Details

Time bar (total: 2.0s)

analyze122.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms4×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: 11.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
10.4b
(/ (* 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)
8.0ms
(* x (+ (/ x y) 1.0))
11.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series14.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (/ x y) 1.0)
4.0ms
(* 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 (39.0ms)

IterNodesCost
0301391
11508339
25001337

prune277.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New65671
Fresh000
Picked101
Done000
Total66672

Merged error: 0b

Counts
72 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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)
15.0ms
(/ 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)
6.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04991501
123491440
250021438

prune190.0ms

Filtered
105 candidates to 167 candidates (-59.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1670167
Fresh055
Picked011
Done000
Total1676173

Merged error: 0b

Counts
173 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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 (39.0ms)

IterNodesCost
0345675
11567617
25002612

prune110.0ms

Filtered
64 candidates to 102 candidates (-59.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh044
Picked011
Done011
Total1026108

Merged error: 0b

Counts
108 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.0b
(/ 1 (+ x 1.0))
0.1b
(* x (+ (/ x y) 1.0))
10.5b
(* (* x (+ (/ x y) 1.0)) (/ 1 (+ x 1.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
32×add-exp-log
25×add-sqr-sqrt
24×times-frac
23×add-cube-cbrt
22×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
9×distribute-lft-out
7×associate-*r/ cbrt-unprod
6×flip3-+ div-exp flip-+ add-log-exp
4×associate-*l* pow-prod-down associate-/r* associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l*
2×frac-times associate-*l/ *-commutative div-inv
1×+-commutative distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num sum-log un-div-inv inv-pow unswap-sqr
Counts
4 → 119
Calls
4 calls:
6.0ms
(+ (/ x y) 1.0)
5.0ms
(/ 1 (+ x 1.0))
8.0ms
(* x (+ (/ x y) 1.0))
17.0ms
(* (* x (+ (/ x y) 1.0)) (/ 1 (+ x 1.0)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (/ x y) 1.0)
2.0ms
(/ 1 (+ x 1.0))
5.0ms
(* x (+ (/ x y) 1.0))
7.0ms
(* (* x (+ (/ x y) 1.0)) (/ 1 (+ x 1.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0493754
12790639
25001604

prune105.0ms

Filtered
71 candidates to 131 candidates (-84.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh033
Picked011
Done022
Total1316137

Merged error: 0b

Counts
137 → 6

regimes88.0ms

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

analyze117.0ms

Algorithm
search

sample399.0ms

Algorithm
intervals
Results
261.0ms8000×body80valid
8.0ms251×body80invalid

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