Details

Time bar (total: 2.1s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (+ x y) (- x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0169288
1510274
21435270
35001270

prune63.0ms

Filtered
48 candidates to 32 candidates (66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh000
Picked011
Done000
Total44549

Merged error: 0b

Counts
49 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
321×*-un-lft-identity
190×times-frac
183×add-sqr-sqrt
160×cbrt-prod
89×add-cube-cbrt
56×distribute-lft-out
51×swap-sqr
47×distribute-lft-out--
35×difference-of-squares
29×associate-*r* associate-*l*
15×associate-/r*
14×associate-/r/
12×add-exp-log associate-/l*
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- flip-- div-inv
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 274
Calls
4 calls:
31.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
7.0ms
(/ (+ x y) (- x y))
7.0ms
(/ (+ x y) (- x y))
7.0ms
(/ (+ x y) (- x y))

series330.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
60.0ms
(/ (+ x y) (- x y))
79.0ms
(/ (+ x y) (- x y))
62.0ms
(/ (+ x y) (- x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03522815
112442735
250012540

prune451.0ms

Filtered
286 candidates to 170 candidates (59.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2860286
Fresh033
Picked011
Done011
Total2865291

Merged error: 0b

Counts
291 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (+ x y) (/ 1 (- x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
8.0ms
(/ 1 (- x y))
12.0ms
(* (+ x y) (/ 1 (- x y)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (- x y))
63.0ms
(* (+ x y) (/ 1 (- x y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0288480
11398418
25001364

prune91.0ms

Filtered
96 candidates to 52 candidates (54.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done022
Total965101

Merged error: 0b

Counts
101 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x y) (- x y))
4.7b
(- (* x x) (* y y))
27.5b
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
19×add-sqr-sqrt
14×flip3-- flip--
10×pow1 add-exp-log add-cbrt-cube
9×add-cube-cbrt
8×frac-times associate-/r/
7×swap-sqr difference-of-squares
6×distribute-lft-out--
5×associate-*r* associate-*l* add-log-exp
4×times-frac associate-*r/ associate-*l/ associate-/l*
3×sub-neg
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/
1×pow2 frac-2neg pow-plus diff-log div-sub pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 92
Calls
3 calls:
9.0ms
(* (- x y) (- x y))
3.0ms
(- (* x x) (* y y))
15.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (- x y) (- x y))
29.0ms
(- (* x x) (* y y))
80.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0384672
12091544
25001512

prune123.0ms

Filtered
101 candidates to 62 candidates (61.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh101
Picked011
Done213
Total1033106

Merged error: 0b

Counts
106 → 3

regimes39.0ms

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
0138
1138

end0.0ms

sample300.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid