Details

Time bar (total: 1.4s)

analyze223.0ms (15.5%)

Algorithm
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
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample16.0ms (1.1%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 25 to 17 computations (32% saved)

simplify65.0ms (4.6%)

Algorithm
egg-herbie
Rules
959×fma-neg_binary64
595×times-frac_binary64
494×neg-mul-1_binary64
491×neg-sub0_binary64
301×associate-/l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0813
11913
25210
311310
420310
543610
675810
7259210
8429910
9500210

prune4.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
13.5b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 58 to 40 computations (31% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite13.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity_binary64
13×fma-def_binary64
11×times-frac_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
1 → 29
Calls

1 calls:

11.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify93.0ms (6.5%)

Algorithm
egg-herbie
Rules
889×div-sub_binary64
786×sub-neg_binary64
324×distribute-rgt-in_binary64
310×associate-*l/_binary64
292×distribute-lft-in_binary64
Counts
53 → 44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041466
1128436
2336435
31291435
43780435
54265435
64960435
75783435

prune22.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New44044
Fresh011
Picked011
Done000
Total44246
Error
0.0b
Counts
46 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
13.5b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 617 to 453 computations (26.6% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
13.1b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

series11.0ms (0.8%)

Counts
1 → 24
Calls

1 calls:

11.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite8.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
associate-/l*_binary64
Counts
1 → 32
Calls

1 calls:

7.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

simplify60.0ms (4.2%)

Algorithm
egg-herbie
Rules
749×fma-def_binary64
658×times-frac_binary64
546×associate-/r*_binary64
522×associate-*l*_binary64
490×div-sub_binary64
Counts
56 → 50
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090826
1241704
2891655
34160655
46127655

prune21.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh000
Picked011
Done011
Total49352
Error
0.0b
Counts
52 → 3
Alt Table
StatusErrorProgram
8.7b
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
13.5b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 786 to 403 computations (48.7% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x y) y)
8.1b
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))

series13.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

8.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
5.0ms
(/.f64 (-.f64 x y) y)

rewrite23.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64
43×times-frac_binary64
42×*-un-lft-identity_binary64
28×add-cube-cbrt_binary64
19×associate-*r*_binary64
Counts
2 → 98
Calls

2 calls:

11.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
5.0ms
(/.f64 (-.f64 x y) y)

simplify84.0ms (5.8%)

Algorithm
egg-herbie
Rules
749×fma-def_binary64
533×associate-/l*_binary64
360×distribute-rgt-in_binary64
337×distribute-lft-in_binary64
281×associate-/l/_binary64
Counts
146 → 147
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01582014
14121844
215771795
347151795
452901795

prune59.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1461147
Fresh000
Picked101
Done112
Total1482150
Error
0b
Counts
150 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
8.6b
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)
Compiler

Compiled 2457 to 1039 computations (57.7% saved)

localize9.0ms (0.6%)

Local error

Found 1 expressions with local error:

NewErrorProgram
8.1b
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

series9.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

rewrite4.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
times-frac_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

2.0ms
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

simplify71.0ms (4.9%)

Algorithm
egg-herbie
Rules
537×distribute-rgt-out_binary64
449×associate-*l*_binary64
437×fma-def_binary64
382×distribute-rgt-in_binary64
376×distribute-lft-in_binary64
Counts
53 → 55
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062781
1113735
2248735
3537733
41370733
53336733
64964733

prune27.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh000
Picked011
Done011
Total55257
Error
0b
Counts
57 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
8.6b
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)
Compiler

Compiled 906 to 544 computations (40% saved)

regimes33.0ms (2.3%)

Accuracy

Total 0.0b remaining (61.5%)

Threshold costs 0.0b (61.5%)

Counts
9 → 1
Compiler

Compiled 280 to 199 computations (28.9% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
1910
2910

end0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample543.0ms (37.8%)

Algorithm
intervals
Results
291.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 42 to 31 computations (26.2% saved)

Profiling

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