Details

Time bar (total: 1.7s)

analyze61.0ms (3.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 30 to 20 computations (33.3% saved)

sample30.0ms (1.7%)

Algorithm
intervals
Results
17.0ms256×body128valid
3.0ms256×pre128true
Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify47.0ms (2.7%)

Algorithm
egg-herbie
Rules
581×associate-/r*_binary64
516×cancel-sign-sub-inv_binary64
510×distribute-rgt-in_binary64
489×distribute-lft-in_binary64
415×associate-/r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131
13928
217719
390413
4232013
5406913
6504713

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.1b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
47.1b
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
Compiler

Compiled 82 to 58 computations (29.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.5b
(/.f64 1 (*.f64 i i))

rewrite74.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
37×add-sqr-sqrt_binary64
35×times-frac_binary64
33×*-un-lft-identity_binary64
17×add-cube-cbrt_binary64
15×add-exp-log_binary64
Counts
2 → 81
Calls

2 calls:

7.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
3.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 1183 to 881 computations (25.5% saved)

series19.0ms (1.1%)

Error
0b
Counts
2 → 11
Calls

2 calls:

9.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 250 to 216 computations (13.6% saved)

simplify90.0ms (5.3%)

Algorithm
egg-herbie
Rules
484×cancel-sign-sub-inv_binary64
454×associate-/l*_binary64
369×associate-/r*_binary64
349×div-sub_binary64
239×associate-/l/_binary64
Counts
92 → 70
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01441471
12751374
26151275
315081275
444261215
548741215

prune22.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh101
Picked101
Done000
Total70272
Error
0b
Counts
72 → 2
Alt Table
StatusErrorProgram
0.1b
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
35.0b
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
Compiler

Compiled 491 to 370 computations (24.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

rewrite36.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
33×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64
21×times-frac_binary64
13×add-cube-cbrt_binary64
12×difference-of-squares_binary64
Counts
1 → 45
Calls

1 calls:

5.0ms
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
Compiler

Compiled 712 to 629 computations (11.7% saved)

series13.0ms (0.8%)

Error
0b
Counts
1 → 8
Calls

1 calls:

10.0ms
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
Compiler

Compiled 181 to 154 computations (14.9% saved)

simplify151.0ms (8.8%)

Algorithm
egg-herbie
Rules
422×cancel-sign-sub-inv_binary64
238×associate-/l*_binary64
231×div-sub_binary64
228×times-frac_binary64
189×associate-*l/_binary64
Counts
53 → 37
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0126947
1246897
2539897
31330855
44048855
54741855
64888855

prune16.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New37037
Fresh011
Picked011
Done000
Total37239
Error
0b
Counts
39 → 2
Alt Table
StatusErrorProgram
0.1b
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
35.0b
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
Compiler

Compiled 347 to 286 computations (17.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))

rewrite24.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
cancel-sign-sub-inv_binary64
unpow-prod-down_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
1 → 18
Calls

1 calls:

6.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
Compiler

Compiled 338 to 217 computations (35.8% saved)

series15.0ms (0.9%)

Error
0b
Counts
1 → 6
Calls

1 calls:

11.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
Compiler

Compiled 105 to 86 computations (18.1% saved)

simplify67.0ms (3.9%)

Algorithm
egg-herbie
Rules
393×associate-*l*_binary64
322×associate-*r*_binary64
287×distribute-rgt-neg-out_binary64
270×cancel-sign-sub-inv_binary64
270×exp-prod_binary64
Counts
24 → 21
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062350
1154311
2406305
31701305
44424305
55019305

prune8.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New21021
Fresh000
Picked011
Done011
Total21223
Error
0b
Counts
23 → 2
Alt Table
StatusErrorProgram
0.1b
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
35.0b
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
Compiler

Compiled 178 to 118 computations (33.7% saved)

regimes80.0ms (4.6%)

Accuracy

Total 0.1b remaining (92.4%)

Threshold costs 0.1b (92.4%)

Compiler

Compiled 1120 to 899 computations (19.7% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
distribute-neg-frac_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
11922
22522
32722
42822
52522

end1.0ms (0%)

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample940.0ms (54.8%)

Algorithm
intervals
Results
542.0ms8000×body128valid
109.0ms8000×pre128true
Compiler

Compiled 65 to 49 computations (24.6% saved)

Profiling

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