (*.f64 (/.f64 1/3 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3))) (sqrt.f64 x)) (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1/9 (*.f64 x x))) (sqrt.f64 x)) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3)))) (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (-.f64 9 (/.f64 1/9 (*.f64 x x)))) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (/.f64 1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -3 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))) (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))) 2) (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (/.f64 1/3 x))) (sqrt.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 (+.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x)) (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -3 (/.f64 -1/3 x)) (-.f64 9 (/.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3))) (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (/.f64 1/9 (*.f64 x x))) (+.f64 -3 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -27 (/.f64 -1/27 (pow.f64 x 3)))) (neg.f64 (+.f64 (+.f64 9 (/.f64 1/9 (*.f64 x x))) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 9 (/.f64 1/9 (*.f64 x x)))) (neg.f64 (+.f64 -3 (/.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (/.f64 1/3 x) 3)) (+.f64 9 (-.f64 (*.f64 (/.f64 1/3 x) (/.f64 1/3 x)) (*.f64 -3 (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (/.f64 1/3 x) (/.f64 1/3 x))) (-.f64 -3 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -3 (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -3 (/.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -3 (/.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -3 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -3 (/.f64 1/3 x))))))))

simplify10.0ms (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
01069
11769
22069
Stop Event
1×saturated
Counts
59 → 50
Calls
Call 1
Inputs
(/.f64 1/3 x)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
Outputs
(/.f64 1/3 x)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
-3
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
(+.f64 (/.f64 1/3 x) -3)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 33 to 25 computations (24.2% saved)

series8.0ms (0.1%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
1.0ms
x
@inf
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
1.0ms
x
@0
(*.f64 1/3 (/.f64 1 x))
0.0ms
x
@0
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
0.0ms
x
@0
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)

rewrite66.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
965×pow1_binary64
902×add-log-exp_binary64
902×log1p-expm1-u_binary64
902×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
121523
2251723
Stop Event
1×node limit
Counts
3 → 70
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 1 x))
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
(-.f64 (*.f64 1/3 (/.f64 1 x)) 3)
Outputs
((#(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 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) 1)))) (#(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 (pow.f64 (/.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 x x)))))) (#(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 +.f64 (*.f64 (/.f64 1/3 x) (sqrt.f64 x)) (*.f64 -3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (*.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/3 x) 3) -27) (sqrt.f64 x)) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 (/.f64 1 x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/9 (*.f64 x x)) -9) (sqrt.f64 x)) (+.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (+.f64 (pow.f64 (/.f64 1/3 x) 3) -27)) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 (/.f64 1 x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 (*.f64 x x)) -9)) (+.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (+.f64 (/.f64 1/3 x) -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 (/.f64 1/3 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 (/.f64 1/3 x) -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/3 x) -3) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/3 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/3 x) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1/3 x) -3)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 x) -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 x) -3) 2)) (cbrt.f64 (+.f64 (/.f64 1/3 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/3 x) -3)) (sqrt.f64 (+.f64 (/.f64 1/3 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 1/3 x) 3) -27) (/.f64 1 (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 (/.f64 1 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/9 (*.f64 x x)) -9) (/.f64 1 (+.f64 (/.f64 1/3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 (/.f64 1 x) 9)) (+.f64 (pow.f64 (/.f64 1/3 x) 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/3 x) 3) (+.f64 (/.f64 1/9 (*.f64 x x)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1/3 x) 3) -27) (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 (/.f64 1 x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1/3 x) 3) -27) (+.f64 (/.f64 1/9 (*.f64 x x)) (-.f64 9 (*.f64 (/.f64 1/3 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/9 (*.f64 x x)) -9) (+.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/9 (*.f64 x x)) -9) (-.f64 (/.f64 1/3 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 1/3 x) 3) -27)) (neg.f64 (+.f64 (/.f64 1/9 (*.f64 x x)) (+.f64 (/.f64 1 x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/9 (*.f64 x x)) -9)) (neg.f64 (+.f64 (/.f64 1/3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/3 x) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/3 x) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 x) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/3 x) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/3 x) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/3 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/3 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 x) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/3 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/3 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/3 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 1 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/3 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/3 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/9 (*.f64 x x))) (cbrt.f64 (/.f64 1/3 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)) -3)))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0554
Stop Event
1×saturated
Counts
85 → 71
Calls
Call 1
Inputs
(/.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)
-3
-3
Outputs
(/.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)
-3
-3

