Details

Time bar (total: 9.8s)

analyze53.0ms (0.5%)

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)

sample1.7s (17%)

Results
1.3s8256×body256valid
313.0ms421×body256invalid

preprocess72.0ms (0.7%)

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)

simplify244.0ms (2.5%)

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 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
▶0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
Compiler

Compiled 29 to 23 computations (20.7% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓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)

series12.0ms (0.1%)

Counts
3 → 36
Calls

15 calls:

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

rewrite79.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify98.0ms (1%)

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

Useful iterations: 2 (0.0ms)

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 51 to 36 computations (29.4% saved)

series14.0ms (0.1%)

Counts
4 → 48
Calls

18 calls:

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

rewrite113.0ms (1.1%)

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
2374535
Stop Event
1×node limit
Counts
4 → 135
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x 9))
(*.f64 3 (sqrt.f64 x))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(+.f64 y (/.f64 1 (*.f64 x 9)))
Outputs
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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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egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/9 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/9 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/9 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/9 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1/9 x) (+.f64 y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/9 x) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/9 x)) (sqrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (*.f64 x -9)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/9 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1)))) (cbrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) (sqrt.f64 (+.f64 (/.f64 1/9 x) (+.f64 y 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 (/.f64 1 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 x x) 81))) (cbrt.f64 (/.f64 1/9 x)) y)))))

simplify269.0ms (2.7%)

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))

eval190.0ms (1.9%)

Compiler

Compiled 4595 to 3279 computations (28.6% saved)

prune119.0ms (1.2%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New25317270
Fresh000
Picked011
Done011
Total25319272
Error
0.0b
Counts
272 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶43.3b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
27.7b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x 9) -2) (*.f64 y y)) (-.f64 (/.f64 1/9 x) y)) 1))
50.9b
(sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2)))
✓0.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
▶0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
29.9b
(/.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))
✓0.4b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
43.3b
(*.f64 y (*.f64 3 (sqrt.f64 x)))
19.8b
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
0.4b
(+.f64 (*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
▶0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶0.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))))
0.7b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
29.0b
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
0.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
▶29.0b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
26.1b
(pow.f64 (sqrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 2)
19.8b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
19.8b
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
Compiler

Compiled 537 to 429 computations (20.1% saved)

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 48 to 36 computations (25% saved)

series9.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

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

rewrite88.0ms (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))))))

simplify212.0ms (2.2%)

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))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite56.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114115
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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 14 computations (39.1% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite53.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

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))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 40 to 26 computations (35% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
1.0ms
x
@0
(/.f64 -1/9 x)
0.0ms
x
@-inf
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.0ms
x
@inf
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.0ms
y
@-inf
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))

rewrite89.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
126729
2350929
Stop Event
1×node limit
Counts
3 → 183
Calls
Call 1
Inputs
(/.f64 -1/9 x)
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(-.f64 y (/.f64 -1/9 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -1/9 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/9 x)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/9 x)) (sqrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/729 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x -9) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1/729 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -1/9 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/9 x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 -1/9 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -1/9 x) 1)) (sqrt.f64 (+.f64 (/.f64 -1/9 x) 1)) -1)))))
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#<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (/.f64 1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) 1 (fma.f64 (neg.f64 (pow.f64 x -1)) -1/9 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) 1 (fma.f64 (/.f64 1/9 x) 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/9 x))) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y (/.f64 1/9 x)) 1 (+.f64 (/.f64 1/9 x) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (/.f64 1/9 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (/.f64 1/9 x)) (fma.f64 (neg.f64 (pow.f64 x -1)) -1/9 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (/.f64 1/9 x)) (fma.f64 (/.f64 1/9 x) 1 (/.f64 -1/9 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(sqrt.f64 (/.f64 -1/9 x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (fma.f64 (/.f64 1/9 x) 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/9 x))) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/9 x))) (+.f64 (/.f64 1/9 x) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2)) (cbrt.f64 (/.f64 -1/9 x)) y)))))

simplify224.0ms (2.3%)

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

Useful iterations: 2 (0.0ms)

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 47 to 34 computations (27.7% saved)

series8.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite77.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify105.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

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

eval213.0ms (2.2%)

