Details

Time bar (total: 12.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2289
3429
4449
done449

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize10.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ (+ x y) (* (* x 2.0) y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×pow1 frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
52.0ms
(/ (+ x y) (* (* x 2.0) y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.0s

Counts
30 → 30
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
073406
1213392
2859314
34528314
done5000314

prune63.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (/ 0.5 x) (/ 0.5 y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
6×times-frac
5×distribute-lft-out
3×add-sqr-sqrt add-cube-cbrt add-log-exp
2×div-inv
1×pow1 add-exp-log +-commutative flip3-+ frac-add sum-log add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
38.0ms
(+ (/ 0.5 x) (/ 0.5 y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ (/ 0.5 x) (/ 0.5 y))

simplify3.1s

Counts
20 → 20
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
046227
1117216
2279194
3831194
43589190
done5000190

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) y)
7.9b
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
35×*-un-lft-identity
28×times-frac
26×add-sqr-sqrt
25×add-cbrt-cube
21×add-cube-cbrt
20×prod-exp
16×div-exp associate-*r*
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out
4×pow1 rec-exp 1-exp associate-/l*
3×associate-/r* div-inv
2×associate-/l/ add-log-exp unswap-sqr
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 90
Calls
2 calls:
28.0ms
(/ (+ x y) y)
80.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (+ x y) y)
69.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify2.1s

Counts
96 → 96
Iterations

Useful iterations: 2 (349.0ms)

IterNodesCost
01501268
13971110
21550926
done5001926

prune143.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.5 (- (/ 0.5 (* x x)) (/ 0.5 (* y y))))
1.0b
(/ 0.5 (* x x))
3.8b
(- (/ 0.5 (* x x)) (/ 0.5 (* y y)))
29.5b
(/ (* 0.5 (- (/ 0.5 (* x x)) (/ 0.5 (* y y)))) (- (/ 0.5 x) (/ 0.5 y)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
43×times-frac
34×*-un-lft-identity
16×add-exp-log add-cbrt-cube difference-of-squares
14×add-cube-cbrt distribute-lft-out--
13×associate-/r*
10×div-inv
9×associate-*r*
6×pow1 associate-*r/ add-log-exp
4×cbrt-undiv flip3-- div-exp frac-sub flip-- associate-/l*
3×sub-neg associate-*l* prod-exp associate-/r/ cbrt-unprod associate-/l/
2×distribute-rgt-in frac-2neg distribute-lft-in clear-num
1×diff-log pow-prod-down *-commutative unswap-sqr
Counts
4 → 116
Calls
4 calls:
88.0ms
(* 0.5 (- (/ 0.5 (* x x)) (/ 0.5 (* y y))))
8.0ms
(/ 0.5 (* x x))
30.0ms
(- (/ 0.5 (* x x)) (/ 0.5 (* y y)))
75.0ms
(/ (* 0.5 (- (/ 0.5 (* x x)) (/ 0.5 (* y y)))) (- (/ 0.5 x) (/ 0.5 y)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* 0.5 (- (/ 0.5 (* x x)) (/ 0.5 (* y y))))
41.0ms
(/ 0.5 (* x x))
57.0ms
(- (/ 0.5 (* x x)) (/ 0.5 (* y y)))
104.0ms
(/ (* 0.5 (- (/ 0.5 (* x x)) (/ 0.5 (* y y)))) (- (/ 0.5 x) (/ 0.5 y)))

simplify1.6s

Counts
128 → 128
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02162384
15582294
220342046
done50001996

prune317.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample759.0ms

Algorithm
intervals
Results
420.0ms8001×body80valid