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 y 1) -3)
✓0.1b
(*.f64 y (*.f64 9 y))
✓3.0b
(*.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (sqrt.f64 x))
✓12.9b
(/.f64 (*.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (sqrt.f64 x)) (*.f64 (+.f64 y 1) -3))
Compiler

Compiled 58 to 39 computations (32.8% saved)

series12.0ms (0.1%)

Counts
4 → 48
Calls

18 calls:

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

rewrite91.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
825×log-prod_binary64
332×prod-diff_binary64
262×log1p-udef_binary64
261×expm1-udef_binary64
225×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01453
131153
2430949
Stop Event
1×node limit
Counts
4 → 126
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (sqrt.f64 x)) (*.f64 (+.f64 y 1) -3))
(*.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (sqrt.f64 x))
(*.f64 y (*.f64 9 y))
(*.f64 (+.f64 y 1) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 9 (/.f64 (fma.f64 y -3 -3) (sqrt.f64 x))) (/.f64 (*.f64 9 (*.f64 y y)) (/.f64 (fma.f64 y -3 -3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (/.f64 1 (/.f64 (fma.f64 y -3 -3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (*.f64 (sqrt.f64 x) (/.f64 -1/3 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (/.f64 -1/3 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (sqrt.f64 x)) (/.f64 -1/3 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) 2))) (*.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (sqrt.f64 x))) (/.f64 -1/3 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x))) (sqrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (fma.f64 y -3 -3)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (sqrt.f64 x))) (/.f64 -1/3 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9))) (/.f64 1 (*.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (+.f64 y 1)) (*.f64 (sqrt.f64 x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) -1/3) (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (+.f64 y 1)) (*.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (/.f64 (+.f64 y 1) (sqrt.f64 x))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) 1) (/.f64 (sqrt.f64 x) (fma.f64 y -3 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 9) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 9) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 9) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 9) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) 9) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9 (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 9 (*.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 9 (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) 9) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9 (*.f64 y y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y -3 -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 y) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y -3 -3))) (cbrt.f64 (exp.f64 (fma.f64 y -3 -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y -3 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -3 -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -3 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y -3 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) -3) (-.f64 (fma.f64 y y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) -3) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -3 (+.f64 1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -3 (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -3 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -3 -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -3 -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -3 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -3 -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -3 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -3 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -3 -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -3 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -3 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -3 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y -3 -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -3 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 y -3)))))