Compiler

Compiled 9647 to 6899 computations (28.5% saved)

prune188.0ms (1.9%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New53315548
Fresh10212
Picked101
Done336
Total54720567
Error
0.0b
Counts
567 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓43.3b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
▶21.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.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))))
43.3b
(*.f64 y (*.f64 3 (sqrt.f64 x)))
43.3b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
0.6b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
50.9b
(sqrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2) (*.f64 x 9)))
0.4b
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))
19.8b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
▶29.0b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
19.8b
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
▶48.1b
(*.f64 -3 (sqrt.f64 x))
26.1b
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)
29.9b
(/.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))
19.8b
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
27.7b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y)) 1))
19.8b
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
▶0.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
Compiler

Compiled 525 to 421 computations (19.8% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 41 to 29 computations (29.3% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite88.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify234.0ms (2.4%)

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

Useful iterations: 2 (0.0ms)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 6 computations (40% saved)

series4.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite123.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11006
210936
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 -3 (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27 (pow.f64 x 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -27 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -3 (sqrt.f64 x))))))))

simplify13.0ms (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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series3.0ms (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))
0.0ms
y
@0
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
0.0ms
y
@-inf
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))

rewrite113.0ms (1.1%)

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))))))))

simplify11.0ms (0.1%)

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

Useful iterations: 2 (0.0ms)

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

localize38.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 42 to 29 computations (31% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite71.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

simplify106.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

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

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
✓0.3b
(pow.f64 (*.f64 x 9) 3/2)
0.3b
(/.f64 1 (*.f64 x 9))
✓20.9b
(cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))
Compiler

Compiled 58 to 45 computations (22.4% saved)

series53.0ms (0.5%)

Counts
3 → 24
Calls

12 calls:

TimeVariablePointExpression
31.0ms
x
@0
(pow.f64 (*.f64 x 9) 3/2)
11.0ms
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))
1.0ms
x
@inf
(cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))

rewrite117.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
620×prod-diff_binary64
606×log-prod_binary64
355×fma-def_binary64
232×log1p-udef_binary64
231×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01340
129131
2383131
Stop Event
1×node limit
Counts
3 → 84
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 (*.f64 x 9))) 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 (*.f64 3/2 (log.f64 (*.f64 x 9))) 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 (*.f64 3/2 (log.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 x 9))) 1))))))
((#(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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 y (+.f64 (/.f64 1/9 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1) (*.f64 (sqrt.f64 x) 3)) (+.f64 y (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 3) -1)) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) (+.f64 y (+.f64 (/.f64 1/9 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (pow.f64 (+.f64 y (/.f64 1/9 x)) 2) -1)) (+.f64 y (+.f64 (/.f64 1/9 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1))) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) 3/2) (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 3) (pow.f64 (*.f64 x 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) 3) 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)))))))

simplify68.0ms (0.7%)

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
108 → 94
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))

eval239.0ms (2.4%)

Compiler

Compiled 9659 to 7142 computations (26.1% saved)

prune110.0ms (1.1%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New52712539
Fresh7512
Picked101
Done077
Total53524559
Error
0.0b
Counts
559 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.7b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y)) 1))
19.8b
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
✓0.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
26.1b
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)
✓43.3b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
✓0.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
29.2b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 y 1))
50.9b
(sqrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2) (*.f64 x 9)))
▶0.4b
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))
0.6b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
53.6b
(cbrt.f64 (*.f64 -27 (pow.f64 x 3/2)))
19.8b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
✓29.0b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
✓48.1b
(*.f64 -3 (sqrt.f64 x))
19.8b
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
▶21.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
29.9b
(/.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))
19.8b
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
43.3b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
▶19.8b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
43.3b
(*.f64 y (*.f64 3 (sqrt.f64 x)))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
▶61.9b
(sqrt.f64 (*.f64 x 9))
Compiler

Compiled 547 to 440 computations (19.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 61 to 42 computations (31.1% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
1.0ms
x
@inf
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
1.0ms
x
@-inf
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))
0.0ms
x
@0
(*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))
0.0ms
x
@inf
(*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1))))

rewrite97.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify269.0ms (2.7%)

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

Useful iterations: 2 (0.0ms)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 8 computations (27.3% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
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)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite58.0ms (0.6%)

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
01015
121615
2257715
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.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))))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 3 (sqrt.f64 x))
0.4b
(/.f64 -1/9 x)
✓2.6b
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
✓29.5b
(/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y))
Compiler

