Details

Time bar (total: 2.1s)

analyze49.0ms (2.4%)

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)

sample111.0ms (5.4%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify77.0ms (3.8%)

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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

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

rewrite12.0ms (0.6%)

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:

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

simplify76.0ms (3.7%)

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

prune34.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New56359
Fresh000
Picked101
Done000
Total57360
Error
0b
Counts
60 → 3
Alt Table
StatusErrorProgram
0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
▶0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
36.2b
(fma.f64 2 (/.f64 x y) -1)
Compiler

Compiled 948 to 301 computations (68.2% saved)

localize9.0ms (0.4%)

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)))

series27.0ms (1.3%)

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))

rewrite118.0ms (5.7%)

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:

26.0ms
(-.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))

simplify431.0ms (20.9%)

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

prune248.0ms (12%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4490449
Fresh022
Picked011
Done000
Total4493452
Error
0b
Counts
452 → 3
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
36.2b
(fma.f64 2 (/.f64 x y) -1)
Compiler

Compiled 18660 to 3294 computations (82.3% saved)

localize5.0ms (0.3%)

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))

series20.0ms (1%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
8.0ms
(/.f64 (+.f64 x y) (-.f64 x y))

rewrite33.0ms (1.6%)

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:

8.0ms
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
6.0ms
(/.f64 (+.f64 x y) (-.f64 x y))

simplify138.0ms (6.7%)

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

prune88.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2030203
Fresh011
Picked011
Done011
Total2033206
Error
0b
Counts
206 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
▶36.2b
(fma.f64 2 (/.f64 x y) -1)
Compiler

Compiled 3939 to 1257 computations (68.1% saved)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
✓0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
✓36.2b
(fma.f64 2 (/.f64 x y) -1)
Compiler

Compiled 32 to 19 computations (40.6% saved)

regimes71.0ms (3.5%)

Accuracy

Total 0.0b remaining (45.1%)

Threshold costs 0.0b (45.1%)

Counts
27 → 1
Compiler

Compiled 976 to 636 computations (34.8% 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

end0.0ms (0%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

sample489.0ms (23.7%)

Algorithm
1×intervals
Results
252.0ms8000×body128valid
Compiler

Compiled 57 to 33 computations (42.1% saved)

Profiling

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