Details

Time bar (total: 8.5s)

sample25.0ms

Algorithm
intervals
Results
13.0ms341×body80valid

simplify663.0ms

Counts
1 → 1
Iterations
IterNodes
done5002
51616
4483
3175
265
121
09

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ (- 3.0 x) (* 3.0 y)) (- 1.0 x))
0.5b
(/ (- 3.0 x) (* 3.0 y))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
15×*-un-lft-identity
10×times-frac
9×associate-*l*
7×add-cube-cbrt
5×associate-*r* prod-exp cbrt-unprod associate-/l*
4×pow1 cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
3×flip3-- flip--
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-inv add-log-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub pow-prod-down associate-*l/ *-commutative unswap-sqr
Counts
2 → 67
Calls
2 calls:
61.0ms
(* (/ (- 3.0 x) (* 3.0 y)) (- 1.0 x))
29.0ms
(/ (- 3.0 x) (* 3.0 y))

series113.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (/ (- 3.0 x) (* 3.0 y)) (- 1.0 x))
61.0ms
(/ (- 3.0 x) (* 3.0 y))

simplify952.0ms

Counts
73 → 73
Iterations
IterNodes
done5001
21898
1381
0136

prune299.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ (- 1 (/ x 3.0)) y) (- 1.0 x))
0.1b
(/ (- 1 (/ x 3.0)) y)

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
63×times-frac
58×*-un-lft-identity
29×difference-of-squares
28×associate-*l* add-cube-cbrt
9×add-cbrt-cube add-exp-log
8×associate-/l* distribute-lft-out--
5×associate-*r*
4×pow1
3×associate-/r* flip3-- flip--
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-*r/ cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 107
Calls
2 calls:
79.0ms
(* (/ (- 1 (/ x 3.0)) y) (- 1.0 x))
49.0ms
(/ (- 1 (/ x 3.0)) y)

series126.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (/ (- 1 (/ x 3.0)) y) (- 1.0 x))
47.0ms
(/ (- 1 (/ x 3.0)) y)

simplify1.1s

Counts
113 → 113
Iterations
IterNodes
done5000
22097
1493
0189

prune462.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 y) (/ x (* y 3.0)))
0.0b
(* (- (/ 1 y) (/ x (* y 3.0))) (- 1.0 x))
0.2b
(/ x (* y 3.0))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×*-un-lft-identity
10×add-cbrt-cube add-exp-log
8×flip3-- associate-*l* flip--
7×times-frac add-cube-cbrt difference-of-squares
6×frac-times
5×pow1 associate-*r* distribute-lft-out-- add-log-exp
4×frac-sub
3×sub-neg associate-*l/ div-inv associate-/l*
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp prod-exp associate-*r/ cbrt-unprod
1×clear-num associate-/r* frac-2neg diff-log pow-prod-down *-commutative unswap-sqr
Counts
3 → 79
Calls
3 calls:
26.0ms
(- (/ 1 y) (/ x (* y 3.0)))
118.0ms
(* (- (/ 1 y) (/ x (* y 3.0))) (- 1.0 x))
8.0ms
(/ x (* y 3.0))

series139.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (/ 1 y) (/ x (* y 3.0)))
73.0ms
(* (- (/ 1 y) (/ x (* y 3.0))) (- 1.0 x))
20.0ms
(/ x (* y 3.0))

simplify885.0ms

Counts
88 → 88
Iterations
IterNodes
done5000
22587
1413
0155

prune303.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 y) (/ (/ x y) 3.0))
0.0b
(* (- (/ 1 y) (/ (/ x y) 3.0)) (- 1.0 x))
0.2b
(/ (/ x y) 3.0)

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
111×add-sqr-sqrt
109×times-frac
69×*-un-lft-identity
47×add-cube-cbrt
19×difference-of-squares
15×associate-*l*
13×associate-/l*
10×add-cbrt-cube add-exp-log
8×flip3-- flip--
7×div-inv distribute-lft-out--
6×frac-times
5×pow1 associate-*r* add-log-exp
4×frac-sub
3×cbrt-undiv associate-/r* sub-neg div-exp associate-*l/
2×distribute-rgt-in distribute-lft-in associate-*r/
1×clear-num frac-2neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
Counts
3 → 142
Calls
3 calls:
39.0ms
(- (/ 1 y) (/ (/ x y) 3.0))
170.0ms
(* (- (/ 1 y) (/ (/ x y) 3.0)) (- 1.0 x))
15.0ms
(/ (/ x y) 3.0)

series108.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ 1 y) (/ (/ x y) 3.0))
51.0ms
(* (- (/ 1 y) (/ (/ x y) 3.0)) (- 1.0 x))
20.0ms
(/ (/ x y) 3.0)

simplify1.1s

Counts
151 → 151
Iterations
IterNodes
done5000
23524
1714
0274

prune628.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample805.0ms

Algorithm
intervals
Results
576.0ms10749×body80valid