Compiled 96 to 49 computations (49% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite158.0ms (1.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01235
128631
2432031
Stop Event
1×node limit
Counts
2 → 162
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y))
(-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y y) (+.f64 y (/.f64 -1/9 x))) (neg.f64 (*.f64 1/81 (/.f64 (pow.f64 x -2) (+.f64 y (/.f64 -1/9 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 -1/81 (pow.f64 x -2) (*.f64 y y)) (+.f64 y (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/81 (pow.f64 x -2) (*.f64 y y)) (+.f64 y (/.f64 -1/9 x))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/81 (pow.f64 x -2) (*.f64 y y)) (+.f64 y (/.f64 -1/9 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/81 (pow.f64 x -2) (*.f64 y y)) (+.f64 y (/.f64 -1/9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/81 (pow.f64 x -2) (*.f64 y y)) (+.f64 y (/.f64 -1/9 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/81 (pow.f64 x -2) (*.f64 y y)) (+.f64 y (/.f64 -1/9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (+.f64 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x) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 -1/9 x)) (/.f64 -1/9 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/6561 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (/.f64 -1/9 x) 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 -1/81 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 -1/81 (pow.f64 x -2)) 1))))))

simplify78.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

localize56.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.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)
20.9b
(cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))
Compiler

Compiled 51 to 38 computations (25.5% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
1.0ms
x
@0
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
1.0ms
x
@inf
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.0ms
y
@-inf
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
0.0ms
y
@0
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))

rewrite195.0ms (2%)

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
01421
131418
2400318
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.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 (*.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)))))))

simplify235.0ms (2.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
015240
136195
280174
3195174
4410174
5817174
61183174
71923174
83403174
94485174
104924174
115483174
125484174
135484174
146294174
156294174
166294174
176294174
Stop Event
1×saturated
Counts
38 → 32
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))))

eval688.0ms (7%)

Compiler

Compiled 14149 to 9988 computations (29.4% saved)

prune218.0ms (2.2%)

Pruning

27 alts after pruning (18 fresh and 9 done)

PrunedKeptTotal
New63411645
Fresh5712
Picked101
Done2911
Total64227669
Error
0.0b
Counts
669 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
19.8b
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
52.9b
(sqrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2) (*.f64 x 9)))
35.7b
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1))) 2)
43.3b
(*.f64 (sqrt.f64 x) (*.f64 3 y))
✓0.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
19.8b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1))
19.8b
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
✓0.4b
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (/.f64 -1/3 x))))
✓43.3b
(*.f64 3 (*.f64 (sqrt.f64 x) y))
19.9b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (/.f64 1/9 x) 1))
35.2b
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
29.2b
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 y 1))
61.9b
(*.f64 (sqrt.f64 x) 3)
✓19.8b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
38.3b
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (*.f64 y y) (+.f64 (/.f64 -1/9 x) y)) 1))
43.3b
(*.f64 y (*.f64 3 (sqrt.f64 x)))
36.9b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (/.f64 1/9 x) 1))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
19.8b
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
53.6b
(cbrt.f64 (*.f64 -27 (pow.f64 x 3/2)))
✓29.0b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
✓48.1b
(*.f64 -3 (sqrt.f64 x))
29.9b
(/.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))
19.8b
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
29.0b
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (-.f64 y 1))))
✓61.9b
(sqrt.f64 (*.f64 x 9))
✓0.3b
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
Compiler

Compiled 328 to 268 computations (18.3% saved)

regimes197.0ms (2%)

Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (-.f64 y 1))))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (*.f64 y y) (+.f64 (/.f64 -1/9 x) y)) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 1/81 (*.f64 x x))) (+.f64 (/.f64 -1/9 x) y)) 1))
(cbrt.f64 (*.f64 -27 (pow.f64 x 3/2)))
(*.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))))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/9 x) -1) 2) (*.f64 x 9)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 9) 3/2)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 (/.f64 1/9 x) -1)) 2) (*.f64 x 9)))
(sqrt.f64 (*.f64 (*.f64 x 9) (pow.f64 (+.f64 (/.f64 1/9 x) (+.f64 y -1)) 2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2) (-.f64 (-.f64 y (/.f64 -1/9 x)) 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 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x))) (*.f64 3 (*.f64 y (sqrt.f64 x))))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x 9) -2) (*.f64 y y)) (-.f64 (/.f64 1/9 x) y)) 1))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 (/.f64 1/9 x) -1))) 2)
(*.f64 (sqrt.f64 x) (-.f64 -3 (fma.f64 y -3 (pow.f64 (*.f64 x -3) -1))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) 3) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))) 2)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(/.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))))
(/.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))))
(/.f64 (*.f64 (-.f64 9 (pow.f64 (fma.f64 -3 y (/.f64 -1/3 x)) 2)) (sqrt.f64 x)) (+.f64 -3 (fma.f64 -3 y (/.f64 -1/3 x))))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
Calls

