Details

Time bar (total: 1.9s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1

sample24.0ms

Algorithm
intervals
Results
9.0ms256×pre80true
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0427
1427

prune6.0ms

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: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* a (+ (+ b c) d))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* a (+ (+ b c) d))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* a (+ (+ b c) d))

simplify46.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05151212

prune40.0ms

Filtered
20 candidates to 27 candidates (-35.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428

Merged error: 0.0b

Counts
28 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* a (+ b c))
0.0b
(+ (* a (+ b c)) (* a d))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
5.0ms
(* a (+ b c))
6.0ms
(+ (* a (+ b c)) (* a d))

series18.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* a (+ b c))
9.0ms
(+ (* a (+ b c)) (* a d))

simplify31.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05141319

prune46.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New42143
Fresh022
Picked011
Done011
Total42547

Merged error: 0b

Counts
47 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ b (+ c d)))
0.2b
(* a (sqrt (+ b (+ c d))))
0.3b
(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ (+ b c) d)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
5.0ms
(sqrt (+ (+ b c) d))
5.0ms
(sqrt (+ b (+ c d)))
8.0ms
(* a (sqrt (+ b (+ c d))))
14.0ms
(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ (+ b c) d)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (+ (+ b c) d))
9.0ms
(sqrt (+ b (+ c d)))
18.0ms
(* a (sqrt (+ b (+ c d))))
42.0ms
(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ (+ b c) d)))

simplify34.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050651150

prune93.0ms

Filtered
71 candidates to 103 candidates (-45.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh022
Picked011
Done022
Total1035108

Merged error: 0b

Counts
108 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ b (+ c d)))
0.4b
(* (sqrt a) (sqrt (+ b (+ c d))))
0.4b
(* (sqrt a) (sqrt (+ b (+ c d))))
0.5b
(* (* (sqrt a) (sqrt (+ b (+ c d)))) (* (sqrt a) (sqrt (+ b (+ c d)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
68×pow1
41×pow-prod-down
30×add-sqr-sqrt
29×sqrt-prod
28×*-un-lft-identity
21×sqrt-pow1 pow1/2
20×add-exp-log add-cbrt-cube
18×sqrt-div associate-*r/
17×associate-*r*
13×add-cube-cbrt associate-*l*
10×prod-exp cbrt-unprod
9×flip3-+ flip-+ distribute-lft-out
8×pow-prod-up unswap-sqr
7×sqrt-unprod
6×pow-sqr
4×frac-times add-log-exp
3×*-commutative
2×pow-plus associate-*l/
1×pow2 rem-sqrt-square swap-sqr rem-square-sqrt
Counts
4 → 137
Calls
4 calls:
5.0ms
(sqrt (+ b (+ c d)))
9.0ms
(* (sqrt a) (sqrt (+ b (+ c d))))
9.0ms
(* (sqrt a) (sqrt (+ b (+ c d))))
18.0ms
(* (* (sqrt a) (sqrt (+ b (+ c d)))) (* (sqrt a) (sqrt (+ b (+ c d)))))

series118.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (+ b (+ c d)))
46.0ms
(* (sqrt a) (sqrt (+ b (+ c d))))
47.0ms
(* (sqrt a) (sqrt (+ b (+ c d))))
15.0ms
(* (* (sqrt a) (sqrt (+ b (+ c d)))) (* (sqrt a) (sqrt (+ b (+ c d)))))

simplify27.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
049861511
149861511

prune94.0ms

Filtered
84 candidates to 149 candidates (-77.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1490149
Fresh011
Picked011
Done033
Total1495154

Merged error: 0b

Counts
154 → 5

regimes422.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1

sample658.0ms

Algorithm
intervals
Results
302.0ms8000×pre80true
185.0ms8000×body80valid

Profiling

Loading profile data...