Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (+ x y) (- x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune90.0ms

Filtered
48 candidates to 32 candidates (33.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449

Merged error: 0b

Counts
49 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (+ x y) (- x y)))
0.0b
(cbrt (/ (+ x y) (- x y)))
0.0b
(cbrt (/ (+ x y) (- x y)))
0.0b
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×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 → 244
Calls
4 calls:
6.0ms
(cbrt (/ (+ x y) (- x y)))
6.0ms
(cbrt (/ (+ x y) (- x y)))
6.0ms
(cbrt (/ (+ x y) (- x y)))
28.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (/ (+ x y) (- x y)))
31.0ms
(cbrt (/ (+ x y) (- x y)))
29.0ms
(cbrt (/ (+ x y) (- x y)))
26.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

simplify59.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02892862
110202793
250012665

prune1.3s

Filtered
256 candidates to 155 candidates (39.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2560256
Fresh022
Picked011
Done011
Total2564260

Merged error: 0b

Counts
260 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (+ x y) (/ 1 (- x y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
7.0ms
(/ 1 (- x y))
12.0ms
(* (+ x y) (/ 1 (- x y)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (- x y))
8.0ms
(* (+ x y) (/ 1 (- x y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0288478
11398416
25001362

prune145.0ms

Filtered
96 candidates to 51 candidates (46.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done022
Total964100

Merged error: 0b

Counts
100 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.2b
(/ (sqrt (+ x y)) (- x y))
0.2b
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
94×add-sqr-sqrt
74×times-frac
61×sqrt-prod
46×add-cube-cbrt
41×associate-*r*
15×distribute-lft-out-- difference-of-squares
14×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1
7×associate-*l* associate-/l*
6×unswap-sqr
5×flip3-+ associate-/r* flip-+
4×associate-/r/ add-log-exp
2×cbrt-undiv frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 167
Calls
4 calls:
3.0ms
(sqrt (+ x y))
3.0ms
(sqrt (+ x y))
9.0ms
(/ (sqrt (+ x y)) (- x y))
19.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ x y))
6.0ms
(sqrt (+ x y))
12.0ms
(/ (sqrt (+ x y)) (- x y))
12.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04151369
117361255
250011190

prune563.0ms

Filtered
179 candidates to 108 candidates (39.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1790179
Fresh000
Picked011
Done033
Total1794183

Merged error: 0b

Counts
183 → 4

regimes112.0ms

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

sample356.0ms

Algorithm
intervals
Results
160.0ms8000×body80valid

Profiling

Loading profile data...