Details

Time bar (total: 2.1s)

analyze9.0ms (0.4%)

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 29 to 19 computations (34.5% saved)

sample96.0ms (4.6%)

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

Compiled 56 to 37 computations (33.9% saved)

simplify57.0ms (2.7%)

Algorithm
egg-herbie
Rules
581×associate-/r*_binary64
510×distribute-rgt-in_binary64
489×distribute-lft-in_binary64
463×fma-neg_binary64
415×associate-/r/_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131
14026
218517
391513
4234013
5445513
6495813
7507713

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.4b
Counts
3 → 2
Alt Table
StatusErrorProgram
47.6b
(/.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))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
Compiler

Compiled 107 to 73 computations (31.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (*.f64 i i))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

series6.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
2.0ms
(/.f64 1 (*.f64 i i))

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
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 → 85
Calls

2 calls:

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

simplify130.0ms (6.2%)

Algorithm
egg-herbie
Rules
484×cancel-sign-sub-inv_binary64
484×fma-neg_binary64
262×associate-/l/_binary64
260×unsub-neg_binary64
197×neg-mul-1_binary64
Counts
109 → 114
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01571670
13041577
27011474
318551474
442051414
548871414
649991414
748671414

prune85.0ms (4.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh101
Picked011
Done000
Total1124116
Error
0b
Counts
116 → 4
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
32.4b
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
31.9b
(*.f64 -1/4 (pow.f64 i 2))
Compiler

Compiled 1861 to 1400 computations (24.8% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
0.1b
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

series10.0ms (0.5%)

Counts
3 → 36
Calls

3 calls:

4.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
3.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
3.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))

rewrite56.0ms (2.7%)

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt_binary64
96×*-un-lft-identity_binary64
96×times-frac_binary64
47×add-cube-cbrt_binary64
30×associate-*r*_binary64
Counts
3 → 167
Calls

3 calls:

24.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
10.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
6.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

simplify134.0ms (6.4%)

Algorithm
egg-herbie
Rules
499×associate-/l*_binary64
456×fma-def_binary64
288×associate-/l/_binary64
277×fma-neg_binary64
200×associate-/r*_binary64
Counts
203 → 242
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02594188
16973891
220913770
346113768
450103768

prune204.0ms (9.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2420242
Fresh022
Picked011
Done011
Total2424246
Error
0b
Counts
246 → 4
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
32.4b
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
31.9b
(*.f64 -1/4 (pow.f64 i 2))
Compiler

Compiled 5814 to 5022 computations (13.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/4 (pow.f64 i 2))

series3.0ms (0.1%)

Counts
1 → 0
Calls

1 calls:

3.0ms
(*.f64 -1/4 (pow.f64 i 2))

rewrite5.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
associate-*r*_binary64
add-exp-log_binary64
unswap-sqr_binary64
unpow-prod-down_binary64
Counts
1 → 29
Calls

1 calls:

4.0ms
(*.f64 -1/4 (pow.f64 i 2))

simplify83.0ms (4%)

Algorithm
egg-herbie
Rules
964×fma-def_binary64
644×unswap-sqr_binary64
397×log-prod_binary64
394×sqr-pow_binary64
337×*-commutative_binary64
Counts
29 → 45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055321
197249
2198239
3636233
41071233
52844233
63957233
74846233
84880233

prune27.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh011
Picked011
Done022
Total45449
Error
0b
Counts
49 → 4
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
32.4b
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
31.9b
(*.f64 -1/4 (pow.f64 i 2))
Compiler

Compiled 508 to 390 computations (23.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1/64 (*.f64 i i))

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 1/64 (*.f64 i i))

rewrite4.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/l*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 23
Calls

1 calls:

3.0ms
(/.f64 1/64 (*.f64 i i))

simplify71.0ms (3.4%)

Algorithm
egg-herbie
Rules
548×unsub-neg_binary64
293×times-frac_binary64
269×associate-/l/_binary64
264×fma-def_binary64
263×*-commutative_binary64
Counts
35 → 30
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050341
189296
2172287
3428287
41577287
52187287
63740287
74455287
85126287

prune19.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New30030
Fresh000
Picked011
Done033
Total30434
Error
0b
Counts
34 → 4
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
32.4b
(+.f64 1/16 (/.f64 1/64 (*.f64 i i)))
31.9b
(*.f64 -1/4 (pow.f64 i 2))
Compiler

Compiled 378 to 266 computations (29.6% saved)

regimes70.0ms (3.4%)

Accuracy

Total 0.1b remaining (95.9%)

Threshold costs 0.1b (95.9%)

Counts
31 → 1
Compiler

Compiled 874 to 685 computations (21.6% saved)

simplify3.0ms (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)

sample971.0ms (46.5%)

Algorithm
intervals
Results
557.0ms8000×body128valid
103.0ms8000×pre128true
Compiler

Compiled 86 to 67 computations (22.1% saved)

Profiling

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