Details

Time bar (total: 2.3s)

analyze12.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify629.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
056
1106
2196
3446
41046
52786
67516
719536
820726
924586
1034496
1149426
1250706

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 2.0))
29.5b
(sqrt (* 2.0 (pow x 2.0)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*l* prod-exp unswap-sqr
2×add-log-exp sqr-pow
1×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-prod *-commutative cbrt-unprod
Counts
2 → 35
Calls
2 calls:
5.0ms
(* 2.0 (pow x 2.0))
5.0ms
(sqrt (* 2.0 (pow x 2.0)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* 2.0 (pow x 2.0))
89.0ms
(sqrt (* 2.0 (pow x 2.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 4 (50.0ms)

IterNodesCost
099361
1218331
2596313
31588311
43069308
54439308
65153308

prune85.0ms

Filtered
32 candidates to 41 candidates (-28.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New35641
Fresh000
Picked011
Done000
Total35742

Merged error: 16.2b

Counts
42 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b
(* (sqrt 2.0) (sqrt (pow x 2.0)))
29.5b
(sqrt (pow x 2.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt unpow-prod-down *-un-lft-identity
8×unswap-sqr
6×associate-*l*
5×sqr-pow
4×pow1 add-exp-log add-cbrt-cube
3×rem-sqrt-square pow1/2
2×pow-prod-down add-log-exp
1×sqrt-pow1 sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
2 → 56
Calls
2 calls:
7.0ms
(* (sqrt 2.0) (sqrt (pow x 2.0)))
2.0ms
(sqrt (pow x 2.0))

series119.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (sqrt 2.0) (sqrt (pow x 2.0)))
57.0ms
(sqrt (pow x 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 4 (49.0ms)

IterNodesCost
099583
1202562
2500541
31069540
42366532
54036532
65499532

prune116.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New57562
Fresh415
Picked101
Done011
Total62769

Merged error: 0.2b

Counts
69 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*l*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*r* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
4.0ms
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (sqrt 2.0) (fabs (pow x (/ 2.0 2))))

simplify147.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (143.0ms)

IterNodesCost
042293
179265
2200265
3308265
4560265
51130265
62435265
74871265
85083265

prune66.0ms

Filtered
16 candidates to 25 candidates (-56.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New19625
Fresh505
Picked011
Done011
Total24832

Merged error: 0.0b

Counts
32 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (fabs (pow x (/ 2.0 2))) (sqrt (sqrt 2.0)))
0.3b
(* (sqrt (sqrt 2.0)) (* (fabs (pow x (/ 2.0 2))) (sqrt (sqrt 2.0))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
15×add-sqr-sqrt
12×associate-*l*
10×associate-*r*
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow-prod-down prod-exp cbrt-unprod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 50
Calls
2 calls:
6.0ms
(* (fabs (pow x (/ 2.0 2))) (sqrt (sqrt 2.0)))
8.0ms
(* (sqrt (sqrt 2.0)) (* (fabs (pow x (/ 2.0 2))) (sqrt (sqrt 2.0))))

series14.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (fabs (pow x (/ 2.0 2))) (sqrt (sqrt 2.0)))
5.0ms
(* (sqrt (sqrt 2.0)) (* (fabs (pow x (/ 2.0 2))) (sqrt (sqrt 2.0))))

simplify75.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 6 (69.0ms)

IterNodesCost
074806
1145637
2374637
3626637
4804637
51282637
63264630
74861630
85016630

prune99.0ms

Filtered
35 candidates to 56 candidates (-60.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New54256
Fresh415
Picked011
Done022
Total58664

Merged error: 0b

Counts
64 → 6

regimes178.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01220
11520
21520

end0.0ms

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample400.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid

Profiling

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