3 calls:

51.0ms
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
50.0ms
x
50.0ms
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 722 to 523 computations (27.6% saved)

regimes67.0ms (0.7%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (-.f64 y 1))))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 -1 (*.f64 (-.f64 3 (*.f64 1/3 (/.f64 1 x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (-.f64 -3 (+.f64 (/.f64 -1/3 x) (*.f64 -3 y))))
(*.f64 3 (*.f64 (-.f64 (*.f64 1/9 (/.f64 1 x)) 1) (sqrt.f64 x)))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (+.f64 y (+.f64 (/.f64 1/9 x) -1)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
Calls

2 calls:

30.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
Compiler

Compiled 290 to 202 computations (30.3% saved)

regimes87.0ms (0.9%)

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

2 calls:

40.0ms
x
35.0ms
y
Results
ErrorSegmentsBranch
7.3b4x
5.4b3y
Compiler

Compiled 180 to 123 computations (31.7% saved)

bsearch54.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
8.335925236242618e+56
8.313952672481447e+67
24.0ms
-1.7412464645873633e-7
-8.723769675362031e-10
Compiler

Compiled 21 to 17 computations (19% saved)

regimes125.0ms (1.3%)

Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (-.f64 y 1))))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 (/.f64 1/9 x) 1))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
Calls

2 calls:

69.0ms
x
50.0ms
y
Results
ErrorSegmentsBranch
7.3b4x
5.4b3y
Compiler

Compiled 144 to 95 computations (34% saved)

bsearch79.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
8.335925236242618e+56
8.313952672481447e+67
39.0ms
-1.7412464645873633e-7
-8.723769675362031e-10
Compiler

Compiled 21 to 17 computations (19% saved)

regimes187.0ms (1.9%)

Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (-.f64 y 1))))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
Calls

2 calls:

100.0ms
x
49.0ms
y
Results
ErrorSegmentsBranch
7.3b4x
5.4b3y
Compiler

Compiled 124 to 80 computations (35.5% saved)

bsearch115.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
50.0ms
8.335925236242618e+56
8.313952672481447e+67
65.0ms
-1.7412464645873633e-7
-8.723769675362031e-10
Compiler

Compiled 21 to 17 computations (19% saved)

regimes92.0ms (0.9%)

Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 3 (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (*.f64 y -3)))
(*.f64 (*.f64 3 (sqrt.f64 x)) (-.f64 y 1))
(*.f64 (sqrt.f64 x) (-.f64 -3 (/.f64 -1/3 x)))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (/.f64 1/9 x))))
(*.f64 (*.f64 (sqrt.f64 x) 3) (-.f64 (/.f64 1/9 x) 1))
(+.f64 0 (*.f64 3 (*.f64 (sqrt.f64 x) (-.f64 y 1))))
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1))
(*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x))
(*.f64 y (*.f64 3 (sqrt.f64 x)))
Calls

2 calls:

65.0ms
x
23.0ms
y
Results
ErrorSegmentsBranch
7.3b4x
5.4b3y
Compiler

Compiled 114 to 73 computations (36% saved)

bsearch177.0ms (1.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
154.0ms
8.335925236242618e+56
8.313952672481447e+67
23.0ms
-1.7412464645873633e-7
-8.723769675362031e-10
Compiler

Compiled 21 to 17 computations (19% saved)

regimes53.0ms (0.5%)

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

2 calls:

34.0ms
x
16.0ms
y
Results
ErrorSegmentsBranch
15.9b5x
5.7b3y
Compiler

Compiled 52 to 31 computations (40.4% saved)

bsearch45.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
8.335925236242618e+56
8.313952672481447e+67
22.0ms
-236042072.98498702
-1.7412464645873633e-7
Compiler

Compiled 21 to 17 computations (19% saved)

regimes44.0ms (0.5%)

