Details

Time bar (total: 2.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

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: 0.0b

Counts
2 → 1

localize7.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
8.0ms
(/ (+ x y) (- x y))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (+ x y) (- x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune78.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New45550
Fresh000
Picked101
Done000
Total46551

Merged error: 0b

Counts
51 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
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×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
14.0ms
(/ 1 (/ (- x y) (+ x y)))
8.0ms
(/ (- x y) (+ x y))

series122.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 1 (/ (- x y) (+ x y)))
59.0ms
(/ (- x y) (+ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04951481
122241328
250011183

prune195.0ms

Filtered
184 candidates to 83 candidates (45.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1804184
Fresh404
Picked101
Done000
Total1854189

Merged error: 0b

Counts
189 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u
3×cbrt-undiv frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 535
Calls
4 calls:
5.0ms
(/ x (+ x y))
31.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
5.0ms
(/ y (+ x y))
33.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ x (+ x y))
79.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
40.0ms
(/ y (+ x y))
77.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify157.0ms

Algorithm
egg-herbie
Counts
547 → 547
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0109011870
134908594
250017644

prune544.0ms

Filtered
547 candidates to 193 candidates (35.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New5452547
Fresh213
Picked101
Done000
Total5483551

Merged error: 0b

Counts
551 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ y (+ x y))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
152×times-frac
118×add-sqr-sqrt
94×add-cube-cbrt
48×swap-sqr
44×distribute-lft-out
36×associate-*r* associate-*l*
32×add-exp-log add-cbrt-cube
20×associate-/r/
18×pow1
10×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×prod-exp associate-/r* cbrt-unprod unswap-sqr
6×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 250
Calls
4 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ y (+ x y))
18.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
18.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ y (+ x y))
40.0ms
(/ y (+ x y))
60.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
58.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07431802
137821592
250011548

prune465.0ms

Filtered
262 candidates to 162 candidates (61.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2620262
Fresh022
Picked011
Done000
Total2623265

Merged error: 0b

Counts
265 → 3

regimes26.0ms

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
01618
11618

end0.0ms

sample284.0ms

Algorithm
intervals
Results
159.0ms8000×body80valid