Details

Time bar (total: 3.6s)

analyze61.0ms (1.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
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)

sample820.0ms (22.6%)

Results
704.0ms8256×body128valid
Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify79.0ms (2.2%)

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%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

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

rewrite13.0ms (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))

simplify76.0ms (2.1%)

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

prune41.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New56359
Fresh000
Picked011
Done000
Total56460
Error
0b
Counts
60 → 4
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
28.5b
(fma.f64 2 (-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
35.0b
(fma.f64 -2 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (fma.f64 2 (*.f64 (/.f64 y x) (/.f64 y x)) 1))
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 1009 to 326 computations (67.7% saved)

localize5.0ms (0.1%)

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)))

series26.0ms (0.7%)

Counts
3 → 72
Calls

3 calls:

10.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
8.0ms
(/.f64 y (+.f64 x y))
8.0ms
(/.f64 x (+.f64 x y))

rewrite121.0ms (3.3%)

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:

27.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
4.0ms
(/.f64 x (+.f64 x y))
3.0ms
(/.f64 y (+.f64 x y))

simplify403.0ms (11.1%)

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

prune252.0ms (6.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4472449
Fresh202
Picked011
Done011
Total4494453
Error
0b
Counts
453 → 4
Alt Table
StatusErrorProgram
35.3b
(+.f64 1 (*.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))))
▶28.5b
(fma.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) -1)
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 18701 to 3317 computations (82.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) -1)
✓0.1b
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
✓0.3b
(pow.f64 (/.f64 x y) 3)
✓5.4b
(+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))

series73.0ms (2%)

Counts
4 → 96
Calls

4 calls:

24.0ms
(+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))
18.0ms
(pow.f64 (/.f64 x y) 3)
17.0ms
(fma.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) -1)
14.0ms
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))

rewrite93.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
219×add-sqr-sqrt_binary64
210×*-un-lft-identity_binary64
206×add-cube-cbrt_binary64
192×times-frac_binary64
156×prod-diff_binary64
Counts
4 → 364
Calls

4 calls:

24.0ms
(+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))
13.0ms
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
3.0ms
(pow.f64 (/.f64 x y) 3)
0.0ms
(fma.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) -1)

simplify213.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
666×associate-*l*_binary64
617×associate-*r*_binary64
270×associate-*l/_binary64
267×associate-*r/_binary64
266×fma-neg_binary64
Counts
460 → 477
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039710446
111048167
244008167
350058167

prune860.0ms (23.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4770477
Fresh011
Picked011
Done022
Total4774481
Error
0b
Counts
481 → 4
Alt Table
StatusErrorProgram
▶35.3b
(+.f64 1 (*.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))))
✓28.5b
(fma.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) -1)
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 18136 to 7168 computations (60.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 y x) -1)
✓0.0b
(*.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
✓0.2b
(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))

series64.0ms (1.8%)

Counts
3 → 72
Calls

3 calls:

48.0ms
(*.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
12.0ms
(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
4.0ms
(+.f64 (/.f64 y x) -1)

rewrite30.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
21×times-frac_binary64
19×add-cube-cbrt_binary64
17×add-cbrt-cube_binary64
Counts
3 → 103
Calls

3 calls:

10.0ms
(*.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
9.0ms
(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
5.0ms
(+.f64 (/.f64 y x) -1)

simplify92.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
541×distribute-rgt-in_binary64
486×distribute-lft-in_binary64
357×fma-def_binary64
334×associate-/l*_binary64
310×fma-neg_binary64
Counts
175 → 176
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01462571
14342212
214222198
347722124
450242124

prune98.0ms (2.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1760176
Fresh000
Picked011
Done033
Total1764180
Error
0b
Counts
180 → 4
Alt Table
StatusErrorProgram
✓35.3b
(+.f64 1 (*.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))))
✓28.5b
(fma.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) -1)
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 3591 to 1879 computations (47.7% saved)

regimes121.0ms (3.3%)

Accuracy

Total 0.0b remaining (84.3%)

Threshold costs 0.0b (84.3%)

Counts
45 → 1
Compiler

Compiled 1964 to 1181 computations (39.9% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
11016
21716
32116
42416
52516
62516

end57.0ms (1.6%)

Compiler

Compiled 83 to 45 computations (45.8% saved)

Profiling

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