Details

Time bar (total: 1.7s)

analyze68.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
6.0ms193×body80valid
5.0ms17×body320valid
2.0ms23×body640valid
2.0ms12×body1280valid
1.0ms11×body160valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0165
1355
2745
31285
42525
53745
65145
76425
87775
910105
1016865
1150025

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
2.9b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.9b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×times-frac associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
6.0ms
(* (- 1.0 x) y)
7.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series22.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (- 1.0 x) y)
11.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0338401
11456359
25001359

prune95.0ms

Filtered
51 candidates to 72 candidates (-41.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New70272
Fresh000
Picked101
Done000
Total71273

Merged error: 0.1b

Counts
73 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
2.9b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out add-log-exp
3×associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ div-inv
Counts
2 → 45
Calls
2 calls:
5.0ms
(/ y (+ y 1.0))
5.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ y (+ y 1.0))
11.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify139.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0242302
1864276
24429273
35001273

prune56.0ms

Filtered
37 candidates to 51 candidates (-37.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New51051
Fresh011
Picked011
Done000
Total51253

Merged error: 0.1b

Counts
53 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
14×times-frac
6×difference-of-squares
5×div-inv distribute-lft-out--
3×add-cube-cbrt distribute-rgt-out-- add-log-exp
1×pow1 add-exp-log sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- sub-div
Counts
1 → 28
Calls
1 calls:
12.0ms
(- (/ 1 y) (/ x y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(- (/ 1 y) (/ x y))

simplify39.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0130178
1352170
21334165
35001154

prune32.0ms

Filtered
21 candidates to 31 candidates (-47.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done011
Total30333

Merged error: 0.1b

Counts
33 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 y) (/ x y))
2.4b
(exp (log (- (/ 1 y) (/ x y))))
3.2b
(log (- (/ 1 y) (/ x y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
54×*-un-lft-identity
42×times-frac
34×log-prod
18×difference-of-squares
17×exp-sum
15×div-inv distribute-lft-out--
12×add-cube-cbrt
9×distribute-rgt-out--
8×log-div
5×pow1 add-log-exp
4×add-exp-log exp-prod exp-diff
3×flip3-- frac-sub add-cbrt-cube flip-- sub-div
2×log-pow
1×sub-neg diff-log rem-log-exp rem-exp-log
Counts
3 → 91
Calls
3 calls:
14.0ms
(- (/ 1 y) (/ x y))
13.0ms
(exp (log (- (/ 1 y) (/ x y))))
12.0ms
(log (- (/ 1 y) (/ x y)))

series16.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (/ 1 y) (/ x y))
4.0ms
(exp (log (- (/ 1 y) (/ x y))))
8.0ms
(log (- (/ 1 y) (/ x y)))

simplify121.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0300682
1885646
24115622
35001615

prune107.0ms

Filtered
64 candidates to 100 candidates (-56.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh000
Picked101
Done022
Total1003103

Merged error: 0.1b

Counts
103 → 3

regimes143.0ms

Accuracy

98.4% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 14.3b

bsearch60.0ms

Steps
ItersRangePoint
8
3780348.954239548
69359079841.25586
177751819.38574657
7
-2.267710725984285e+24
-3.5116834451099193e+22
-3.556079125278387e+22

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02910
12910

end0.0ms

analyze72.0ms

Algorithm
search

sample490.0ms

Algorithm
intervals
Results
178.0ms6104×body80valid
74.0ms682×body640valid
51.0ms385×body1280valid
48.0ms542×body320valid
15.0ms287×body160valid

Profiling

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