Details

Time bar (total: 2.5s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune1.0ms

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

localize6.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (+ x y) (- x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune74.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47350
Fresh000
Picked011
Done000
Total47451

Merged error: 0b

Counts
51 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite13.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 67
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series547.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (+ x y))
139.0ms
(cbrt (- x y))
137.0ms
(cbrt (- x y))
151.0ms
(cbrt (- x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0228432
1564411
21844400
35001385

prune242.0ms

Filtered
79 candidates to 71 candidates (89.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh022
Picked011
Done011
Total79483

Merged error: 0b

Counts
83 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (/ 1 (- x y)) (+ 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-*l*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 95
Calls
2 calls:
5.0ms
(/ 1 (- x y))
15.0ms
(* (/ 1 (- x y)) (+ x y))

series98.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 1 (- x y))
59.0ms
(* (/ 1 (- x y)) (+ x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0412498
11980433
25001396

prune137.0ms

Filtered
101 candidates to 61 candidates (60.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1001101
Fresh101
Picked011
Done022
Total1014105

Merged error: 0b

Counts
105 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ 1 (- x y)))
0.1b
(sqrt (/ 1 (- x y)))
0.1b
(* (* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y)))) (+ x y))
0.3b
(* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
168×sqrt-prod
156×add-sqr-sqrt
135×*-un-lft-identity
122×times-frac
67×add-cube-cbrt
36×pow1
34×swap-sqr
30×sqrt-pow1
28×associate-*r*
25×associate-*l*
24×distribute-lft-out--
18×sqrt-div difference-of-squares
17×unswap-sqr
12×associate-/r/
11×add-exp-log add-cbrt-cube
10×frac-times pow-flip pow1/2 inv-pow
9×pow-prod-up
8×pow-prod-down div-inv
7×associate-*l/
6×rem-sqrt-square flip3-- associate-*r/ flip--
5×pow-sqr
4×expm1-log1p-u flip3-+ prod-exp cbrt-unprod flip-+ log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 247
Calls
4 calls:
5.0ms
(sqrt (/ 1 (- x y)))
5.0ms
(sqrt (/ 1 (- x y)))
23.0ms
(* (* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y)))) (+ x y))
23.0ms
(* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (/ 1 (- x y)))
73.0ms
(sqrt (/ 1 (- x y)))
65.0ms
(* (* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y)))) (+ x y))
33.0ms
(* (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y))))

simplify96.0ms

Algorithm
egg-herbie
Counts
259 → 259
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05681819
129611483
250021351

prune361.0ms

Filtered
259 candidates to 135 candidates (52.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2590259
Fresh000
Picked011
Done033
Total2594263

Merged error: 0b

Counts
263 → 4

regimes44.0ms

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
063
163

end0.0ms

sample280.0ms

Algorithm
intervals
Results
152.0ms8000×body80valid