Details

Time bar (total: 2.6s)

analyze53.0ms (2%)

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)

sample826.0ms (31.5%)

Results
719.0ms8256×body128valid
Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify73.0ms (2.8%)

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 (0.1%)

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))

series11.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

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

rewrite10.0ms (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:

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

simplify73.0ms (2.8%)

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

prune28.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New57259
Fresh000
Picked011
Done000
Total57360
Error
0b
Counts
60 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
▶0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
Compiler

Compiled 941 to 294 computations (68.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
✓0.5b
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

series29.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

17.0ms
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
12.0ms
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))

rewrite1.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×log1p-expm1-u_binary64
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

0.0ms
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0ms
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))

simplify64.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
688×fma-neg_binary64
438×times-frac_binary64
396×distribute-neg-frac_binary64
308×associate-/l*_binary64
244×associate-/r*_binary64
Counts
70 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0981454
12601342
28321255
336441234
452821234

prune65.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done011
Total1193122
Error
0b
Counts
122 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
▶0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
Compiler

Compiled 1964 to 771 computations (60.7% saved)

localize5.0ms (0.2%)

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)))

series33.0ms (1.3%)

Counts
3 → 72
Calls

3 calls:

16.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
9.0ms
(/.f64 y (+.f64 x y))
8.0ms
(/.f64 x (+.f64 x y))

rewrite116.0ms (4.4%)

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

simplify379.0ms (14.5%)

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

prune511.0ms (19.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4490449
Fresh000
Picked011
Done022
Total4493452
Error
0b
Counts
452 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
Compiler

Compiled 18642 to 3280 computations (82.4% saved)

regimes282.0ms (10.8%)

Accuracy

Total 0.0b remaining (57.1%)

Threshold costs 0.0b (57.1%)

Counts
13 → 1
Compiler

Compiled 390 to 249 computations (36.2% 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

end48.0ms (1.8%)

Compiler

Compiled 51 to 28 computations (45.1% saved)

Profiling

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