Details

Time bar (total: 3.7s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
11.0ms
(/ (- x y) (- 2.0 (+ x y)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify130.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0283498
1886475
24321474
35001474

prune108.0ms

Filtered
63 candidates to 40 candidates (63.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58563
Fresh000
Picked011
Done000
Total58664

Merged error: 0b

Counts
64 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 2.0 (+ x y)) (- x y))
0.1b
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
292×*-un-lft-identity
258×times-frac
214×add-sqr-sqrt
100×add-cube-cbrt
83×distribute-lft-out--
57×difference-of-squares
41×associate-/r*
26×distribute-lft-out
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 230
Calls
2 calls:
11.0ms
(/ (- 2.0 (+ x y)) (- x y))
16.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(/ (- 2.0 (+ x y)) (- x y))
56.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify97.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06582336
131502130
250011941

prune231.0ms

Filtered
236 candidates to 95 candidates (40.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2351236
Fresh134
Picked011
Done011
Total2366242

Merged error: 0b

Counts
242 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x y))
0.0b
(/ 1 (- 2.0 (+ x y)))
0.1b
(/ (/ 1 (- 2.0 (+ x y))) (/ 1 (- x y)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
1308×times-frac
977×*-un-lft-identity
767×add-sqr-sqrt
469×add-cube-cbrt
219×distribute-lft-out--
149×difference-of-squares
99×associate-/r/
70×distribute-lft-out
51×add-exp-log
50×div-inv
49×flip3-- flip--
36×div-exp
32×associate-/r*
30×associate-/l*
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 673
Calls
3 calls:
6.0ms
(/ 1 (- x y))
8.0ms
(/ 1 (- 2.0 (+ x y)))
28.0ms
(/ (/ 1 (- 2.0 (+ x y))) (/ 1 (- x y)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 1 (- x y))
38.0ms
(/ 1 (- 2.0 (+ x y)))
62.0ms
(/ (/ 1 (- 2.0 (+ x y))) (/ 1 (- x y)))

simplify149.0ms

Algorithm
egg-herbie
Counts
682 → 682
Iterations

Useful iterations: 1 (52.0ms)

IterNodesCost
022409281
150038933

prune1.0s

Filtered
682 candidates to 356 candidates (52.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6820682
Fresh033
Picked011
Done022
Total6826688

Merged error: 0b

Counts
688 → 6

localize9.0ms

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))

rewrite23.0ms

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×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 → 109
Calls
4 calls:
11.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series563.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
150.0ms
(cbrt (- x y))
141.0ms
(cbrt (- x y))
150.0ms
(cbrt (- x y))

simplify158.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
0270790
1950753
24639700
35001694

prune265.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done033
Total1216127

Merged error: 0b

Counts
127 → 6

regimes62.0ms

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
084
184

end0.0ms

sample286.0ms

Algorithm
intervals
Results
164.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid