Details

Time bar (total: 2.3s)

analyze13.0ms

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

sample23.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify701.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
048116
148116

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 30.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2.0) 2)
29.1b
(sqrt (* (pow x 2.0) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*r* 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
(* (pow x 2.0) 2)
5.0ms
(sqrt (* (pow x 2.0) 2))

series143.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (pow x 2.0) 2)
83.0ms
(sqrt (* (pow x 2.0) 2))

simplify56.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04905307
14905307

prune88.0ms

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: 16.0b

Counts
42 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt (pow x 2.0)) (sqrt 2))
29.0b
(sqrt (pow x 2.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt unpow-prod-down *-un-lft-identity
8×unswap-sqr
6×associate-*r*
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 (pow x 2.0)) (sqrt 2))
2.0ms
(sqrt (pow x 2.0))

series118.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04882536
14882536

prune120.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh415
Picked101
Done011
Total61869

Merged error: 0.1b

Counts
69 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (fabs (pow x (/ 2.0 2))) (sqrt 2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* (fabs (pow x (/ 2.0 2))) (sqrt 2))

series6.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04943262
14943262

prune66.0ms

Filtered
18 candidates to 25 candidates (-38.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh606
Picked101
Done011
Total27633

Merged error: 0.0b

Counts
33 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (fabs (pow x (* 2.0 1/2))) (sqrt (sqrt 2)))
0.3b
(* (* (fabs (pow x (* 2.0 1/2))) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×associate-*r*
15×add-sqr-sqrt
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×associate-*l* 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 1/2))) (sqrt (sqrt 2)))
9.0ms
(* (* (fabs (pow x (* 2.0 1/2))) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (fabs (pow x (* 2.0 1/2))) (sqrt (sqrt 2)))
5.0ms
(* (* (fabs (pow x (* 2.0 1/2))) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify46.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04884630
14884630

prune89.0ms

Filtered
30 candidates to 56 candidates (-86.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh224
Picked011
Done011
Total57562

Merged error: 0b

Counts
62 → 5

regimes87.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01920
11920

end0.0ms

sample512.0ms

Algorithm
intervals
Results
413.0ms8000×body80valid

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