Details

Time bar (total: 1.5s)

analyze37.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
59.3%40.6%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
07817
17817

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
7.0ms
(/ (- x y) (+ x y))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (- x y) (+ x y))

simplify33.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05063538

prune42.0ms

Filtered
33 candidates to 49 candidates (-48.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450

Merged error: 0b

Counts
50 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls
4 calls:
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (- x y))
6.0ms
(cbrt (- x y))
6.0ms
(cbrt (- x y))

series131.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ x y))
28.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))
47.0ms
(cbrt (- x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04869563
14869563

prune88.0ms

Filtered
55 candidates to 71 candidates (-29.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done011
Total71475

Merged error: 0b

Counts
75 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
13.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series115.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
30.0ms
(cbrt (- x y))
28.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049671021
149671021

prune99.0ms

Filtered
77 candidates to 113 candidates (-46.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done022
Total1134117

Merged error: 0b

Counts
117 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt x) (sqrt y))
0.0b
(- (sqrt x) (sqrt y))
0.1b
(* (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (+ x y)))
0.1b
(/ (- (sqrt x) (sqrt y)) (+ x y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
120×*-un-lft-identity
119×add-sqr-sqrt
73×times-frac
64×sqrt-prod
42×associate-*r*
40×difference-of-squares
34×add-cube-cbrt
23×distribute-lft-out
20×distribute-lft-out--
11×add-exp-log add-cbrt-cube
9×associate-/l*
8×add-log-exp
6×pow1
5×flip3-+ associate-*l* flip-+
4×associate-/r* associate-/r/
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 163
Calls
4 calls:
5.0ms
(+ (sqrt x) (sqrt y))
6.0ms
(- (sqrt x) (sqrt y))
23.0ms
(* (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (+ x y)))
10.0ms
(/ (- (sqrt x) (sqrt y)) (+ x y))

series58.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (sqrt x) (sqrt y))
8.0ms
(- (sqrt x) (sqrt y))
29.0ms
(* (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (+ x y)))
15.0ms
(/ (- (sqrt x) (sqrt y)) (+ x y))

simplify37.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
054612381

prune103.0ms

Filtered
102 candidates to 175 candidates (-71.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1750175
Fresh000
Picked011
Done033
Total1754179

Merged error: 0b

Counts
179 → 4

regimes107.0ms

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
0167
1167

end0.0ms

sample291.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid

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