Details

Time bar (total: 23.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1179
2289
3419
4559
51179
63169
710559
839199
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×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 → 58
Calls
1 calls:
48.0ms
(/ (- x y) (- 2.0 (+ x y)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify531.0ms

Counts
61 → 61
Iterations

Useful iterations: done (528.0ms)

IterNodesCost
0112990
1281951
21017907
done5000905

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
43.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))

series673.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
168.0ms
(cbrt (- x y))
149.0ms
(cbrt (- x y))
202.0ms
(cbrt (- x y))

simplify928.0ms

Counts
113 → 113
Iterations

Useful iterations: done (923.0ms)

IterNodesCost
01311384
12861281
29411223
done50001173

prune366.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt 2.0) (sqrt (+ x y)))
0.0b
(+ (sqrt 2.0) (sqrt (+ x y)))
0.1b
(/ (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (- (sqrt 2.0) (sqrt (+ x y))))
0.3b
(/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y))))

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
1032×*-un-lft-identity
720×times-frac
636×add-sqr-sqrt
552×sqrt-prod
286×distribute-lft-out
225×difference-of-squares
187×distribute-lft-out--
186×add-cube-cbrt
41×associate-/l*
26×associate-/r/
16×associate-/r*
13×flip3-+ flip-+ div-inv
11×add-exp-log add-cbrt-cube
8×add-log-exp
4×pow1 cbrt-undiv div-exp
3×flip3-- div-sub flip-- associate-/l/
2×frac-2neg clear-num
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 515
Calls
4 calls:
21.0ms
(- (sqrt 2.0) (sqrt (+ x y)))
35.0ms
(+ (sqrt 2.0) (sqrt (+ x y)))
172.0ms
(/ (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (- (sqrt 2.0) (sqrt (+ x y))))
68.0ms
(/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y))))

series15.6s

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (sqrt 2.0) (sqrt (+ x y)))
62.0ms
(+ (sqrt 2.0) (sqrt (+ x y)))
14.5s
(/ (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (- (sqrt 2.0) (sqrt (+ x y))))
901.0ms
(/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y))))

simplify793.0ms

Counts
527 → 527
Iterations

Useful iterations: done (763.0ms)

IterNodesCost
044218075
1121415567
done500015333

prune848.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

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
079
189
done89

end0.0ms

sample658.0ms

Algorithm
intervals
Results
374.0ms8000×body80valid