Details

Time bar (total: 2.7s)

sample21.0ms

Algorithm
intervals
Results
6.0ms186×body80valid
3.0ms29×body640valid
2.0ms22×body320valid
1.0ms8×body1280valid
1.0ms11×body160valid

simplify68.0ms

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

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: 21.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.8b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.2b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
4×add-cube-cbrt times-frac associate-/r* add-log-exp
2×pow1 cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out
1×sub-neg frac-2neg flip3-+ diff-log prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
7.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series118.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
48.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0287314
11151281
25001280

prune85.0ms

Filtered
47 candidates to 35 candidates (74.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New45247
Fresh000
Picked101
Done000
Total46248

Merged error: 0.2b

Counts
48 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*l* add-log-exp
4×associate-/r* associate-/r/
3×flip3-- flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
5.0ms
(/ y (+ y 1.0))
12.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series151.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (+ y 1.0))
48.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
68.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0400572
11790526
25001526

prune140.0ms

Filtered
97 candidates to 70 candidates (72.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done000
Total97299

Merged error: 0.2b

Counts
99 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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))

series53.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
20.0ms
(- (/ 1 y) (/ x y))

simplify77.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0224317
1627291
22875282
35001274

prune73.0ms

Filtered
49 candidates to 33 candidates (67.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done011
Total46551

Merged error: 0.2b

Counts
51 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series722.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
178.0ms
(cbrt y)
183.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify139.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune137.0ms

Filtered
56 candidates to 48 candidates (85.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh202
Picked101
Done022
Total58361

Merged error: 0.2b

Counts
61 → 3

regimes101.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.9b

bsearch91.0ms

Steps
ItersRangePoint
10
39972.03059165128
1.0394710987719883e+20
247244038.1963143
9
-8431562083.706251
-3.8083956042812823
-121194323.76917401

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02910
12910

end0.0ms

sample529.0ms

Algorithm
intervals
Results
185.0ms6021×body80valid
91.0ms754×body640valid
54.0ms382×body1280valid
48.0ms537×body320valid
18.0ms306×body160valid

Profiling

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