Details

Time bar (total: 2.9s)

sample28.0ms

Algorithm
intervals
Results
6.0ms196×body80valid
2.0ms20×body640valid
2.0ms20×body320valid
1.0ms6×body1280valid
1.0ms14×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

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
4.4b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.5b
(/ (* (- 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))

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (- 1.0 x) y)
11.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0338401
11456359
25001359

prune265.0ms

Filtered
72 candidates to 51 candidates (29.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New66672
Fresh000
Picked101
Done000
Total67673

Merged error: 0.3b

Counts
73 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
4.4b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×add-sqr-sqrt associate-*r*
13×times-frac
11×add-cube-cbrt
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×flip3-- flip-- distribute-lft-out
2×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-+ diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 55
Calls
2 calls:
12.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series18.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
11.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0362398
11550365
25001365

prune194.0ms

Filtered
61 candidates to 44 candidates (27.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh055
Picked011
Done000
Total61667

Merged error: 0.3b

Counts
67 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

4.4b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.5b
(/ (* (- 1.0 x) y) (+ y 1.0))
5.5b
(/ (* (- 1.0 x) y) (+ y 1.0))
5.5b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-exp-log add-cbrt-cube
12×add-sqr-sqrt times-frac associate-/r*
10×add-cube-cbrt
6×cbrt-undiv div-exp associate-*l/ associate-/r/ associate-/l/ distribute-lft-out add-log-exp
4×pow1 flip3-- flip--
3×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l*
1×sub-neg diff-log distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
7.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series31.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
6.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
7.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0287648
11151575
25001574

prune446.0ms

Filtered
107 candidates to 79 candidates (26.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh134
Picked101
Done011
Total1076113

Merged error: 0.2b

Counts
113 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

4.4b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.5b
(/ (* (- 1.0 x) y) (+ y 1.0))
5.5b
(/ (* (- 1.0 x) y) (+ y 1.0))
11.4b
(- 1.0 (* (/ (- 1.0 x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt times-frac associate-/r* add-log-exp
4×pow1 cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out
2×sub-neg frac-2neg flip3-+ diff-log prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l*
1×distribute-lft-out-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
7.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
9.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
11.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
3.0ms
(- 1.0 (* (/ (- 1.0 x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
7.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
12.0ms
(- 1.0 (* (/ (- 1.0 x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0348742
11445662
25001653

prune473.0ms

Filtered
92 candidates to 69 candidates (25.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New91192
Fresh044
Picked101
Done011
Total92698

Merged error: 0.2b

Counts
98 → 6

regimes384.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.1b

bsearch66.0ms

Steps
ItersRangePoint
7
53342933.17227377
10404560385.548195
196675748.8848412
5
-3194900739499123.5
-903814096085049.6
-919764267891805.2

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02910
12910

end0.0ms

sample589.0ms

Algorithm
intervals
Results
179.0ms6134×body80valid
80.0ms720×body640valid
50.0ms367×body1280valid
46.0ms508×body320valid
15.0ms271×body160valid

Profiling

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