simplify204.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1083×sqr-pow_binary64
655×fabs-mul_binary64
614×pow-sqr_binary64
614×cube-prod_binary64
398×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022489
146435
294399
3181399
4420399
51257399
61634399
72054399
82160399
92307399
102481399
112732399
123057399
133430399
143888399
154479399
165191399
176051399
186481399
196793399
207101399
217185399
227221399
Stop Event
1×node limit
Counts
174 → 143
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)))
(*.f64 9 (sqrt.f64 x))
(+.f64 (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 9 (sqrt.f64 x)))
(+.f64 (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 9 (sqrt.f64 x)))
(+.f64 (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 9 (sqrt.f64 x)))
(*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x)))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x)))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (pow.f64 y 2))
-3
(-.f64 (*.f64 -3 y) 3)
(-.f64 (*.f64 -3 y) 3)
(-.f64 (*.f64 -3 y) 3)
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) 3)
(-.f64 (*.f64 -3 y) 3)
(-.f64 (*.f64 -3 y) 3)
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) 3)
(-.f64 (*.f64 -3 y) 3)
(-.f64 (*.f64 -3 y) 3)
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 y (*.f64 (sqrt.f64 x) 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 (*.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 y (*.f64 (sqrt.f64 x) 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 (*.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 9 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) 9)
(+.f64 (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 9 (sqrt.f64 x)))
(fma.f64 9 (sqrt.f64 x) (*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (+.f64 9 (*.f64 -9 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y -9) y 9))
(*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y -9) 9))
(+.f64 (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 9 (sqrt.f64 x)))
(fma.f64 9 (sqrt.f64 x) (*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (+.f64 9 (*.f64 -9 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y -9) y 9))
(*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y -9) 9))
(+.f64 (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))) (*.f64 9 (sqrt.f64 x)))
(fma.f64 9 (sqrt.f64 x) (*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (+.f64 9 (*.f64 -9 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y -9) y 9))
(*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y -9) 9))
(*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x)))
(*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y)))
(*.f64 (sqrt.f64 x) (*.f64 -9 (*.f64 y y)))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y -9)))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(fma.f64 9 (sqrt.f64 x) (*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (+.f64 9 (*.f64 -9 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y -9) y 9))
(*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y -9) 9))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(fma.f64 9 (sqrt.f64 x) (*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (+.f64 9 (*.f64 -9 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y -9) y 9))
(*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y -9) 9))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(fma.f64 9 (sqrt.f64 x) (*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (+.f64 9 (*.f64 -9 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y -9) y 9))
(*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y -9) 9))
(*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x)))
(*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y)))
(*.f64 (sqrt.f64 x) (*.f64 -9 (*.f64 y y)))
(*.f64 (sqrt.f64 x) (*.f64 y (*.f64 y -9)))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(fma.f64 9 (sqrt.f64 x) (*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (+.f64 9 (*.f64 -9 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y -9) y 9))
(*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y -9) 9))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(fma.f64 9 (sqrt.f64 x) (*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (+.f64 9 (*.f64 -9 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y -9) y 9))
(*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y -9) 9))
(+.f64 (*.f64 9 (sqrt.f64 x)) (*.f64 -9 (*.f64 (pow.f64 y 2) (sqrt.f64 x))))
(fma.f64 9 (sqrt.f64 x) (*.f64 -9 (*.f64 (sqrt.f64 x) (*.f64 y y))))
(*.f64 (sqrt.f64 x) (+.f64 9 (*.f64 -9 (*.f64 y y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y -9) y 9))
(*.f64 (sqrt.f64 x) (fma.f64 y (*.f64 y -9) 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
(*.f64 9 (pow.f64 y 2))
(*.f64 9 (*.f64 y y))
(*.f64 y (*.f64 y 9))
-3
(-.f64 (*.f64 -3 y) 3)
(fma.f64 -3 y -3)
(-.f64 (*.f64 -3 y) 3)
(fma.f64 -3 y -3)
(-.f64 (*.f64 -3 y) 3)
(fma.f64 -3 y -3)
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) 3)
(fma.f64 -3 y -3)
(-.f64 (*.f64 -3 y) 3)
(fma.f64 -3 y -3)
(-.f64 (*.f64 -3 y) 3)
(fma.f64 -3 y -3)
(*.f64 -3 y)
(-.f64 (*.f64 -3 y) 3)
(fma.f64 -3 y -3)
(-.f64 (*.f64 -3 y) 3)
(fma.f64 -3 y -3)
(-.f64 (*.f64 -3 y) 3)
(fma.f64 -3 y -3)

eval199.0ms (2.3%)

Compiler

Compiled 9549 to 6812 computations (28.7% saved)

prune104.0ms (1.2%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New5278535
Fresh5914
Picked101
Done167
Total53423557
Error
0b
Counts
557 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
20.7b
(*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
✓42.4b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
▶61.9b
(sqrt.f64 (*.f64 x 9))
20.8b
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1 (/.f64 x 1/3)) 3))
0.6b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
✓0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
✓45.8b
(*.f64 (sqrt.f64 x) -3)
▶25.6b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
42.4b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
✓20.7b
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
46.0b
(/.f64 (*.f64 (sqrt.f64 x) 9) (*.f64 (+.f64 y 1) -3))
21.3b
(*.f64 3 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))) 3))
0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 (/.f64 1 x) 1/9)) 1))
✓25.7b
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
▶20.7b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
20.7b
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 1/9 x) 3) -3))
✓20.7b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
39.0b
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
▶0.4b
(*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
36.4b
(*.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (*.f64 (sqrt.f64 x) (/.f64 -1/3 (+.f64 y 1))))
▶20.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
42.4b
(*.f64 y (*.f64 (sqrt.f64 x) 3))
20.7b
(*.f64 3 (*.f64 (-.f64 (/.f64 1 (/.f64 x 1/9)) 1) (sqrt.f64 x)))
Compiler

