Details

Time bar (total: 2.3s)

analyze60.0ms (2.6%)

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
25%74.9%0.1%4
37.5%62.4%0.1%5
59.3%40.6%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 10 to 6 computations (40% saved)

sample883.0ms (38.6%)

Results
780.0ms8256×body128valid
Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify72.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
801×fma-def_binary64
511×fma-neg_binary64
365×times-frac_binary64
331×div-sub_binary64
156×associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11210
21910
33010
45210
58110
612410
719110
830010
964110
1082210
11129910
12132810
13134310
14135710
15137710
16137710
17127610

prune1.0ms (0.1%)

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 x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

rewrite9.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
6×distribute-lft-out_binary64
Counts
1 → 48
Calls

1 calls:

6.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

simplify77.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
610×div-sub_binary64
586×fma-neg_binary64
530×cancel-sign-sub-inv_binary64
194×distribute-neg-frac_binary64
184×fma-def_binary64
Counts
72 → 59
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061287
12831239
27481195
324881183
443831183
554851183

prune31.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New56359
Fresh000
Picked011
Done000
Total56460
Error
0b
Counts
60 → 4
Alt Table
StatusErrorProgram
30.6b
(fma.f64 2 (/.f64 x y) -1)
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
▶0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
Compiler

Compiled 957 to 306 computations (68% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series22.0ms (1%)

Counts
3 → 72
Calls

3 calls:

8.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
7.0ms
(/.f64 y (+.f64 x y))
7.0ms
(/.f64 x (+.f64 x y))

rewrite116.0ms (5.1%)

Algorithm
1×rewrite-expression-head
Rules
595×*-un-lft-identity_binary64
496×times-frac_binary64
339×add-sqr-sqrt_binary64
327×add-cube-cbrt_binary64
324×prod-diff_binary64
Counts
3 → 459
Calls

3 calls:

31.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
3.0ms
(/.f64 x (+.f64 x y))
3.0ms
(/.f64 y (+.f64 x y))

simplify393.0ms (17.2%)

Algorithm
1×egg-herbie
Rules
764×fma-neg_binary64
542×times-frac_binary64
251×unsub-neg_binary64
239×sub-neg_binary64
210×fma-udef_binary64
Counts
531 → 449
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046325191
1107716096
2249811283
3463411271
4489611271

prune234.0ms (10.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4490449
Fresh022
Picked011
Done011
Total4494453
Error
0b
Counts
453 → 4
Alt Table
StatusErrorProgram
30.6b
(fma.f64 2 (/.f64 x y) -1)
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
▶0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
Compiler

Compiled 18669 to 3299 computations (82.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series16.0ms (0.7%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
7.0ms
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))

rewrite30.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
178×times-frac_binary64
174×*-un-lft-identity_binary64
122×add-sqr-sqrt_binary64
80×add-cube-cbrt_binary64
31×associate-/r*_binary64
Counts
2 → 177
Calls

2 calls:

9.0ms
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
5.0ms
(/.f64 (+.f64 x y) (-.f64 x y))

simplify132.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
620×fma-neg_binary64
340×fma-def_binary64
288×times-frac_binary64
230×distribute-rgt-in_binary64
227×associate-*r*_binary64
Counts
225 → 203
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01724507
14204205
212854017
339913999
449763999

prune97.0ms (4.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2030203
Fresh011
Picked011
Done022
Total2034207
Error
0b
Counts
207 → 4
Alt Table
StatusErrorProgram
▶30.6b
(fma.f64 2 (/.f64 x y) -1)
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
✓0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
Compiler

Compiled 3948 to 1262 computations (68% saved)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
✓30.6b
(fma.f64 2 (/.f64 x y) -1)
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
✓0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
Compiler

Compiled 41 to 24 computations (41.5% saved)

regimes36.0ms (1.6%)

Accuracy

Total 0.0b remaining (61.9%)

Threshold costs 0.0b (61.9%)

Counts
14 → 1
Compiler

Compiled 441 to 270 computations (38.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1910
21410
31610
41710
51710

end47.0ms (2.1%)

Compiler

Compiled 59 to 34 computations (42.4% saved)

Profiling

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