Details

Time bar (total: 1.9s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

prune2.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
7.0ms
(/ (+ x y) (+ y 1.0))

series37.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ (+ x y) (+ y 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0191254
1588238
21797238
35001236

prune70.0ms

Filtered
43 candidates to 28 candidates (65.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
0.1b
(* (+ x y) (/ 1 (+ y 1.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
8×distribute-lft-out
5×pow1
4×flip3-+ div-exp associate-*l* prod-exp associate-/r* associate-/r/ flip-+
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 83
Calls
2 calls:
6.0ms
(/ 1 (+ y 1.0))
12.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1 (+ y 1.0))
37.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0351464
11645402
25001368

prune103.0ms

Filtered
89 candidates to 51 candidates (57.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh022
Picked011
Done011
Total89493

Merged error: 0b

Counts
93 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) (+ x y))
0.2b
(/ 1 (/ (+ y 1.0) (+ x y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
7×associate-/l*
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 inv-pow
Counts
2 → 152
Calls
2 calls:
7.0ms
(/ (+ y 1.0) (+ x y))
10.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ (+ y 1.0) (+ x y))
60.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04491228
121811095
25002973

prune139.0ms

Filtered
158 candidates to 68 candidates (43.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1580158
Fresh011
Picked011
Done022
Total1584162

Merged error: 0b

Counts
162 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (+ x y) (+ y 1.0)))
0.0b
(/ (+ x y) (+ y 1.0))
0.0b
(/ (+ x y) (+ y 1.0))
0.2b
(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
289×*-un-lft-identity
164×sqrt-prod
159×times-frac
112×add-sqr-sqrt
92×distribute-lft-out
81×add-cube-cbrt
47×swap-sqr
25×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 flip3-+ pow1/2 flip-+ unswap-sqr
8×associate-/r* associate-/l*
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-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 → 248
Calls
4 calls:
7.0ms
(sqrt (/ (+ x y) (+ y 1.0)))
7.0ms
(/ (+ x y) (+ y 1.0))
7.0ms
(/ (+ x y) (+ y 1.0))
27.0ms
(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (/ (+ x y) (+ y 1.0)))
36.0ms
(/ (+ x y) (+ y 1.0))
41.0ms
(/ (+ x y) (+ y 1.0))
65.0ms
(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

simplify87.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04491849
121151713
250021690

prune361.0ms

Filtered
260 candidates to 139 candidates (53.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2600260
Fresh000
Picked011
Done033
Total2604264

Merged error: 0b

Counts
264 → 4

regimes46.0ms

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
083
183

end0.0ms

sample287.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid