Details

Time bar (total: 9.0s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1179
2289
3419
4559
51179
63169
710559
839199
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

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:
60.0ms
(/ (- x y) (- 2.0 (+ x y)))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify541.0ms

Counts
61 → 61
Iterations

Useful iterations: done (538.0ms)

IterNodesCost
0112990
1281951
21017907
done5000905

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
24.4b
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
54×add-sqr-sqrt
41×times-frac
30×associate-*l*
29×add-cube-cbrt
20×difference-of-squares
12×pow1 add-exp-log add-cbrt-cube
9×associate-*r* distribute-lft-out distribute-lft-out--
8×flip3-+ flip-+
6×frac-times swap-sqr
5×associate-/l*
4×associate-*r/ associate-/r* associate-/r/
3×flip3-- associate-*l/ prod-exp flip-- cbrt-unprod add-log-exp unswap-sqr
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down *-commutative div-inv associate-/l/
1×pow2 frac-2neg pow-plus div-sub clear-num pow-sqr pow-prod-up
Counts
3 → 139
Calls
3 calls:
53.0ms
(* (+ x y) (+ x y))
163.0ms
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
43.0ms
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series250.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(* (+ x y) (+ x y))
110.0ms
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
117.0ms
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify519.0ms

Counts
148 → 148
Iterations

Useful iterations: done (511.0ms)

IterNodesCost
02313082
18732951
done50002725

prune411.0ms

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 (- x y))
0.0b
(sqrt (- x y))
0.1b
(/ (sqrt (- x y)) (/ (- 2.0 (+ x y)) (sqrt (- x y))))
0.2b
(/ (- 2.0 (+ x y)) (sqrt (- x y)))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
969×*-un-lft-identity
912×times-frac
728×add-sqr-sqrt
590×sqrt-prod
328×add-cube-cbrt
280×distribute-lft-out--
199×difference-of-squares
81×distribute-lft-out
62×associate-/r*
26×sqrt-div
21×associate-/r/
14×flip3-- flip-- associate-/l*
11×add-exp-log add-cbrt-cube div-inv
6×pow1
4×cbrt-undiv div-exp associate-/l/ add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×div-sub
Counts
4 → 624
Calls
4 calls:
11.0ms
(sqrt (- x y))
11.0ms
(sqrt (- x y))
74.0ms
(/ (sqrt (- x y)) (/ (- 2.0 (+ x y)) (sqrt (- x y))))
76.0ms
(/ (- 2.0 (+ x y)) (sqrt (- x y)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sqrt (- x y))
70.0ms
(sqrt (- x y))
53.0ms
(/ (sqrt (- x y)) (/ (- 2.0 (+ x y)) (sqrt (- x y))))
112.0ms
(/ (- 2.0 (+ x y)) (sqrt (- x y)))

simplify820.0ms

Counts
636 → 636
Iterations

Useful iterations: done (788.0ms)

IterNodesCost
051418130
1139016479
done500116135

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

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
079
189
done89

end0.0ms

sample758.0ms

Algorithm
intervals
Results
446.0ms7996×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid
0.0ms1×body320valid