Details

Time bar (total: 19.7s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2289
3429
4449
done449

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

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 expm1-log1p-u frac-2neg flip3-+ clear-num associate-/r* flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
53.0ms
(/ (+ x y) (* (* x 2.0) y))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.2s

Counts
32 → 32
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
075426
1218411
2874333
34593333
done5000333

prune75.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
15×times-frac
13×fma-def
10×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
3×div-inv add-log-exp
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ frac-add sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 32
Calls
1 calls:
30.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (/ 0.5 y) (/ 0.5 x))

simplify3.9s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
048243
1124230
2306209
3897209
44235206
done5000206

prune147.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 94
Calls
2 calls:
20.0ms
(/ (+ x y) y)
77.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ x y) y)
76.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify2.1s

Counts
100 → 100
Iterations

Useful iterations: 2 (419.0ms)

IterNodesCost
01541304
14041141
21579957
done5000957

prune190.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 0.5 (* y y))
0.2b
(* 0.5 (- (/ 0.5 (* y y)) (/ (/ 0.5 x) x)))
3.9b
(- (/ 0.5 (* y y)) (/ (/ 0.5 x) x))
29.5b
(/ (* 0.5 (- (/ 0.5 (* y y)) (/ (/ 0.5 x) x))) (- (/ 0.5 y) (/ 0.5 x)))

rewrite853.0ms

Algorithm
rewrite-expression-head
Rules
1829×times-frac
1071×add-sqr-sqrt
1029×*-un-lft-identity
1009×add-cube-cbrt
903×prod-diff
303×distribute-rgt-in distribute-lft-in
220×div-inv
20×difference-of-squares
16×add-exp-log add-cbrt-cube
13×associate-/r*
12×distribute-lft-out--
10×associate-*r*
7×fma-neg
6×pow1 associate-*r/ add-log-exp
4×cbrt-undiv expm1-log1p-u flip3-- div-exp frac-sub flip-- log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp associate-/r/ cbrt-unprod associate-/l/
2×frac-2neg clear-num
1×diff-log pow-prod-down *-commutative unswap-sqr
Counts
4 → 1036
Calls
4 calls:
13.0ms
(/ 0.5 (* y y))
269.0ms
(* 0.5 (- (/ 0.5 (* y y)) (/ (/ 0.5 x) x)))
97.0ms
(- (/ 0.5 (* y y)) (/ (/ 0.5 x) x))
288.0ms
(/ (* 0.5 (- (/ 0.5 (* y y)) (/ (/ 0.5 x) x))) (- (/ 0.5 y) (/ 0.5 x)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ 0.5 (* y y))
84.0ms
(* 0.5 (- (/ 0.5 (* y y)) (/ (/ 0.5 x) x)))
81.0ms
(- (/ 0.5 (* y y)) (/ (/ 0.5 x) x))
135.0ms
(/ (* 0.5 (- (/ 0.5 (* y y)) (/ (/ 0.5 x) x))) (- (/ 0.5 y) (/ 0.5 x)))

simplify5.2s

Counts
1048 → 1048
Iterations

Useful iterations: done (5.1s)

IterNodesCost
0146661115
1259156277
done500041775

prune2.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample819.0ms

Algorithm
intervals
Results
485.0ms8001×body80valid