Details

Time bar (total: 8.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0917
13617
213017
341117
4121017
done500117

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.5b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.2b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-exp-log add-cbrt-cube
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×add-log-exp
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 140
Calls
3 calls:
9.0ms
(* (+ x y) (+ x y))
17.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (+ x y) (+ x y))
10.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
24.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.5s

Counts
149 → 149
Iterations

Useful iterations: 2 (487.0ms)

IterNodesCost
02183333
18013061
244142801
done50002801

prune177.0ms

Filtered
88 candidates to 149 candidates (-69.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1418149
Fresh000
Picked101
Done000
Total1428150

Merged error: 6.2b

Counts
150 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.0b
(/ x (* (+ x y) (+ x y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-exp-log add-cbrt-cube
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×pow1 frac-times
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r/ associate-*l/
6×swap-sqr associate-/r* associate-/l*
5×unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 170
Calls
4 calls:
9.0ms
(* (+ x y) (+ x y))
7.0ms
(/ y (+ (+ x y) 1.0))
24.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms
(/ x (* (+ x y) (+ x y)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ x y) (+ x y))
7.0ms
(/ y (+ (+ x y) 1.0))
24.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
10.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.2s

Counts
182 → 182
Iterations

Useful iterations: 2 (541.0ms)

IterNodesCost
02172873
16472600
227042329
done50002329

prune191.0ms

Filtered
114 candidates to 182 candidates (-59.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1766182
Fresh527
Picked011
Done000
Total1819190

Merged error: 0.0b

Counts
190 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
97×add-exp-log
70×times-frac
61×add-cbrt-cube
60×add-sqr-sqrt
48×add-cube-cbrt
40×prod-exp
36×associate-*l*
32×div-exp
31×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
11×pow1
10×associate-/r/
9×associate-/r*
6×frac-times associate-*r/ associate-/l*
5×rec-exp flip3-+ 1-exp flip-+ div-inv
4×pow-prod-down associate-*l/ add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
Counts
4 → 199
Calls
4 calls:
21.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
5.0ms
(/ x (+ x y))
10.0ms
(/ y (+ (+ x y) 1.0))
22.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
6.0ms
(/ x (+ x y))
7.0ms
(/ y (+ (+ x y) 1.0))
19.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify1.1s

Counts
211 → 211
Iterations

Useful iterations: 2 (498.0ms)

IterNodesCost
02613690
17903312
227602810
done50012810

prune203.0ms

Filtered
127 candidates to 211 candidates (-66.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2083211
Fresh257
Picked101
Done011
Total2119220

Merged error: 0b

Counts
220 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
218×add-exp-log
120×prod-exp
91×*-un-lft-identity
78×add-cbrt-cube
63×div-exp
56×times-frac
48×add-sqr-sqrt
41×add-cube-cbrt
36×cbrt-unprod
28×distribute-lft-out
22×associate-*r*
21×rec-exp 1-exp associate-*l*
20×cbrt-undiv
16×pow1
14×associate-*r/
9×frac-times associate-/r*
8×associate-/r/
7×pow-prod-down
6×associate-/l*
5×un-div-inv
4×flip3-+ flip-+ div-inv add-log-exp
3×associate-*l/ unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 217
Calls
4 calls:
5.0ms
(/ x (+ x y))
8.0ms
(/ 1 (+ (+ x y) 1.0))
13.0ms
(* y (/ 1 (+ (+ x y) 1.0)))
25.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (* y (/ 1 (+ (+ x y) 1.0)))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ x (+ x y))
5.0ms
(/ 1 (+ (+ x y) 1.0))
7.0ms
(* y (/ 1 (+ (+ x y) 1.0)))
20.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (* y (/ 1 (+ (+ x y) 1.0)))))

simplify1.2s

Counts
229 → 229
Iterations

Useful iterations: 2 (478.0ms)

IterNodesCost
03014256
19033357
225642763
done50002763

prune145.0ms

Filtered
103 candidates to 229 candidates (-122.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2290229
Fresh077
Picked011
Done011
Total2299238

Merged error: 0b

Counts
238 → 9

regimes106.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
11921
done1921

end0.0ms

sample527.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid

Profiling

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