Details

Time bar (total: 1.9s)

analyze203.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 11.073234%

Guaranteed chance to sample good point: 96.530444%

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms2×body80invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1275
2405
3475
4635
5755
61065
71125
81185
91225
101305
114025
1226055
1350015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
6.1b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
9.0ms
(* x (+ (/ x y) 1.0))
13.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (+ (/ x y) 1.0))
7.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0296332
11504285
25001283

prune81.0ms

Filtered
38 candidates to 56 candidates (-47.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New50656
Fresh000
Picked101
Done000
Total51657

Merged error: 0b

Counts
57 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls
2 calls:
13.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
9.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04941442
123441386
250011384

prune162.0ms

Filtered
95 candidates to 152 candidates (-60.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh055
Picked011
Done000
Total1526158

Merged error: 0b

Counts
158 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
6.1b
(/ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ (/ x y) 1.0))) (+ x 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-cbrt-cube
13×*-un-lft-identity
9×cbrt-prod add-sqr-sqrt add-cube-cbrt
8×prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×pow1 times-frac associate-*r/ associate-/r* add-log-exp
3×pow1/3
2×flip3-+ associate-/r/ flip-+ associate-/l/ distribute-lft-out
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(/ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ (/ x y) 1.0))) (+ x 1.0))

series77.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)
11.0ms
(/ (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ (/ x y) 1.0))) (+ x 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0402621
12019479
25001412

prune79.0ms

Filtered
55 candidates to 78 candidates (-41.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh044
Picked011
Done011
Total78684

Merged error: 0b

Counts
84 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
0.1b
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
10.5b
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*l*
10×add-cube-cbrt
9×associate-*r*
8×times-frac
7×pow1
6×associate-*r/ prod-exp cbrt-unprod
4×cbrt-undiv flip3-- div-exp associate-/r* associate-/r/ flip-- difference-of-squares
3×distribute-rgt-in distribute-lft-in add-log-exp
2×frac-times sub-neg flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l/ unswap-sqr
1×frac-2neg associate-*l/ clear-num distribute-lft-out associate-/l* distribute-lft-out--
Counts
3 → 90
Calls
3 calls:
9.0ms
(* x (+ (/ x y) 1.0))
18.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
12.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* x (+ (/ x y) 1.0))
9.0ms
(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
11.0ms
(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify85.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0530932
13087795
25001794

prune102.0ms

Filtered
68 candidates to 99 candidates (-45.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done022
Total996105

Merged error: 0b

Counts
105 → 6

regimes130.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

analyze199.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 11.073234%

Guaranteed chance to sample good point: 96.530444%

sample362.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid
4.0ms137×body80invalid

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