Details

Time bar (total: 2.7s)

sample542.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.05603%

Results
6.0ms196×body80valid
4.0ms22×body640valid
2.0ms21×body320valid
1.0ms11×body1280valid
0.0ms6×body160valid

simplify65.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.2b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.3b
(/ (* (- 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))

series18.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0287314
11151281
25001280

prune80.0ms

Filtered
35 candidates to 47 candidates (-34.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New44347
Fresh000
Picked101
Done000
Total45348

Merged error: 0.1b

Counts
48 → 3

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)))
2.2b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite22.0ms

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))
11.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series21.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ y (+ y 1.0))
6.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
12.0ms
(- 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

prune107.0ms

Filtered
69 candidates to 97 candidates (-40.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done000
Total973100

Merged error: 0.1b

Counts
100 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
4.8b
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
8.3b
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
29×add-exp-log
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×associate-*r*
17×add-cbrt-cube
12×prod-exp
9×pow1
7×distribute-lft-out
6×div-exp associate-*l/ cbrt-unprod
5×add-log-exp
4×associate-/r* associate-/r/
3×cbrt-undiv rec-exp flip3-- 1-exp pow-prod-down flip-- associate-/l*
2×frac-times flip3-+ flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ associate-*l* clear-num un-div-inv *-commutative inv-pow
Counts
3 → 96
Calls
3 calls:
5.0ms
(/ 1 (+ y 1.0))
2.0ms
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
15.0ms
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

series20.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1 (+ y 1.0))
11.0ms
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
7.0ms
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0474648
12274556
25001516

prune91.0ms

Filtered
57 candidates to 105 candidates (-84.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0.1b

Counts
108 → 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))

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))

series9.0ms

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

simplify75.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0224317
1627291
22875282
35001274

prune48.0ms

Filtered
33 candidates to 49 candidates (-48.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New47249
Fresh000
Picked011
Done022
Total47552

Merged error: 0.1b

Counts
52 → 5

regimes161.0ms

Accuracy

99.8% (0.0b remaining)

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

bsearch70.0ms

Steps
ItersRangePoint
9
30472.54286262844
200909514576.86905
120859439.80545884
9
-25087809832450936.0
-118239412.84975877
-163828594.99129173

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111
13111

end0.0ms

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.05603%

Results
183.0ms6025×body80valid
83.0ms733×body640valid
55.0ms379×body1280valid
46.0ms555×body320valid
17.0ms308×body160valid

Profiling

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