Details

Time bar (total: 2.2s)

analyze7.0ms (0.3%)

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)

sample1.5s (67.1%)

Results
1.4s8256×body128valid
Compiler

Compiled 84 to 55 computations (34.5% saved)

simplify56.0ms (2.5%)

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
48.7b
(/.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 (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.8b
(/.f64 1 (*.f64 i i))

series7.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

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

simplify124.0ms (5.5%)

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

prune73.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh101
Picked011
Done000
Total1133116
Error
0b
Counts
116 → 3
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
31.0b
(*.f64 -1/4 (pow.f64 i 2))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
Compiler

Compiled 1845 to 1388 computations (24.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series16.0ms (0.7%)

Counts
2 → 24
Calls

2 calls:

13.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
3.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity_binary64
53×add-sqr-sqrt_binary64
47×times-frac_binary64
25×add-cube-cbrt_binary64
13×associate-/r*_binary64
Counts
2 → 90
Calls

2 calls:

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

simplify95.0ms (4.3%)

Algorithm
egg-herbie
Rules
732×fma-neg_binary64
618×cancel-sign-sub-inv_binary64
323×sub-neg_binary64
285×fma-def_binary64
257×times-frac_binary64
Counts
114 → 117
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01691963
13721859
28861847
321351840
443521834
549351834

prune89.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done011
Total1173120
Error
0b
Counts
120 → 3
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
31.0b
(*.f64 -1/4 (pow.f64 i 2))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
Compiler

Compiled 2701 to 2329 computations (13.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.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 (0.2%)

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))

simplify76.0ms (3.4%)

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

prune24.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done022
Total45348
Error
0b
Counts
48 → 3
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
31.0b
(*.f64 -1/4 (pow.f64 i 2))
0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
Compiler

Compiled 492 to 378 computations (23.2% saved)

regimes52.0ms (2.3%)

Accuracy

Total 0.1b remaining (93.9%)

Threshold costs 0.1b (93.9%)

Counts
25 → 1
Compiler

Compiled 722 to 553 computations (23.4% 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

end55.0ms (2.5%)

Compiler

Compiled 64 to 55 computations (14.1% saved)

Profiling

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