Compiled 482 to 392 computations (18.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 38 to 25 computations (34.2% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite80.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
866×prod-diff_binary64
586×log-prod_binary64
356×fma-def_binary64
229×expm1-udef_binary64
229×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
126728
2360328
Stop Event
1×node limit
Counts
2 → 108
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
(+.f64 (/.f64 1/9 x) (+.f64 y -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 y -1) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y -1) (*.f64 3 (sqrt.f64 x))) (*.f64 (/.f64 1/9 x) (*.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)) (/.f64 1/9 x)) (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 y -1)) (*.f64 (*.f64 3 (sqrt.f64 x)) (/.f64 1/9 x)))))) (#(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 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x)) (pow.f64 (+.f64 y -1) 2)) (*.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 1/9 x) 3) (pow.f64 (+.f64 y -1) 3))) (fma.f64 (+.f64 y -1) (-.f64 (+.f64 y -1) (/.f64 1/9 x)) (/.f64 1/81 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/81 (*.f64 x x)) (pow.f64 (+.f64 y -1) 2))) (-.f64 (/.f64 1/9 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))) 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simplify248.0ms (2.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
019441
143396
292375
3210375
4442375
5853375
61235375
72087375
83597375
94492375
104862375
115207375
125376375
135376375
146432375
156545375
166545375
176545375
186545375
Stop Event
1×saturated
Counts
144 → 122
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 (+.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)
(-.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)
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 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))
(*.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 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))
(*.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 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))
(*.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 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))
(*.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 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))
(*.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 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))
(*.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 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))
(*.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 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))
(*.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 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))
(*.f64 (sqrt.f64 x) (+.f64 -3 (fma.f64 3 y (/.f64 1/3 x))))
(/.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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -1) y)
(-.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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -1) y)
(-.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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -1) y)
(-.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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -1) y)
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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -1) y)
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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -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 (/.f64 1/9 x) -1) y)

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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite58.0ms (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))))))))

simplify12.0ms (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))

localize66.0ms (0.8%)

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

rewrite89.0ms (1%)

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)))))

simplify10.0ms (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 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
✓0.3b
(pow.f64 (*.f64 x 9) 3/2)
0.4b
(/.f64 -1/9 x)
✓19.9b
(cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))
Compiler

Compiled 51 to 38 computations (25.5% saved)

series55.0ms (0.6%)

Counts
3 → 24
Calls

12 calls:

TimeVariablePointExpression
30.0ms
x
@0
(pow.f64 (*.f64 x 9) 3/2)
14.0ms
x
@-inf
(pow.f64 (*.f64 x 9) 3/2)
7.0ms
x
@inf
(pow.f64 (*.f64 x 9) 3/2)
1.0ms
x
@0
(cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))

rewrite84.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
639×log-prod_binary64
598×prod-diff_binary64
343×fma-def_binary64
253×expm1-udef_binary64
253×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01437
131431
2400331
Stop Event
1×node limit
Counts
3 → 80
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 x) 3))) (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 x) 3))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (*.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 (sqrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) 3)) (sqrt.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 3/2)) (cbrt.f64 (pow.f64 9 3/2)))))) (#(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 1 1/3) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3/2) 1/3) (pow.f64 (pow.f64 9 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x 9) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 x 9) 3/4) 1/3))))) (#(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 x 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) 3) 1)))) (#(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 (sqrt.f64 (*.f64 (sqrt.f64 x) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 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 (pow.f64 (*.f64 x 9) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) 3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 9) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 9) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 9) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x 9) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x 9) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x 9) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 9 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 3/4) (pow.f64 (*.f64 x 9) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (*.f64 x 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 x 9)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 x) 3) 3/2) (pow.f64 (*.f64 (sqrt.f64 x) 3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 9) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 9) (sqrt.f64 (*.f64 (sqrt.f64 x) 3))) (sqrt.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 9) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 9) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 9) 3/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (+.f64 y (/.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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 y (/.f64 1/9 x)) -1)) (*.f64 (sqrt.f64 x) 3))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 y (/.f64 1/9 x)) -1)) (*.f64 (sqrt.f64 x) 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 y (/.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 (+.f64 y (/.f64 1/9 x)) -1)) (*.f64 (sqrt.f64 x) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 y (/.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 (+.f64 y (/.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 (+.f64 y (/.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 y (/.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 y (/.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 y (/.f64 1/9 x)) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 (+.f64 y (/.f64 1/9 x)) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 y (/.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 (+.f64 y (/.f64 1/9 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (+.f64 y (/.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 y (/.f64 1/9 x)) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 y (/.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 y (/.f64 1/9 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (+.f64 y (/.f64 1/9 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (+.f64 y (/.f64 1/9 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (+.f64 y (/.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)))))))

