Details

Time bar (total: 3.0s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (42.9%)

Results
486.0ms2100×body512valid
448.0ms4641×body128valid
171.0ms1068×body256valid
135.0ms447×body1024valid
Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify11.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43716
55516
68016
79716
811416
912416
1012816
1113016
1211616

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
15.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶15.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 47 to 39 computations (17% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 x 1))
✓0.0b
(/.f64 1 (+.f64 x 1))
✓2.3b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series8.0ms (0.3%)

Counts
3 → 36
Calls

3 calls:

3.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
2.0ms
(/.f64 1 (+.f64 x 1))
2.0ms
(/.f64 1 (-.f64 x 1))

rewrite290.0ms (9.8%)

Algorithm
3×egg-rewrite
Rules
153×egg
45×egg
44×egg
Counts
3 → 242
Calls

3 calls:

115.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
87.0ms
(/.f64 1 (+.f64 x 1))
84.0ms
(/.f64 1 (-.f64 x 1))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
119216
2253716
3491016
4493816
057
11097
212547
348247
455587
057
11097
212417
347667
455257

simplify70.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
748×unswap-sqr_binary64
435×associate-*l*_binary64
355×fma-neg_binary64
344×associate-/r*_binary64
301×associate-*r*_binary64
Counts
278 → 281
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065575
1197543
2573540
31610537
44128537
55539537

prune197.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2801281
Fresh000
Picked011
Done000
Total2802282
Error
0.3b
Counts
282 → 2
Alt Table
StatusErrorProgram
✓15.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶30.7b
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
Compiler

Compiled 6887 to 5629 computations (18.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 2 (pow.f64 x 4))
✓0.4b
(/.f64 -2 (*.f64 x x))

series5.0ms (0.2%)

Counts
2 → 12
Calls

2 calls:

3.0ms
(/.f64 2 (pow.f64 x 4))
2.0ms
(/.f64 -2 (*.f64 x x))

rewrite156.0ms (5.2%)

Algorithm
2×egg-rewrite
Rules
51×egg
45×egg
Counts
2 → 96
Calls

2 calls:

78.0ms
(/.f64 2 (pow.f64 x 4))
76.0ms
(/.f64 -2 (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
212227
348227
450487
067
11307
213307
349687
451267

simplify160.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
1108×sqr-pow_binary64
573×fabs-mul_binary64
560×cube-prod_binary64
536×pow-sqr_binary64
434×unswap-sqr_binary64
Counts
108 → 98
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
21984
33484
47084
516684
649184
7114884
8115084
9129884
10146884
11164784
12187284
13215784
14257684
15314184
16382784
17404584
18428984
19437184
20440484
21442584
22499384

prune55.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh000
Picked101
Done011
Total973100
Error
0b
Counts
100 → 3
Alt Table
StatusErrorProgram
✓15.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
30.5b
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
▶30.4b
(-.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 2 (pow.f64 x 4)))
Compiler

Compiled 1611 to 1183 computations (26.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -2 (pow.f64 x -2))
0.3b
(/.f64 2 (pow.f64 x 4))

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(*.f64 -2 (pow.f64 x -2))

rewrite82.0ms (2.8%)

Algorithm
1×egg-rewrite
Rules
42×egg
Counts
1 → 42
Calls

1 calls:

82.0ms
(*.f64 -2 (pow.f64 x -2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
211237
347547
458877

simplify157.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
1108×sqr-pow_binary64
573×fabs-mul_binary64
560×cube-prod_binary64
536×pow-sqr_binary64
434×unswap-sqr_binary64
Counts
54 → 44
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
21984
33484
47084
516684
649184
7114884
8115084
9129884
10146884
11164784
12187284
13215784
14257684
15314184
16382784
17404584
18428984
19437184
20440484
21442584
22499384

prune56.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done011
Total89392
Error
0b
Counts
92 → 3
Alt Table
StatusErrorProgram
✓15.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶30.5b
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
✓30.4b
(-.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 2 (pow.f64 x 4)))
Compiler

Compiled 1491 to 1254 computations (15.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -2 x) x)
0.3b
(/.f64 2 (pow.f64 x 4))

series2.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(/.f64 (/.f64 -2 x) x)

rewrite49.0ms (1.6%)

Algorithm
1×egg-rewrite
Rules
97×egg
Counts
1 → 97
Calls

1 calls:

47.0ms
(/.f64 (/.f64 -2 x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11127
214417
354637

simplify158.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
1108×sqr-pow_binary64
573×fabs-mul_binary64
560×cube-prod_binary64
536×pow-sqr_binary64
434×unswap-sqr_binary64
Counts
109 → 98
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
21984
33484
47084
516684
649184
7114884
8115084
9129884
10146884
11164784
12187284
13215784
14257684
15314184
16382784
17404584
18428984
19437184
20440484
21442584
22499384

prune81.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1430143
Fresh000
Picked011
Done022
Total1433146
Error
0b
Counts
146 → 3
Alt Table
StatusErrorProgram
✓15.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓30.5b
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
✓30.4b
(-.f64 (*.f64 -2 (pow.f64 x -2)) (/.f64 2 (pow.f64 x 4)))
Compiler

Compiled 2534 to 1892 computations (25.3% saved)

regimes52.0ms (1.8%)

Accuracy

Total 0.1b remaining (85.1%)

Threshold costs 0.1b (85.1%)

Counts
18 → 2
Compiler

Compiled 428 to 348 computations (18.7% saved)

bsearch1.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02053
13053
24053
34453
44653
54353

end65.0ms (2.2%)

Compiler

Compiled 110 to 91 computations (17.3% saved)

Profiling

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