Details

Time bar (total: 1.6s)

analyze126.0ms (8%)

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
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)

sample113.0ms (7.2%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 25 to 17 computations (32% saved)

simplify54.0ms (3.5%)

Algorithm
1×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

prune3.0ms (0.2%)

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
14.2b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
▶0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
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 (0.4%)

Counts
1 → 24
Calls

1 calls:

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

rewrite11.0ms (0.7%)

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

1 calls:

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

simplify90.0ms (5.8%)

Algorithm
1×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

prune27.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New43144
Fresh011
Picked011
Done000
Total43346
Error
0.0b
Counts
46 → 3
Alt Table
StatusErrorProgram
31.9b
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
▶14.2b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 655 to 483 computations (26.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓13.4b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

series9.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

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

rewrite8.0ms (0.5%)

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

1 calls:

6.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

simplify53.0ms (3.4%)

Algorithm
1×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

prune26.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New48250
Fresh011
Picked101
Done011
Total49453
Error
0.0b
Counts
53 → 4
Alt Table
StatusErrorProgram
49.8b
(*.f64 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x 2)) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 y)) y))
▶10.9b
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
31.9b
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 851 to 448 computations (47.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x y) y)
✓10.2b
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))

series12.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

7.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
5.0ms
(/.f64 (-.f64 x y) y)

rewrite24.0ms (1.5%)

Algorithm
1×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:

13.0ms
(*.f64 (/.f64 1/2 x) (/.f64 (-.f64 x y) y))
4.0ms
(/.f64 (-.f64 x y) y)

simplify81.0ms (5.2%)

Algorithm
1×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

prune58.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1461147
Fresh202
Picked101
Done011
Total1492151
Error
0b
Counts
151 → 2
Alt Table
StatusErrorProgram
▶10.9b
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 2457 to 1039 computations (57.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓10.2b
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)

series11.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

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

rewrite3.0ms (0.2%)

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

1 calls:

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

simplify64.0ms (4.1%)

Algorithm
1×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

prune25.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh000
Picked011
Done011
Total55257
Error
0b
Counts
57 → 2
Alt Table
StatusErrorProgram
✓10.9b
(/.f64 (fma.f64 1/2 (/.f64 x y) -1/2) x)
✓0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 906 to 544 computations (40% saved)

regimes46.0ms (2.9%)

Accuracy

Total 0.0b remaining (59.5%)

Threshold costs 0.0b (59.5%)

Counts
15 → 1
Compiler

Compiled 547 to 373 computations (31.8% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
1910
2910

end0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample692.0ms (44.2%)

Algorithm
1×intervals
Results
414.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 42 to 31 computations (26.2% saved)

Profiling

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