simplify72.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
700×fma-def_binary64
624×fma-neg_binary64
601×div-sub_binary64
425×times-frac_binary64
255×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036396
192351
2222294
3497258
41124258
52674258
66461258
Stop Event
1×node limit
Counts
104 → 90
Calls
Call 1
Inputs
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 9) (log.f64 x))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 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))))
Outputs
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 9) (log.f64 x))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 9))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 9) (log.f64 x)))
(*.f64 (pow.f64 9 3/2) (pow.f64 x 3/2))
(pow.f64 (*.f64 x 9) 3/2)
(pow.f64 (/.f64 1/9 x) -3/2)
(*.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 3 (*.f64 (+.f64 -1 (/.f64 1/9 x)) (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 -1 (/.f64 1/9 x)) 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) 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 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 -1 (/.f64 1/9 x)) 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) 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 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 -1 (/.f64 1/9 x)) 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) 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 (-.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 -1 (/.f64 1/9 x)) 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) 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 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 -1 (/.f64 1/9 x)) 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) 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 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 -1 (/.f64 1/9 x)) 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) 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 (-.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 -1 (/.f64 1/9 x)) 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) 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 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 -1 (/.f64 1/9 x)) 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) 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 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)))
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (+.f64 -1 (/.f64 1/9 x)) 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 (sqrt.f64 x) (fma.f64 3 (+.f64 (/.f64 1/9 x) y) -3))

eval175.0ms (2%)

Compiler

Compiled 7536 to 5588 computations (25.8% saved)

prune154.0ms (1.8%)

Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New4708478
Fresh4812
Picked101
Done01010
Total47526501
Error
0b
Counts
501 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
20.7b
(*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
✓42.4b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
45.8b
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
0.4b
(*.f64 (-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1) (*.f64 3 (sqrt.f64 x)))
✓61.9b
(sqrt.f64 (*.f64 x 9))
20.8b
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1 (/.f64 x 1/3)) 3))
39.0b
(*.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))
61.9b
(*.f64 (sqrt.f64 x) 3)
✓0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
36.4b
(*.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (*.f64 (sqrt.f64 x) (/.f64 -1/3 (+.f64 y 1))))
39.0b
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
42.4b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
✓45.8b
(*.f64 (sqrt.f64 x) -3)
✓25.6b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
✓20.7b
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
46.0b
(/.f64 (*.f64 (sqrt.f64 x) 9) (*.f64 (+.f64 y 1) -3))
21.3b
(*.f64 3 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))) 3))
42.4b
(*.f64 y (*.f64 (sqrt.f64 x) 3))
25.8b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 y 1))
✓20.7b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
39.0b
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
✓0.4b
(*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
✓25.7b
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
✓20.7b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
20.7b
(*.f64 3 (*.f64 (-.f64 (/.f64 1 (/.f64 x 1/9)) 1) (sqrt.f64 x)))
35.1b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 y 1))
Compiler

Compiled 286 to 233 computations (18.5% saved)

regimes111.0ms (1.3%)

Counts
50 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1 (/.f64 x 1/3)) 3))
(/.f64 (*.f64 (sqrt.f64 x) 9) (*.f64 (+.f64 y 1) -3))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 1/9 x) 3) -3))
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
(*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 3 (*.f64 (-.f64 (/.f64 1 (/.f64 x 1/9)) 1) (sqrt.f64 x)))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 (-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1) (*.f64 3 (sqrt.f64 x)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 (/.f64 1 x) 1/9)) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(/.f64 (*.f64 (-.f64 9 (*.f64 y (*.f64 9 y))) (sqrt.f64 x)) (*.f64 (+.f64 y 1) -3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 y 1))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 (fma.f64 (*.f64 9 y) (neg.f64 y) 9) (*.f64 (sqrt.f64 x) (/.f64 -1/3 (+.f64 y 1))))
(*.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 (*.f64 (-.f64 -27 (*.f64 (pow.f64 y 3) -27)) (sqrt.f64 x)) (+.f64 9 (+.f64 (*.f64 y (*.f64 9 y)) (*.f64 9 y))))
(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -3 (*.f64 y 3))) 3))
(*.f64 3 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/9 x) -1) (sqrt.f64 x))) 3))
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 3)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(fma.f64 (sqrt.f64 x) -3 (*.f64 (sqrt.f64 x) (neg.f64 (fma.f64 -3 y (/.f64 -1/3 x)))))
(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x)))) 3))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
Calls

3 calls:

31.0ms
x
31.0ms
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
30.0ms
y
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 570 to 406 computations (28.8% saved)

regimes41.0ms (0.5%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1 (/.f64 x 1/3)) 3))
(/.f64 (*.f64 (sqrt.f64 x) 9) (*.f64 (+.f64 y 1) -3))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 1/9 x) 3) -3))
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
(*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 3 (*.f64 (-.f64 (/.f64 1 (/.f64 x 1/9)) 1) (sqrt.f64 x)))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 (-.f64 (+.f64 y (*.f64 1/9 (/.f64 1 x))) 1) (*.f64 3 (sqrt.f64 x)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 (/.f64 1 x) 1/9)) 1))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
Calls

2 calls:

17.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
Compiler

Compiled 264 to 178 computations (32.6% saved)

regimes37.0ms (0.4%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1 (/.f64 x 1/3)) 3))
(/.f64 (*.f64 (sqrt.f64 x) 9) (*.f64 (+.f64 y 1) -3))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 1/9 x) 3) -3))
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
(*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
Outputs
(*.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
Calls

2 calls:

15.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
0.4b1y
Compiler

Compiled 188 to 123 computations (34.6% saved)

regimes75.0ms (0.9%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (sqrt.f64 x) (-.f64 (/.f64 1 (/.f64 x 1/3)) 3))
(/.f64 (*.f64 (sqrt.f64 x) 9) (*.f64 (+.f64 y 1) -3))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 1/9 x) 3) -3))
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/3 (/.f64 1 x)) 3))
Outputs
(*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
Calls

2 calls:

45.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
9.1b2x
9.2b3y
Compiler

Compiled 176 to 115 computations (34.7% saved)

bsearch25.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
1.8043062806015482e-9
0.0002523226826433672
Compiler

Compiled 21 to 17 computations (19% saved)

regimes65.0ms (0.8%)

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

2 calls:

40.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
9.1b2x
9.2b3y
Compiler

Compiled 146 to 94 computations (35.6% saved)

bsearch25.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
25.0ms
1.8043062806015482e-9
0.0002523226826433672
Compiler

Compiled 21 to 17 computations (19% saved)

regimes73.0ms (0.9%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
Outputs
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
Calls

2 calls:

54.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
9.3b2x
21.4b7y
Compiler

Compiled 92 to 57 computations (38% saved)

bsearch24.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
1.8043062806015482e-9
0.0002523226826433672
Compiler

Compiled 21 to 17 computations (19% saved)

regimes114.0ms (1.3%)

Counts
13 → 8
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 y (*.f64 (sqrt.f64 x) 3))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 1/9 x) (*.f64 3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (/.f64 1/9 x))
Outputs
(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) -3)
Calls

2 calls:

55.0ms
x
53.0ms
y
Results
ErrorSegmentsBranch
18.6b8x
21.5b7y
Compiler

Compiled 84 to 51 computations (39.3% saved)

bsearch297.0ms (3.5%)

Algorithm
7×binary-search
Steps
TimeLeftRight
99.0ms
2.6228045009088102e+259
1.37462271804319e+270
77.0ms
1.445627647023048e+236
1.1912752209811289e+237
22.0ms
1.4203970742631745e+154
9.762813913569251e+154
24.0ms
9.198338186339099e+107
1.0617727890083391e+110
24.0ms
1.409444356933836e+54
1.728124566176704e+55
26.0ms
0.10567307175299845
2827.847986062025
24.0ms
1.8043062806015482e-9
0.0002523226826433672
Compiler

Compiled 305 to 251 computations (17.7% saved)

regimes84.0ms (1%)

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

2 calls:

42.0ms
y
40.0ms
x
Results
ErrorSegmentsBranch
18.6b8x
21.5b7y
Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch298.0ms (3.5%)

Algorithm
7×binary-search
Steps
TimeLeftRight
102.0ms
2.6228045009088102e+259
1.37462271804319e+270
77.0ms
1.445627647023048e+236
1.1912752209811289e+237
23.0ms
1.4203970742631745e+154
9.762813913569251e+154
24.0ms
9.198338186339099e+107
1.0617727890083391e+110
24.0ms
1.409444356933836e+54
1.728124566176704e+55
25.0ms
0.10567307175299845
2827.847986062025
24.0ms
1.8043062806015482e-9
0.0002523226826433672
Compiler

Compiled 305 to 251 computations (17.7% saved)

regimes49.0ms (0.6%)

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

32.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
34.8b7x
26.1b3y
Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch85.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
47.0ms
6.137503798755382e-17
28.042789990179518
37.0ms
-99137172183687440.0
-0.035803670223094615
Compiler

