Details

Time bar (total: 5.5s)

analyze35.0ms (0.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
37.5%62.4%0.1%4
56.2%43.7%0.1%5
65.6%34.3%0.1%6
79.6%20.3%0.1%7
83.5%16.4%0.1%8
90.1%9.8%0.1%9
91.9%8%0.1%10
95.1%4.8%0.1%11
96%4%0.1%12
97.5%2.4%0.1%13
97.9%2%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample857.0ms (15.7%)

Results
556.0ms8256×body128valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify269.0ms (4.9%)

Algorithm
egg-herbie
Rules
1222×fma-neg_binary64
983×fma-def_binary64
688×div-sub_binary64
423×sub-neg_binary64
412×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11813
23513
37413
415113
524513
664113
7112513
8215813
9272913
10303713
11299513
12304913
13306313
14356913
15355913
16355913
17355913
18355913
19355913
20365513
21370313
22378513
23359313

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series17.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

17.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite14.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity_binary64
40×add-sqr-sqrt_binary64
30×times-frac_binary64
19×distribute-lft-out--_binary64
14×add-cube-cbrt_binary64
Counts
1 → 60
Calls

1 calls:

8.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

simplify91.0ms (1.7%)

Algorithm
egg-herbie
Rules
702×fma-def_binary64
518×times-frac_binary64
339×fma-neg_binary64
291×distribute-rgt-in_binary64
228×cancel-sign-sub-inv_binary64
Counts
84 → 109
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02242433
16352369
221152256
348532256
450452256

prune82.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh000
Picked011
Done000
Total1073110
Error
0b
Counts
110 → 3
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.3b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
32.5b
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2)) (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 2 x) 3))))) (+.f64 (/.f64 y (-.f64 2 x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3)) (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2)))))
Compiler

Compiled 2762 to 1445 computations (47.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.1b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
0.1b
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
0.2b
(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))

series746.0ms (13.7%)

Counts
3 → 72
Calls

3 calls:

592.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
134.0ms
(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
19.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))

rewrite167.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
602×*-un-lft-identity_binary64
338×cbrt-prod_binary64
295×times-frac_binary64
288×add-sqr-sqrt_binary64
196×distribute-lft-out--_binary64
Counts
3 → 329
Calls

3 calls:

38.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
35.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
9.0ms
(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))

simplify383.0ms (7%)

Algorithm
egg-herbie
Rules
588×*-commutative_binary64
403×+-commutative_binary64
354×fma-def_binary64
330×associate-+r+_binary64
206×associate-*r*_binary64
Counts
401 → 444
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0170822927
1520022927

prune1.5s (27.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New9681969
Fresh101
Picked011
Done011
Total9693972
Error
0b
Counts
972 → 3
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.3b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
0.4b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (-.f64 x y))) (cbrt.f64 (-.f64 2 (+.f64 x y))))
Compiler

Compiled 60801 to 34778 computations (42.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
0.2b
(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
0.6b
(cbrt.f64 (-.f64 x y))
0.6b
(cbrt.f64 (-.f64 2 (+.f64 x y)))

series60.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

31.0ms
(cbrt.f64 (-.f64 2 (+.f64 x y)))
29.0ms
(cbrt.f64 (-.f64 x y))

rewrite7.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
11×cbrt-prod_binary64
add-sqr-sqrt_binary64
cbrt-div_binary64
add-cube-cbrt_binary64
Counts
2 → 35
Calls

2 calls:

4.0ms
(cbrt.f64 (-.f64 2 (+.f64 x y)))
2.0ms
(cbrt.f64 (-.f64 x y))

simplify92.0ms (1.7%)

Algorithm
egg-herbie
Rules
627×times-frac_binary64
328×sub-neg_binary64
317×fma-def_binary64
215×fma-neg_binary64
205×associate-*r*_binary64
Counts
83 → 124
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03433129
110513015
236202956
350642956

prune865.0ms (15.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5420542
Fresh000
Picked011
Done022
Total5423545
Error
0b
Counts
545 → 3
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
0.3b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
0.4b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (-.f64 x y))) (cbrt.f64 (-.f64 2 (+.f64 x y))))
Compiler

Compiled 40630 to 24403 computations (39.9% saved)

regimes194.0ms (3.6%)

Accuracy

Total 0.0b remaining (34.9%)

Threshold costs 0.0b (34.9%)

Counts
60 → 1
Compiler

Compiled 4780 to 3001 computations (37.2% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11313
22413
33213
43613
53713
63713

end66.0ms (1.2%)

Compiler

Compiled 102 to 58 computations (43.1% saved)

Profiling

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