Details

Time bar (total: 1.8s)

sample13.0ms

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

localize4.0ms

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))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (+ x y) (+ y 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0197262
1620246
21970245
35001245

prune59.0ms

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

localize6.0ms

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 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))
12.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1 (+ y 1.0))
34.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0361480
11694416
25002380

prune94.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done011
Total93497

Merged error: 0b

Counts
97 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
17.1b
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
41×add-sqr-sqrt
34×add-cube-cbrt
33×times-frac
22×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×difference-of-squares
9×add-exp-log add-cbrt-cube distribute-lft-out
5×associate-*r*
4×pow1 flip3-- associate-/r* associate-/r/ flip-- associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num *-commutative flip-+ distribute-lft-out--
Counts
2 → 113
Calls
2 calls:
15.0ms
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
10.0ms
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
72.0ms
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify83.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05791336
129611135
250011119

prune151.0ms

Filtered
119 candidates to 76 candidates (63.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done022
Total1194123

Merged error: 0b

Counts
123 → 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))))

rewrite64.0ms

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:
7.0ms
(sqrt (/ (+ x y) (+ y 1.0)))
7.0ms
(/ (+ x y) (+ y 1.0))
7.0ms
(/ (+ x y) (+ y 1.0))
29.0ms
(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

series211.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (/ (+ x y) (+ y 1.0)))
37.0ms
(/ (+ x y) (+ y 1.0))
32.0ms
(/ (+ x y) (+ y 1.0))
63.0ms
(* (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
268 → 268
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04671883
121931744
250011717

prune335.0ms

Filtered
268 candidates to 146 candidates (54.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2680268
Fresh000
Picked011
Done033
Total2684272

Merged error: 0b

Counts
272 → 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

sample292.0ms

Algorithm
intervals
Results
167.0ms7996×body80valid
0.0ms3×body1280valid
0.0ms1×body640valid

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