Compiled 21 to 17 computations (19% saved)

regimes12.0ms (0.1%)

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

2 calls:

6.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
45.8b1x
45.8b1y
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes10.0ms (0.1%)

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

2 calls:

5.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
45.8b1x
45.8b1y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes8.0ms (0.1%)

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:

3.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
61.9b1x
61.9b1y
Compiler

Compiled 16 to 12 computations (25% saved)

simplify40.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
21×*-commutative_binary64
13×+-commutative_binary64
11×sub-neg_binary64
6×neg-sub0_binary64
5×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080423
1109417
2123417
3134417
4144417
5149417
6152417
7153417
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 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 1949324110110308352/18446744073709551616) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 x 1409444356933835974725252917338767006341811508231536640) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 919833818633909934684285857890247272416813743615830391617702854153692103088408401002579256999938039841030144) (*.f64 3 (*.f64 (sqrt.f64 x) y)) (if (<=.f64 x 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 (sqrt.f64 x) -3) (if (<=.f64 x 1160000000000000039080471139019452905707061033091408806098577571684471219118675762071469854906931370199992347128411427132519327649742251224301254164819239268684679058195201076113802347454759690242257218947752954006444608115485417100279808) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 26499999999999999478116129643513230058787238741220377079388713648886948776048578440480104353241212573314886067387329177576001457122407391348262509287248372051693962727117817443848851456115200658904671604675025606128501388962013575403769831609728117316834557952) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (*.f64 (sqrt.f64 x) -3))))))))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 1949324110110308352/18446744073709551616) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 x 1409444356933835974725252917338767006341811508231536640) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 919833818633909934684285857890247272416813743615830391617702854153692103088408401002579256999938039841030144) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 x 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 (sqrt.f64 x) -3) (if (<=.f64 x 1160000000000000039080471139019452905707061033091408806098577571684471219118675762071469854906931370199992347128411427132519327649742251224301254164819239268684679058195201076113802347454759690242257218947752954006444608115485417100279808) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 26499999999999999478116129643513230058787238741220377079388713648886948776048578440480104353241212573314886067387329177576001457122407391348262509287248372051693962727117817443848851456115200658904671604675025606128501388962013575403769831609728117316834557952) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (*.f64 (sqrt.f64 x) -3))))))))
(if (<=.f64 y -99137172183687440) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 y 4979334639612991/81129638414606681695789005144064) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(*.f64 (sqrt.f64 (*.f64 x 9)) -1)
(*.f64 (sqrt.f64 x) -3)
(*.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 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) (*.f64 3 (sqrt.f64 x)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 3 (*.f64 (-.f64 (/.f64 1/9 x) 1) (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x))) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (+.f64 -3 (/.f64 1/3 x))) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 1949324110110308352/18446744073709551616) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 x 1409444356933835974725252917338767006341811508231536640) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 919833818633909934684285857890247272416813743615830391617702854153692103088408401002579256999938039841030144) (*.f64 3 (*.f64 (sqrt.f64 x) y)) (if (<=.f64 x 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 (sqrt.f64 x) -3) (if (<=.f64 x 1160000000000000039080471139019452905707061033091408806098577571684471219118675762071469854906931370199992347128411427132519327649742251224301254164819239268684679058195201076113802347454759690242257218947752954006444608115485417100279808) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 26499999999999999478116129643513230058787238741220377079388713648886948776048578440480104353241212573314886067387329177576001457122407391348262509287248372051693962727117817443848851456115200658904671604675025606128501388962013575403769831609728117316834557952) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (*.f64 (sqrt.f64 x) -3))))))))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 951818413139799/9007199254740992) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 x 1409444356933835974725252917338767006341811508231536640) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 919833818633909934684285857890247272416813743615830391617702854153692103088408401002579256999938039841030144) (*.f64 3 (*.f64 y (sqrt.f64 x))) (if (<=.f64 x 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 (sqrt.f64 x) -3) (if (<=.f64 x 1160000000000000039080471139019452905707061033091408806098577571684471219118675762071469854906931370199992347128411427132519327649742251224301254164819239268684679058195201076113802347454759690242257218947752954006444608115485417100279808) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 