Details

Time bar (total: 2.0s)

analyze3.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
9.0ms256×pre80true
6.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1393
2653
3703
4703

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
5.0ms
(+ (+ b c) d)
8.0ms
(* a (+ (+ b c) d))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (+ b c) d)
8.0ms
(* a (+ (+ b c) d))

simplify31.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177179
1861160
25001160

prune49.0ms

Filtered
28 candidates to 45 candidates (-60.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New41445
Fresh000
Picked011
Done000
Total41546

Merged error: 0.0b

Counts
46 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
6.0ms
(* a (+ b c))
6.0ms
(+ (* a (+ b c)) (* a d))

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* a (+ b c))
9.0ms
(+ (* a (+ b c)) (* a d))

simplify40.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0213177
1995159
25002156

prune51.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New42143
Fresh033
Picked011
Done011
Total42648

Merged error: 0b

Counts
48 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.5b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ associate-*r* flip-+
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 107
Calls
4 calls:
8.0ms
(* a (+ (+ b c) d))
6.0ms
(sqrt (* a (+ (+ b c) d)))
6.0ms
(sqrt (* a (+ (+ b c) d)))
17.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series137.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* a (+ (+ b c) d))
60.0ms
(sqrt (* a (+ (+ b c) d)))
60.0ms
(sqrt (* a (+ (+ b c) d)))
9.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify68.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0335702
11829643
25001621

prune95.0ms

Filtered
69 candidates to 119 candidates (-72.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh033
Picked011
Done022
Total1196125

Merged error: 0b

Counts
125 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ b c) d)
0.3b
(* (sqrt a) (+ (+ b c) d))
0.4b
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
7×sqrt-prod
6×associate-*r/ associate-*r* distribute-lft-out
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-+ sum-log flip-+
2×*-commutative unswap-sqr
1×+-commutative associate-+l+
Counts
3 → 70
Calls
3 calls:
5.0ms
(+ (+ b c) d)
9.0ms
(* (sqrt a) (+ (+ b c) d))
12.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (+ b c) d)
21.0ms
(* (sqrt a) (+ (+ b c) d))
18.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify46.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0292412
11429354
25002354

prune56.0ms

Filtered
49 candidates to 79 candidates (-61.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New79079
Fresh022
Picked011
Done033
Total79685

Merged error: 0b

Counts
85 → 6

regimes459.0ms

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
0103
1103

end0.0ms

analyze2.0ms

Algorithm
search

sample670.0ms

Algorithm
intervals
Results
306.0ms8000×pre80true
192.0ms8000×body80valid

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