Details

Time bar (total: 2.5s)

analyze61.0ms (2.5%)

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)

sample88.0ms (3.5%)

Algorithm
intervals
Results
19.0ms256×body128valid
3.0ms256×pre128true
Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify47.0ms (1.9%)

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
0.7b
Counts
2 → 2
Alt Table
StatusErrorProgram
46.2b
(/.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))
0.7b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
Compiler

Compiled 82 to 58 computations (29.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (*.f64 i i))
0.7b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite75.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
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:

8.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
4.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 1183 to 881 computations (25.5% saved)

series20.0ms (0.8%)

Error
0.0b
Counts
2 → 11
Calls

2 calls:

10.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
4.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 250 to 216 computations (13.6% saved)

simplify93.0ms (3.7%)

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

prune31.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New68270
Fresh101
Picked011
Done000
Total69372
Error
0b
Counts
72 → 3
Alt Table
StatusErrorProgram
0.1b
(/.f64 (/.f64 1/4 (+.f64 2 (/.f64 1 i))) (-.f64 (sqrt.f64 4) (/.f64 1 i)))
0.7b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
31.9b
(-.f64 (*.f64 -1/4 (*.f64 i i)) (pow.f64 i 4))
Compiler

Compiled 515 to 390 computations (24.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (sqrt.f64 4) (/.f64 1 i))
0.1b
(/.f64 (/.f64 1/4 (+.f64 2 (/.f64 1 i))) (-.f64 (sqrt.f64 4) (/.f64 1 i)))
0.1b
(/.f64 1/4 (+.f64 2 (/.f64 1 i)))

rewrite259.0ms (10.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
527×times-frac_binary64
472×add-sqr-sqrt_binary64
385×*-un-lft-identity_binary64
150×add-cube-cbrt_binary64
138×difference-of-squares_binary64
Counts
3 → 349
Calls

3 calls:

21.0ms
(/.f64 (/.f64 1/4 (+.f64 2 (/.f64 1 i))) (-.f64 (sqrt.f64 4) (/.f64 1 i)))
8.0ms
(/.f64 1/4 (+.f64 2 (/.f64 1 i)))
8.0ms
(-.f64 (sqrt.f64 4) (/.f64 1 i))
Compiler

Compiled 5511 to 4779 computations (13.3% saved)

series37.0ms (1.5%)

Error
0b
Counts
3 → 24
Calls

3 calls:

10.0ms
(/.f64 (/.f64 1/4 (+.f64 2 (/.f64 1 i))) (-.f64 (sqrt.f64 4) (/.f64 1 i)))
10.0ms
(/.f64 1/4 (+.f64 2 (/.f64 1 i)))
5.0ms
(-.f64 (sqrt.f64 4) (/.f64 1 i))
Compiler

Compiled 678 to 576 computations (15% saved)

simplify384.0ms (15.4%)

Algorithm
egg-herbie
Rules
472×associate-/r*_binary64
439×associate-/l/_binary64
348×associate-/l*_binary64
304×times-frac_binary64
285×distribute-rgt-in_binary64
Counts
373 → 345
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032312297
180212070
2196712025
3458812025
4503512025

prune116.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3450345
Fresh011
Picked011
Done011
Total3453348
Error
0b
Counts
348 → 3
Alt Table
StatusErrorProgram
0.1b
(/.f64 (/.f64 1/4 (+.f64 2 (/.f64 1 i))) (-.f64 (sqrt.f64 4) (/.f64 1 i)))
0.7b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
31.9b
(-.f64 (*.f64 -1/4 (*.f64 i i)) (pow.f64 i 4))
Compiler

Compiled 3609 to 3077 computations (14.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite34.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
cancel-sign-sub-inv_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
add-sqr-sqrt_binary64
Counts
2 → 37
Calls

2 calls:

6.0ms
(-.f64 (*.f64 -1/4 (*.f64 i i)) (pow.f64 i 4))
4.0ms
(*.f64 -1/4 (*.f64 i i))
Compiler

Compiled 574 to 364 computations (36.6% saved)

series20.0ms (0.8%)

Error
0b
Counts
2 → 9
Calls

2 calls:

12.0ms
(-.f64 (*.f64 -1/4 (*.f64 i i)) (pow.f64 i 4))
6.0ms
(*.f64 -1/4 (*.f64 i i))
Compiler

Compiled 174 to 141 computations (19% saved)

simplify115.0ms (4.6%)

Algorithm
egg-herbie
Rules
566×associate-*l*_binary64
426×associate-*r*_binary64
335×distribute-rgt-neg-out_binary64
328×distribute-lft-neg-out_binary64
313×cancel-sign-sub-inv_binary64
Counts
46 → 28
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089539
1198503
2535485
32030485
44389485
54892485
64991485
74888485

prune8.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done022
Total28331
Error
0b
Counts
31 → 3
Alt Table
StatusErrorProgram
0.1b
(/.f64 (/.f64 1/4 (+.f64 2 (/.f64 1 i))) (-.f64 (sqrt.f64 4) (/.f64 1 i)))
0.7b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
31.9b
(-.f64 (*.f64 -1/4 (*.f64 i i)) (pow.f64 i 4))
Compiler

Compiled 194 to 139 computations (28.4% saved)

regimes84.0ms (3.4%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Compiler

Compiled 1378 to 1125 computations (18.4% saved)

simplify4.0ms (0.1%)

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
01122
11722
22322
32522
42622
52422

end1.0ms (0%)

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample993.0ms (39.9%)

Algorithm
intervals
Results
567.0ms8000×body128valid
110.0ms8000×pre128true
Compiler

Compiled 82 to 63 computations (23.2% saved)

Profiling

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