Details

Time bar (total: 2.6s)

analyze34.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune3.0ms

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)))

rewrite12.0ms

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 frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
9.0ms
(/ (- x y) (- 2.0 (+ x y)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify129.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0275489
1853468
24104466
35001466

prune73.0ms

Filtered
38 candidates to 61 candidates (-60.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New57461
Fresh000
Picked101
Done000
Total58462

Merged error: 0b

Counts
62 → 4

localize7.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 226
Calls
2 calls:
10.0ms
(/ (- 2.0 (+ x y)) (- x y))
17.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (- 2.0 (+ x y)) (- x y))
8.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify97.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06452312
131022111
250011924

prune147.0ms

Filtered
92 candidates to 232 candidates (-152.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2320232
Fresh033
Picked011
Done000
Total2324236

Merged error: 0b

Counts
236 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.1b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.1b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.1b
(cbrt (/ (- x y) (- 2.0 (+ x y))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
651×*-un-lft-identity
372×cbrt-prod
324×times-frac
318×add-sqr-sqrt
212×distribute-lft-out--
108×add-cube-cbrt
93×swap-sqr difference-of-squares
67×distribute-lft-out
39×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
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 → 336
Calls
4 calls:
47.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
19.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
19.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
20.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify101.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05054981
116774880
250014600

prune521.0ms

Filtered
176 candidates to 348 candidates (-97.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3480348
Fresh022
Picked011
Done011
Total3484352

Merged error: 0b

Counts
352 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (- x y) (- 2.0 (+ x y))))
0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.1b
(* (sqrt (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
667×*-un-lft-identity
335×add-sqr-sqrt
325×times-frac
302×sqrt-prod
218×distribute-lft-out--
110×add-cube-cbrt
97×difference-of-squares
95×swap-sqr
69×distribute-lft-out
39×associate-*r* associate-*l*
20×pow1
14×associate-/r/
12×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- sqrt-pow1 pow1/2 flip-- unswap-sqr
7×div-inv
5×sqrt-div pow-prod-up
4×associate-/l/ add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg div-sub div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 374
Calls
4 calls:
10.0ms
(sqrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(/ (- x y) (- 2.0 (+ x y)))
9.0ms
(/ (- x y) (- 2.0 (+ x y)))
45.0ms
(* (sqrt (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))))

series75.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (/ (- x y) (- 2.0 (+ x y))))
7.0ms
(/ (- x y) (- 2.0 (+ x y)))
8.0ms
(/ (- x y) (- 2.0 (+ x y)))
8.0ms
(* (sqrt (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))))

simplify118.0ms

Algorithm
egg-herbie
Counts
386 → 386
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06263513
128273354
250033321

prune384.0ms

Filtered
187 candidates to 386 candidates (-106.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3860386
Fresh011
Picked011
Done022
Total3864390

Merged error: 0b

Counts
390 → 4

regimes158.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

analyze35.0ms

Algorithm
search

sample324.0ms

Algorithm
intervals
Results
202.0ms7996×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

Profiling

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