Details

Time bar (total: 3.7s)

sample764.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.986328%

Guaranteed chance to sample good point: 96.530444%

Results
9.0ms256×body80valid
0.0ms2×body80invalid

simplify65.0ms

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: 9.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
8.5b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×flip3-+ times-frac associate-*r/ associate-*r* associate-/r* flip-+ distribute-lft-out
3×associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
6.0ms
(+ (/ x y) 1.0)
9.0ms
(* x (+ (/ x y) 1.0))
12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series14.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
5.0ms
(* x (+ (/ x y) 1.0))
7.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0301391
11508339
25001337

prune94.0ms

Filtered
48 candidates to 71 candidates (-47.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New64771
Fresh000
Picked101
Done000
Total65772

Merged error: 0.0b

Counts
72 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
158×*-un-lft-identity
146×times-frac
72×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ associate-/l*
6×div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative sum-log
Counts
3 → 158
Calls
3 calls:
6.0ms
(+ (/ x y) 1.0)
13.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series17.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
7.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04991501
123491440
250021438

prune185.0ms

Filtered
106 candidates to 167 candidates (-57.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1661167
Fresh246
Picked011
Done000
Total1686174

Merged error: 0.0b

Counts
174 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
22×associate-*r*
19×distribute-lft-out
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×flip3-+ associate-/r* associate-/r/ flip-+ associate-/l*
3×associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 93
Calls
3 calls:
6.0ms
(+ (/ x y) 1.0)
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
5.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0345675
11567617
25002612

prune115.0ms

Filtered
66 candidates to 102 candidates (-54.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh044
Picked011
Done011
Total1017108

Merged error: 0b

Counts
108 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.0b
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
812×times-frac
622×*-un-lft-identity
344×add-sqr-sqrt add-cube-cbrt
139×distribute-lft-out
77×associate-/r*
35×associate-/r/
32×add-exp-log
29×associate-/l*
23×div-inv
20×add-cbrt-cube
19×flip3-+ div-exp flip-+
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×+-commutative pow-flip sum-log inv-pow
Counts
4 → 466
Calls
4 calls:
9.0ms
(+ (/ x y) 1.0)
14.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
23.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series28.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (/ x y) 1.0)
10.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
7.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify93.0ms

Algorithm
egg-herbie
Counts
478 → 478
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
012915812
150015274

prune539.0ms

Filtered
252 candidates to 478 candidates (-89.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4771478
Fresh134
Picked011
Done112
Total4796485

Merged error: 0b

Counts
485 → 6

regimes87.0ms

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
0115
1115

end0.0ms

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.986328%

Guaranteed chance to sample good point: 96.530444%

Results
279.0ms8000×body80valid
5.0ms133×body80invalid

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