Details

Time bar (total: 1.8s)

sample22.0ms

Algorithm
intervals
Results
6.0ms199×body80valid
3.0ms21×body640valid
1.0ms17×body320valid
1.0ms9×body1280valid
1.0ms10×body160valid

simplify64.0ms

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

prune6.0ms

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: 21.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
3.3b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.8b
(/ (* (- 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)))
9.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (- 1.0 x) y)
12.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0338401
11456359
25001359

prune113.0ms

Filtered
72 candidates to 51 candidates (29.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New69372
Fresh000
Picked101
Done000
Total70373

Merged error: 0.2b

Counts
73 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (- 1.0 x) (/ (+ y 1.0) y))
3.3b
(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
155×times-frac
139×*-un-lft-identity
110×add-sqr-sqrt
67×add-cube-cbrt
20×difference-of-squares
18×distribute-lft-out distribute-lft-out--
16×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 flip3-- div-sub flip-- associate-/l/
1×sub-neg frac-2neg diff-log clear-num associate-/r/ associate--r-
Counts
2 → 136
Calls
2 calls:
11.0ms
(/ (- 1.0 x) (/ (+ y 1.0) y))
27.0ms
(- 1.0 (/ (- 1.0 x) (/ (+ y 1.0) y)))

series18.0ms

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

simplify75.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06581349
124761305
250031305

prune185.0ms

Filtered
142 candidates to 92 candidates (35.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh022
Picked011
Done000
Total1423145

Merged error: 0.2b

Counts
145 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
0.0b
(* (- 1.0 x) y)
5.3b
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
7.8b
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
32×add-exp-log
27×add-sqr-sqrt
24×times-frac
23×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
8×associate-*l/
7×cbrt-unprod distribute-lft-out
6×div-exp associate-*l* add-log-exp
4×flip3-- pow-prod-down associate-/r* associate-/r/ flip--
3×cbrt-undiv rec-exp 1-exp associate-/l*
2×frac-times flip3-+ *-commutative flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ clear-num un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 118
Calls
4 calls:
5.0ms
(/ 1 (+ y 1.0))
6.0ms
(* (- 1.0 x) y)
3.0ms
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
14.0ms
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (+ y 1.0))
4.0ms
(* (- 1.0 x) y)
11.0ms
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
6.0ms
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0509735
12631634
25001597

prune122.0ms

Filtered
130 candidates to 74 candidates (43.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh011
Picked011
Done011
Total1303133

Merged error: 0.2b

Counts
133 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×*-un-lft-identity
14×times-frac
6×add-log-exp difference-of-squares
5×div-inv distribute-lft-out--
4×add-cube-cbrt associate-+l+
3×sub-neg distribute-rgt-out--
2×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
1×+-commutative flip3-- flip3-+ diff-log sum-log frac-sub flip-- flip-+ sub-div
Counts
2 → 43
Calls
2 calls:
16.0ms
(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
12.0ms
(- (/ 1 y) (/ x y))

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
4.0ms
(- (/ 1 y) (/ x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0224317
1627291
22875282
35001274

prune48.0ms

Filtered
49 candidates to 33 candidates (32.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New47249
Fresh000
Picked011
Done022
Total47552

Merged error: 0.2b

Counts
52 → 5

regimes150.0ms

Accuracy

96.3% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 14.5b

bsearch31.0ms

Steps
ItersRangePoint
8
4488783.887387241
62869179882.65231
126209508.38581224
8
-3.402399380971834e+38
-1.7554059141447428e+34
-1.784428736543528e+34

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111
13111

end0.0ms

sample599.0ms

Algorithm
intervals
Results
186.0ms6076×body80valid
83.0ms731×body640valid
55.0ms375×body1280valid
47.0ms525×body320valid
17.0ms293×body160valid

Profiling

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