Details

Time bar (total: 1.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

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) (+ 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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 42
Calls
1 calls:
7.0ms
(/ (+ x y) (+ y 1.0))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (+ x y) (+ y 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0197262
1620246
21970245
35001245

prune65.0ms

Filtered
45 candidates to 30 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh000
Picked011
Done000
Total42446

Merged error: 0b

Counts
46 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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 expm1-log1p-u frac-times rec-exp 1-exp associate-*l/ cbrt-unprod log1p-expm1-u 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 → 87
Calls
2 calls:
5.0ms
(/ 1 (+ y 1.0))
14.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

series55.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ 1 (+ y 1.0))
33.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0361480
11694416
25002380

prune104.0ms

Filtered
93 candidates to 55 candidates (59.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done011
Total93497

Merged error: 0b

Counts
97 → 4

localize5.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
2 → 156
Calls
2 calls:
7.0ms
(/ (+ y 1.0) (+ x y))
10.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (+ y 1.0) (+ x y))
33.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04591246
122251110
25001987

prune144.0ms

Filtered
162 candidates to 72 candidates (44.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done022
Total1624166

Merged error: 0b

Counts
166 → 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×expm1-log1p-u log1p-expm1-u 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 → 256
Calls
4 calls:
10.0ms
(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))))

series207.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(sqrt (/ (+ x y) (+ y 1.0)))
33.0ms
(/ (+ x y) (+ y 1.0))
33.0ms
(/ (+ x y) (+ y 1.0))
63.0ms
(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

simplify80.0ms

Algorithm
egg-herbie
Counts
268 → 268
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04671883
121931744
250011717

prune432.0ms

Filtered
268 candidates to 147 candidates (54.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2680268
Fresh000
Picked011
Done033
Total2684272

Merged error: 0b

Counts
272 → 4

regimes43.0ms

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

sample269.0ms

Algorithm
intervals
Results
147.0ms8000×body80valid

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