Details

Time bar (total: 2.2s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×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

Filtered
1 candidates to 0 candidates (100.0%)
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))

rewrite15.0ms

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:
6.0ms
(+ (+ b c) d)
8.0ms
(* a (+ (+ b c) d))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (+ b c) d)
9.0ms
(* a (+ (+ b c) d))

simplify31.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177179
1861160
25001160

prune51.0ms

Filtered
45 candidates to 28 candidates (37.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New40545
Fresh000
Picked101
Done000
Total41546

Merged error: 0b

Counts
46 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

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

series16.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0213177
1995159
25001156

prune50.0ms

Filtered
43 candidates to 30 candidates (30.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh224
Picked011
Done000
Total44448

Merged error: 0b

Counts
48 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*r*
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 82
Calls
4 calls:
3.0ms
(sqrt (+ b c))
11.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
7.0ms
(* a (sqrt (+ b c)))
11.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ b c))
19.0ms
(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
16.0ms
(* a (sqrt (+ b c)))
14.0ms
(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify67.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0467647
12275555
25001536

prune86.0ms

Filtered
94 candidates to 64 candidates (31.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done011
Total94498

Merged error: 0b

Counts
98 → 4

localize11.0ms

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)))
18.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series141.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* a (+ (+ b c) d))
60.0ms
(sqrt (* a (+ (+ b c) d)))
64.0ms
(sqrt (* a (+ (+ b c) d)))
9.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify66.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0335702
11829643
25001621

prune83.0ms

Filtered
119 candidates to 71 candidates (40.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done022
Total1194123

Merged error: 0b

Counts
123 → 4

regimes432.0ms

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
0124
1124

end0.0ms

sample845.0ms

Algorithm
intervals
Results
308.0ms8000×pre80true
191.0ms8000×body80valid

Profiling

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