Details

Time bar (total: 2.1s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

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: 16.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

15.7b
(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
8.0ms
(/ (* (* x 2.0) y) (- x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (* (* x 2.0) y) (- x y))

simplify33.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0211184
11144151
25002151

prune45.0ms

Filtered
32 candidates to 21 candidates (65.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
6.0b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
54×cbrt-prod *-un-lft-identity
47×add-exp-log
38×associate-*r*
32×add-cbrt-cube
30×add-cube-cbrt cbrt-div
27×times-frac
21×associate-*l*
19×prod-exp cbrt-unprod
15×flip3-- flip--
13×pow1 cbrt-undiv div-exp
11×distribute-lft-out--
10×swap-sqr associate-/r/
9×frac-times difference-of-squares
8×pow1/3
7×unswap-sqr
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 164
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
10.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
25.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- x y))
137.0ms
(cbrt (- x y))
118.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
59.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify121.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
07461779
143031557
250011413

prune305.0ms

Filtered
176 candidates to 116 candidates (65.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh022
Picked011
Done011
Total1764180

Merged error: 0b

Counts
180 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.8b
(* (* x 2.0) (/ y (- x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×flip3-- flip-- div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ y (- x y))
9.0ms
(* (* x 2.0) (/ y (- x y)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ y (- x y))
62.0ms
(* (* x 2.0) (/ y (- x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0310435
11657385
25001385

prune101.0ms

Filtered
84 candidates to 54 candidates (64.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done022
Total84488

Merged error: 0b

Counts
88 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
7.8b
(/ (* x 2.0) (/ (- x y) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 96
Calls
2 calls:
5.0ms
(/ (- x y) y)
12.0ms
(/ (* x 2.0) (/ (- x y) y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (- x y) y)
60.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify52.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0386605
11911547
25002547

prune130.0ms

Filtered
102 candidates to 71 candidates (69.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done033
Total1024106

Merged error: 0b

Counts
106 → 4

regimes83.0ms

Accuracy

85.5% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 7.8b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02736
13036
23624
33924
44524
55624
66324
76424
86424

end0.0ms

sample329.0ms

Algorithm
intervals
Results
202.0ms8000×body80valid

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