Details

Time bar (total: 3.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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 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:
8.0ms
(/ (+ x y) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (- x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune74.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New46450
Fresh000
Picked011
Done000
Total46551

Merged error: 0b

Counts
51 → 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))

rewrite72.0ms

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×expm1-log1p-u cbrt-div log1p-expm1-u 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 → 282
Calls
4 calls:
30.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
8.0ms
(/ (+ x y) (- x y))
11.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))

series335.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
65.0ms
(/ (+ x y) (- x y))
65.0ms
(/ (+ x y) (- x y))
70.0ms
(/ (+ x y) (- x y))

simplify73.0ms

Algorithm
egg-herbie
Counts
294 → 294
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03612859
112682779
250012584

prune493.0ms

Filtered
294 candidates to 178 candidates (60.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2940294
Fresh033
Picked011
Done011
Total2945299

Merged error: 0b

Counts
299 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
9.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series553.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
131.0ms
(cbrt (+ x y))
126.0ms
(cbrt (+ x y))
130.0ms
(cbrt (+ x y))

simplify147.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0255701
1926660
24357610
35001610

prune230.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done022
Total1155120

Merged error: 0b

Counts
120 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
0.3b
(/ (+ x y) (sqrt (- x y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
624×times-frac
574×*-un-lft-identity
412×add-sqr-sqrt
400×sqrt-prod
252×add-cube-cbrt
81×distribute-lft-out
80×distribute-lft-out-- difference-of-squares
42×associate-/l*
22×sqrt-div associate-/r/
16×associate-/r*
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
3×associate-/l/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×flip3-+ flip-+
Counts
2 → 431
Calls
2 calls:
22.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
9.0ms
(/ (+ x y) (sqrt (- x y)))

series218.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
156.0ms
(/ (+ x y) (sqrt (- x y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
437 → 437
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
08966330
132885663
250025644

prune425.0ms

Filtered
437 candidates to 149 candidates (34.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4370437
Fresh011
Picked011
Done033
Total4375442

Merged error: 0b

Counts
442 → 5

regimes58.0ms

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

sample279.0ms

Algorithm
intervals
Results
153.0ms8000×body80valid