26499999999999999478116129643513230058787238741220377079388713648886948776048578440480104353241212573314886067387329177576001457122407391348262509287248372051693962727117817443848851456115200658904671604675025606128501388962013575403769831609728117316834557952) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (*.f64 (sqrt.f64 x) -3))))))))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 951818413139799/9007199254740992) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 x 1409444356933835974725252917338767006341811508231536640) (neg.f64 (sqrt.f64 (*.f64 x 9))) (if (<=.f64 x 919833818633909934684285857890247272416813743615830391617702854153692103088408401002579256999938039841030144) (*.f64 3 (*.f64 y (sqrt.f64 x))) (if (<=.f64 x 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 (sqrt.f64 x) -3) (if (<=.f64 x 1160000000000000039080471139019452905707061033091408806098577571684471219118675762071469854906931370199992347128411427132519327649742251224301254164819239268684679058195201076113802347454759690242257218947752954006444608115485417100279808) (neg.f64 (sqrt.f64 (*.f64 x 9))) (if (<=.f64 x 26499999999999999478116129643513230058787238741220377079388713648886948776048578440480104353241212573314886067387329177576001457122407391348262509287248372051693962727117817443848851456115200658904671604675025606128501388962013575403769831609728117316834557952) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (*.f64 (sqrt.f64 x) -3))))))))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 1949324110110308352/18446744073709551616) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 x 1409444356933835974725252917338767006341811508231536640) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 919833818633909934684285857890247272416813743615830391617702854153692103088408401002579256999938039841030144) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 x 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 (sqrt.f64 x) -3) (if (<=.f64 x 1160000000000000039080471139019452905707061033091408806098577571684471219118675762071469854906931370199992347128411427132519327649742251224301254164819239268684679058195201076113802347454759690242257218947752954006444608115485417100279808) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 26499999999999999478116129643513230058787238741220377079388713648886948776048578440480104353241212573314886067387329177576001457122407391348262509287248372051693962727117817443848851456115200658904671604675025606128501388962013575403769831609728117316834557952) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (*.f64 (sqrt.f64 x) -3))))))))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 951818413139799/9007199254740992) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 x 1409444356933835974725252917338767006341811508231536640) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 919833818633909934684285857890247272416813743615830391617702854153692103088408401002579256999938039841030144) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 x 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 (sqrt.f64 x) -3) (if (<=.f64 x 1160000000000000039080471139019452905707061033091408806098577571684471219118675762071469854906931370199992347128411427132519327649742251224301254164819239268684679058195201076113802347454759690242257218947752954006444608115485417100279808) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (if (<=.f64 x 26499999999999999478116129643513230058787238741220377079388713648886948776048578440480104353241212573314886067387329177576001457122407391348262509287248372051693962727117817443848851456115200658904671604675025606128501388962013575403769831609728117316834557952) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (*.f64 (sqrt.f64 x) -3))))))))
(if (<=.f64 x 8725089796448199/4835703278458516698824704) (*.f64 (sqrt.f64 x) (/.f64 1/3 x)) (if (<=.f64 x 951818413139799/9007199254740992) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 x 1409444356933835974725252917338767006341811508231536640) (neg.f64 (sqrt.f64 (*.f64 x 9))) (if (<=.f64 x 919833818633909934684285857890247272416813743615830391617702854153692103088408401002579256999938039841030144) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 x 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 (sqrt.f64 x) -3) (if (<=.f64 x 1160000000000000039080471139019452905707061033091408806098577571684471219118675762071469854906931370199992347128411427132519327649742251224301254164819239268684679058195201076113802347454759690242257218947752954006444608115485417100279808) (neg.f64 (sqrt.f64 (*.f64 x 9))) (if (<=.f64 x 26499999999999999478116129643513230058787238741220377079388713648886948776048578440480104353241212573314886067387329177576001457122407391348262509287248372051693962727117817443848851456115200658904671604675025606128501388962013575403769831609728117316834557952) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (*.f64 (sqrt.f64 x) -3))))))))
(if (<=.f64 y -99137172183687440) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 y 4979334639612991/81129638414606681695789005144064) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(if (<=.f64 y -99137172183687440) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 y 4979334639612991/81129638414606681695789005144064) (*.f64 (sqrt.f64 (*.f64 x 9)) -1) (*.f64 (sqrt.f64 x) (*.f64 y 3))))
(if (<=.f64 y -99137172183687440) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 y 4979334639612991/81129638414606681695789005144064) (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 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) 3)
(*.f64 3 (sqrt.f64 x))
Compiler

Compiled 300 to 217 computations (27.7% saved)

soundness0.0ms (0%)

end163.0ms (1.9%)

Compiler

Compiled 278 to 187 computations (32.7% saved)

Profiling

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