Details

Time bar (total: 1.1s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
095
195

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
4.0ms
(* (* x 3.0) x)

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* (* x 3.0) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05188121

prune31.0ms

Filtered
11 candidates to 21 candidates (-90.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.1b

Counts
22 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.4b
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
19.9b
(sqrt (* x (* x 3.0)))
19.9b
(sqrt (* x (* x 3.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
7.0ms
(* x (* x 3.0))
11.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
3.0ms
(sqrt (* x (* x 3.0)))
3.0ms
(sqrt (* x (* x 3.0)))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* x 3.0))
7.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
3.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05385524

prune132.0ms

Filtered
54 candidates to 120 candidates (-122.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1137120
Fresh314
Picked101
Done011
Total1179126

Merged error: 0b

Counts
126 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.4b
(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
19.9b
(sqrt (* x (* x 3.0)))
19.9b
(sqrt (* (* x x) 3.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
38×pow-prod-down
24×sqrt-pow1
11×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*l*
5×associate-*r*
4×pow1/2 prod-exp sqrt-prod cbrt-unprod add-log-exp
2×*-commutative
1×sqrt-unprod unswap-sqr
Counts
4 → 73
Calls
4 calls:
6.0ms
(* x (* x 3.0))
11.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
3.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* (* x x) 3.0))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* x 3.0))
7.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* (* x x) 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* (* x x) 3.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04983487
14983487

prune118.0ms

Filtered
51 candidates to 85 candidates (-66.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done011
Total85994

Merged error: 0b

Counts
94 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (sqrt 3.0))
0.4b
(* (sqrt (* x (* x 3.0))) (* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0))))))
0.5b
(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
19.9b
(sqrt (* x (* x 3.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
33×add-sqr-sqrt
24×sqrt-prod
21×pow-prod-down
20×sqrt-pow1
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
12×pow1/2
8×swap-sqr
7×unswap-sqr
5×prod-exp pow-prod-up cbrt-unprod
4×add-log-exp
3×sqrt-unprod pow-sqr *-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 108
Calls
4 calls:
5.0ms
(* x (sqrt 3.0))
12.0ms
(* (sqrt (* x (* x 3.0))) (* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0))))))
6.0ms
(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
3.0ms
(sqrt (* x (* x 3.0)))

series18.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (sqrt 3.0))
7.0ms
(* (sqrt (* x (* x 3.0))) (* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0))))))
1.0ms
(* (sqrt (fabs (* x (sqrt 3.0)))) (sqrt (fabs (* x (sqrt 3.0)))))
4.0ms
(sqrt (* x (* x 3.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04955738
14955738

prune164.0ms

Filtered
62 candidates to 120 candidates (-93.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh066
Picked011
Done022
Total1209129

Merged error: 0b

Counts
129 → 9

regimes96.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample210.0ms

Algorithm
intervals
Results
127.0ms8000×body80valid

Profiling

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