Details

Time bar (total: 4.3s)

analyze56.0ms (1.3%)

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
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)

sample840.0ms (19.6%)

Results
725.0ms8256×body128valid
Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify75.0ms (1.8%)

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))

rewrite9.0ms (0.2%)

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))

simplify70.0ms (1.6%)

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

prune36.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New56359
Fresh000
Picked101
Done000
Total57360
Error
0b
Counts
60 → 3
Alt Table
StatusErrorProgram
30.1b
(fma.f64 (/.f64 y x) -2 1)
33.2b
(fma.f64 2 (-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
▶0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
Compiler

Compiled 970 to 309 computations (68.1% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series35.0ms (0.8%)

Counts
3 → 72
Calls

3 calls:

15.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
11.0ms
(/.f64 x (+.f64 x y))
9.0ms
(/.f64 y (+.f64 x y))

rewrite126.0ms (2.9%)

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:

33.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
3.0ms
(/.f64 y (+.f64 x y))
3.0ms
(/.f64 x (+.f64 x y))

simplify387.0ms (9%)

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

prune228.0ms (5.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4472449
Fresh202
Picked011
Done000
Total4493452
Error
0b
Counts
452 → 3
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (/.f64 y (+.f64 x y)))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
33.2b
(fma.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) -1)
Compiler

Compiled 18692 to 3308 computations (82.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (+.f64 x y))
✓0.0b
(exp.f64 (/.f64 x (+.f64 x y)))
✓0.0b
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (/.f64 y (+.f64 x y)))
✓2.4b
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))

series32.0ms (0.7%)

Counts
3 → 72
Calls

3 calls:

12.0ms
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (/.f64 y (+.f64 x y)))
11.0ms
(exp.f64 (/.f64 x (+.f64 x y)))
9.0ms
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))

rewrite170.0ms (4%)

Algorithm
1×rewrite-expression-head
Rules
643×*-un-lft-identity_binary64
529×times-frac_binary64
396×prod-diff_binary64
381×add-sqr-sqrt_binary64
381×log-pow_binary64
Counts
3 → 516
Calls

3 calls:

30.0ms
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (/.f64 y (+.f64 x y)))
4.0ms
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
4.0ms
(exp.f64 (/.f64 x (+.f64 x y)))

simplify392.0ms (9.2%)

Algorithm
1×egg-herbie
Rules
619×fma-neg_binary64
587×times-frac_binary64
269×unsub-neg_binary64
252×fma-udef_binary64
208×sub-neg_binary64
Counts
588 → 501
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053017564
1113913384
2247012521
3464612509
4481512509

prune294.0ms (6.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New5500550
Fresh011
Picked011
Done011
Total5503553
Error
0b
Counts
553 → 3
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (/.f64 y (+.f64 x y)))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
▶33.2b
(fma.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) -1)
Compiler

Compiled 23579 to 4254 computations (82% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 x y))
✓0.1b
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
✓0.2b
(pow.f64 (/.f64 x y) 3)
✓7.8b
(+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))

series68.0ms (1.6%)

Counts
4 → 78
Calls

4 calls:

32.0ms
(+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y))))
15.0ms
(pow.f64 (/.f64 x y) 3)
14.0ms
(*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))
5.0ms
(-.f64 1 (/.f64 x y))

rewrite102.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Rules
269×add-sqr-sqrt_binary64
256×*-un-lft-identity_binary64
248×add-cube-cbrt_binary64
230×times-frac_binary64
195×prod-diff_binary64
Counts
4 → 427
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)))
6.0ms
(-.f64 1 (/.f64 x y))
3.0ms
(pow.f64 (/.f64 x y) 3)

simplify726.0ms (16.9%)

Algorithm
1×egg-herbie
Rules
653×associate-*l*_binary64
601×associate-*r*_binary64
263×associate-*l/_binary64
259×associate-*r/_binary64
227×fma-def_binary64
Counts
505 → 528
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038411254
110518507
242128491
350648491

prune413.0ms (9.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5280528
Fresh000
Picked011
Done022
Total5283531
Error
0b
Counts
531 → 3
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (/.f64 y (+.f64 x y)))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
✓33.2b
(fma.f64 2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (-.f64 1 (/.f64 x y)))) -1)
Compiler

Compiled 20571 to 8006 computations (61.1% saved)

regimes138.0ms (3.2%)

Accuracy

Total 0.0b remaining (55.1%)

Threshold costs 0.0b (55.1%)

Counts
56 → 1
Compiler

Compiled 2431 to 1432 computations (41.1% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
2×sub-neg_binary64
1×*-commutative_binary64
1×distribute-neg-frac_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11419
22019
32219
42319
52119

end50.0ms (1.2%)

Compiler

Compiled 78 to 42 computations (46.2% saved)

Profiling

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