Details

Time bar (total: 2.6s)

analyze137.0ms (5.3%)

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%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample855.0ms (33.4%)

Results
733.0ms8256×body128valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify55.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
959×fma-neg_binary64
595×times-frac_binary64
494×neg-mul-1_binary64
491×neg-sub0_binary64
301×associate-/l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0813
11913
25210
311310
420310
543610
675810
7259210
8429910
9500210

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
16.3b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 58 to 40 computations (31% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series14.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

14.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite13.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
14×*-un-lft-identity_binary64
13×fma-def_binary64
11×times-frac_binary64
8×add-sqr-sqrt_binary64
8×add-cube-cbrt_binary64
Counts
1 → 29
Calls

1 calls:

9.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify90.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
889×div-sub_binary64
786×sub-neg_binary64
324×distribute-rgt-in_binary64
310×associate-*l/_binary64
292×distribute-lft-in_binary64
Counts
53 → 44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041466
1128436
2336435
31291435
43780435
54265435
64960435
75783435

prune27.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New43144
Fresh011
Picked011
Done000
Total43346
Error
0.0b
Counts
46 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
16.3b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
▶1.3b
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
Compiler

Compiled 673 to 497 computations (26.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
✓0.4b
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
✓0.5b
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
✓0.5b
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series85.0ms (3.3%)

Counts
3 → 72
Calls

3 calls:

39.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
30.0ms
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
16.0ms
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

rewrite104.0ms (4.1%)

Algorithm
1×rewrite-expression-head
Rules
171×cbrt-div_binary64
90×frac-times_binary64
57×flip-+_binary64
57×flip3-+_binary64
57×frac-add_binary64
Counts
3 → 186
Calls

3 calls:

33.0ms
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
27.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
15.0ms
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify191.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
483×cancel-sign-sub-inv_binary64
323×associate-*l*_binary64
265×associate-*r*_binary64
248×*-commutative_binary64
196×fma-neg_binary64
Counts
258 → 343
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043810698
110809883
233639393
350459393

prune545.0ms (21.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New6150615
Fresh011
Picked011
Done011
Total6153618
Error
0.0b
Counts
618 → 3
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
▶16.3b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
✓1.3b
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
Compiler

Compiled 25005 to 19005 computations (24% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓15.6b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

series8.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

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

rewrite9.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
7×*-un-lft-identity_binary64
7×add-sqr-sqrt_binary64
5×associate-/l*_binary64
Counts
1 → 32
Calls

1 calls:

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

simplify56.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
749×fma-def_binary64
658×times-frac_binary64
546×associate-/r*_binary64
522×associate-*l*_binary64
490×div-sub_binary64
Counts
56 → 50
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090826
1241704
2891655
34160655
46127655

prune25.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New49150
Fresh000
Picked011
Done022
Total49453
Error
0b
Counts
53 → 4
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
▶8.4b
(/.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) y)
✓16.3b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
✓1.3b
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
Compiler

Compiled 814 to 425 computations (47.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x y) (*.f64 x 2))
✓7.8b
(/.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) y)

series15.0ms (0.6%)

Counts
2 → 48
Calls

2 calls:

8.0ms
(/.f64 (-.f64 x y) (*.f64 x 2))
7.0ms
(/.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) y)

rewrite16.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
52×times-frac_binary64
34×*-un-lft-identity_binary64
34×add-sqr-sqrt_binary64
22×add-cube-cbrt_binary64
16×add-cbrt-cube_binary64
Counts
2 → 89
Calls

2 calls:

6.0ms
(/.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) y)
5.0ms
(/.f64 (-.f64 x y) (*.f64 x 2))

simplify84.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
838×div-sub_binary64
625×times-frac_binary64
503×associate-/l*_binary64
486×associate-/l/_binary64
485×associate-/r*_binary64
Counts
137 → 124
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01622187
13972004
211891907
344251899
467711899

prune57.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done033
Total1244128
Error
0b
Counts
128 → 4
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
✓8.4b
(/.f64 (/.f64 (-.f64 x y) (*.f64 x 2)) y)
✓16.3b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
✓1.3b
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
Compiler

Compiled 2023 to 947 computations (53.2% saved)

regimes88.0ms (3.4%)

Accuracy

Total 0.0b remaining (74%)

Threshold costs 0.0b (74%)

Counts
29 → 1
Compiler

Compiled 1450 to 973 computations (32.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
1910
2910

end58.0ms (2.2%)

Compiler

Compiled 77 to 57 computations (26% saved)

Profiling

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