Details

Time bar (total: 4.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
8.0ms
(/ (- x y) (- 1.0 y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (- x y) (- 1.0 y))

simplify997.0ms

Counts
55 → 55
Iterations

Useful iterations: 4 (454.0ms)

IterNodesCost
0103740
1253711
2637677
31682677
44059675
done5001675

prune80.0ms

Filtered
38 candidates to 55 candidates (-44.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New51455
Fresh000
Picked101
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- 1.0 y))
0.0b
(/ y (- 1.0 y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
30×times-frac
22×add-cube-cbrt
10×associate-/r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube associate-/l*
4×associate-/r/
2×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
2 → 74
Calls
2 calls:
6.0ms
(/ x (- 1.0 y))
6.0ms
(/ y (- 1.0 y))

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ x (- 1.0 y))
3.0ms
(/ y (- 1.0 y))

simplify1.1s

Counts
80 → 80
Iterations

Useful iterations: 4 (513.0ms)

IterNodesCost
0141858
1296818
2832764
32053756
44778752
done5000752

prune102.0ms

Filtered
60 candidates to 80 candidates (-33.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done000
Total80484

Merged error: 0b

Counts
84 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.0b
(/ 1 (sqrt (- 1.0 y)))
0.1b
(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
0.1b
(/ (- x y) (sqrt (- 1.0 y)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
196×add-sqr-sqrt
155×*-un-lft-identity
150×times-frac
106×sqrt-prod
77×add-cube-cbrt
46×associate-*r*
36×distribute-lft-out-- difference-of-squares
32×add-exp-log
30×associate-*l*
20×add-cbrt-cube
16×associate-/r*
15×unswap-sqr
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/ associate-/l*
6×cbrt-undiv flip3-- flip--
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×frac-times rem-sqrt-square div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 257
Calls
4 calls:
4.0ms
(sqrt (- 1.0 y))
7.0ms
(/ 1 (sqrt (- 1.0 y)))
44.0ms
(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
11.0ms
(/ (- x y) (sqrt (- 1.0 y)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- 1.0 y))
10.0ms
(/ 1 (sqrt (- 1.0 y)))
6.0ms
(* (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))))
12.0ms
(/ (- x y) (sqrt (- 1.0 y)))

simplify684.0ms

Counts
269 → 269
Iterations

Useful iterations: 2 (294.0ms)

IterNodesCost
03314542
19334120
232653557
done50003557

prune361.0ms

Filtered
147 candidates to 269 candidates (-83.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2681269
Fresh202
Picked011
Done011
Total2703273

Merged error: 0b

Counts
273 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ y (* y y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×*-un-lft-identity
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt distribute-rgt-out flip3-+ distribute-rgt1-in sum-log add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
3.0ms
(+ y (* y y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ y (* y y))

simplify856.0ms

Counts
16 → 16
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
029130
177123
2265107
3724107
42468107
done5001107

prune18.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done022
Total16319

Merged error: 0b

Counts
19 → 3

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
done711

end0.0ms

sample420.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid

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