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

2 calls:

25.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
37.0b4x
29.2b3y
Compiler

Compiled 44 to 26 computations (40.9% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
6.777870681437071e-30
8.807256250287327e-30
23.0ms
-236042072.98498702
-1.7412464645873633e-7
Compiler

Compiled 21 to 17 computations (19% saved)

regimes40.0ms (0.4%)

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

2 calls:

23.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
37.1b4x
29.3b3y
Compiler

Compiled 38 to 23 computations (39.5% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
6.777870681437071e-30
8.807256250287327e-30
23.0ms
-236042072.98498702
-1.7412464645873633e-7
Compiler

Compiled 21 to 17 computations (19% saved)

regimes35.0ms (0.4%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) 3)
(sqrt.f64 (*.f64 x 9))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
Outputs
(*.f64 (sqrt.f64 x) (*.f64 3 y))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3 y))
Calls

2 calls:

21.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
37.1b4x
29.3b3y
Compiler

Compiled 32 to 20 computations (37.5% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
6.777870681437071e-30
8.807256250287327e-30
23.0ms
-236042072.98498702
-1.7412464645873633e-7
Compiler

Compiled 21 to 17 computations (19% saved)

regimes10.0ms (0.1%)

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

2 calls:

5.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
48.1b1x
48.1b1y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (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:

4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
61.9b1x
61.9b1y
Compiler

Compiled 16 to 12 computations (25% saved)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
1×distribute-neg-frac_binary64
1×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067393
198393
2109393
3112393
4113393
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))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 3 (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 3 (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y 604606268221277/89202980794122492566142873090593446023921664) (*.f64 -3 (sqrt.f64 x)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 3 (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y 604606268221277/89202980794122492566142873090593446023921664) (*.f64 -3 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 y 604606268221277/89202980794122492566142873090593446023921664) (*.f64 -3 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) 3)
Outputs
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) -1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (-.f64 y (/.f64 -1/9 x)) 1))
(*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 (-.f64 y (/.f64 -1/9 x)) -1))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (*.f64 (/.f64 1 x) 1/9) 1)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 (*.f64 (/.f64 1 x) 1/9) -1)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 (/.f64 1/9 x) 1)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 (/.f64 1/9 x) -1)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 x)) 3) (sqrt.f64 x)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (sqrt.f64 x) (+.f64 (*.f64 (/.f64 1 x) 1/3) -3)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (-.f64 y 1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -6578243154226105/37778931862957161709568) (*.f64 (sqrt.f64 (*.f64 x 9)) (+.f64 y -1)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 3 (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (+.f64 (/.f64 1/3 x) -3) (sqrt.f64 x)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 3 (*.f64 y (sqrt.f64 x))) (if (<=.f64 y 833592523624261834935774549869419623904984191939832184832) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/3 x) -3)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 3 (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y 604606268221277/89202980794122492566142873090593446023921664) (*.f64 -3 (sqrt.f64 x)) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 3 (*.f64 y (sqrt.f64 x))) (if (<=.f64 y 604606268221277/89202980794122492566142873090593446023921664) (*.f64 (sqrt.f64 x) -3) (*.f64 y (*.f64 3 (sqrt.f64 x)))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 3 (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y 604606268221277/89202980794122492566142873090593446023921664) (*.f64 -3 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 3 (*.f64 y (sqrt.f64 x))) (if (<=.f64 y 604606268221277/89202980794122492566142873090593446023921664) (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (*.f64 y 3))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 (sqrt.f64 x) (*.f64 3 y)) (if (<=.f64 y 604606268221277/89202980794122492566142873090593446023921664) (*.f64 -3 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 3 y))))
(if (<=.f64 y -990032210889223/4194304) (*.f64 (sqrt.f64 x) (*.f64 y 3)) (if (<=.f64 y 604606268221277/89202980794122492566142873090593446023921664) (*.f64 (sqrt.f64 x) -3) (*.f64 (sqrt.f64 x) (*.f64 y 3))))
(*.f64 -3 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) -3)
(*.f64 (sqrt.f64 x) 3)
(*.f64 3 (sqrt.f64 x))
Compiler

Compiled 286 to 207 computations (27.6% saved)

soundness0.0ms (0%)

end131.0ms (1.3%)

Compiler

Compiled 264 to 174 computations (34.1% saved)

Profiling

Loading profile data...