Details

Time bar (total: 1.1s)

analyze23.0ms

Algorithm
search

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune6.0ms

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))

series8.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune43.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449

Merged error: 0.0b

Counts
49 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (- x y))
0.0b
(cbrt (pow (/ (+ x y) (- x y)) 3))
0.1b
(pow (/ (+ x y) (- x y)) 3)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
7.0ms
(/ (+ x y) (- x y))
10.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
9.0ms
(pow (/ (+ x y) (- x y)) 3)

series34.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (+ x y) (- x y))
14.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
12.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify62.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04821409
121281316
250011298

prune114.0ms

Filtered
85 candidates to 194 candidates (-128.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh022
Picked011
Done011
Total1944198

Merged error: 0.0b

Counts
198 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
5.0ms
(/ 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)))

simplify37.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0288478
11398416
25001362

prune58.0ms

Filtered
50 candidates to 96 candidates (-92.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done022
Total964100

Merged error: 0.0b

Counts
100 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x y) (- x y))
4.6b
(- (* x x) (* y y))
31.1b
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
19×add-sqr-sqrt
14×flip3-- flip--
10×pow1 add-exp-log add-cbrt-cube
9×add-cube-cbrt
8×frac-times associate-/r/
7×swap-sqr difference-of-squares
6×distribute-lft-out--
5×associate-*r* associate-*l* add-log-exp
4×times-frac associate-*r/ associate-*l/ associate-/l*
3×sub-neg
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/
1×pow2 frac-2neg pow-plus diff-log div-sub pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 92
Calls
3 calls:
8.0ms
(* (- x y) (- x y))
3.0ms
(- (* x x) (* y y))
11.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

series20.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (- x y) (- x y))
5.0ms
(- (* x x) (* y y))
11.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0384672
12091544
25001512

prune71.0ms

Filtered
61 candidates to 101 candidates (-65.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1001101
Fresh000
Picked011
Done033
Total1005105

Merged error: 0.0b

Counts
105 → 5

regimes117.0ms

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

analyze22.0ms

Algorithm
search

sample280.0ms

Algorithm
intervals
Results
166.0ms8000×body80valid

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