Details

Time bar (total: 1.6s)

analyze75.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14

sample170.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
026910
126910

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (*.f64 x y) (-.f64 1 y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
sub-neg_binary64 associate-*r/_binary64 add-cube-cbrt_binary64 difference-of-squares_binary64
add-log-exp_binary64 flip3--_binary64 distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 distribute-lft-out--_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 25
Calls
1 calls:
10.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))

simplify73.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04985312
14985312

prune24.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New23528
Fresh000
Picked101
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
0.1b
(*.f64 (*.f64 x y) (neg.f64 y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64 prod-exp_binary64
distribute-rgt-neg-out_binary64
flip3-+_binary64 neg-mul-1_binary64 associate-*l*_binary64 +-commutative_binary64 flip-+_binary64 unsub-neg_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 38
Calls
2 calls:
4.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
6.0ms
(*.f64 (*.f64 x y) (neg.f64 y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
29.0ms
(*.f64 (*.f64 x y) (neg.f64 y))

simplify110.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
04932495
14932495

prune21.0ms

Filtered
28 candidates to 44 candidates (-57.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44044
Fresh044
Picked011
Done000
Total44549

Merged error: 0.0b

Counts
49 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 y (*.f64 y y))
5.0b
(*.f64 x (-.f64 y (*.f64 y y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
associate-*r*_binary64
add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sub-neg_binary64 associate-*l*_binary64
flip3--_binary64 distribute-rgt-out--_binary64 associate-*r/_binary64 difference-of-squares_binary64 flip--_binary64
pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
2 → 37
Calls
2 calls:
3.0ms
(-.f64 y (*.f64 y y))
7.0ms
(*.f64 x (-.f64 y (*.f64 y y)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(-.f64 y (*.f64 y y))
51.0ms
(*.f64 x (-.f64 y (*.f64 y y)))

simplify93.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04941497
14941497

prune25.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New42143
Fresh033
Picked011
Done011
Total42648

Merged error: 0.0b

Counts
48 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
0.1b
(*.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r*_binary64
16×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
14×sqrt-div_binary64
12×*-un-lft-identity_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
10×associate-*r/_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
flip3--_binary64 flip--_binary64
add-cube-cbrt_binary64
difference-of-squares_binary64 frac-times_binary64
add-log-exp_binary64 associate-*l*_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 61
Calls
2 calls:
19.0ms
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
10.0ms
(*.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
59.0ms
(*.f64 (*.f64 x y) (sqrt.f64 (-.f64 1 y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051531088

prune44.0ms

Filtered
39 candidates to 67 candidates (-71.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh033
Picked101
Done022
Total67673

Merged error: 0b

Counts
73 → 6

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04413
14413

end0.0ms

sample408.0ms

Algorithm
intervals
Results
235.0ms8000×body80valid
5.0ms171×body80invalid

Profiling

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