Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
44	4883
43	4767
42	4627
41	4512
40	4370
39	4254
38	4114
37	3999
36	3857
35	3741
34	3601
33	3486
32	3344
31	3228
30	3088
29	2973
28	2831
27	2715
26	2575
25	2460
24	2318
23	2202
22	2062
21	1947
20	1805
19	1689
18	1549
17	1434
16	1292
15	1176
14	1036
13	926
12	792
11	680
10	550
9	445
8	302
7	199
6	118
5	65
4	50
3	39
2	27
1	17
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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-cbrt-cube` `add-exp-log`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 61

Calls

1 calls:

44.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify1.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5003
3	3399
2	792
1	290
0	115

prune185.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

1352×	`*-un-lft-identity`
946×	`times-frac`
843×	`add-sqr-sqrt`
576×	`prod-diff`
517×	`add-cube-cbrt`
335×	`distribute-lft-out--`
161×	`distribute-lft-out` `difference-of-squares`
106×	`associate-/r/`
54×	`flip3--` `flip--`
53×	`div-inv`
24×	`fma-neg`
12×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `distribute-rgt-out--` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 725

Calls

3 calls:

175.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
24.0ms	(/ y (- 2.0 (+ x y)))
32.0ms	(/ x (- 2.0 (+ x y)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
55.0ms	(/ y (- 2.0 (+ x y)))
50.0ms	(/ x (- 2.0 (+ x y)))

simplify2.0s

Counts

734 → 734

Iterations

Iter	Nodes
done	5000
2	3291
1	1343
0	583

prune2.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

14.7b	(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))
14.7b	(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))
14.7b	(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))
40.1b	(fma (- (+ 2.0 (+ x y))) (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (* (+ 2.0 (+ x y)) (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
31×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-/r*` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 119

Calls

4 calls:

12.0ms	(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))
19.0ms	(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))
14.0ms	(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))
0.0ms	(fma (- (+ 2.0 (+ x y))) (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (* (+ 2.0 (+ x y)) (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))))

series499.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))
103.0ms	(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))
127.0ms	(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))
182.0ms	(fma (- (+ 2.0 (+ x y))) (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (* (+ 2.0 (+ x y)) (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))))

simplify2.0s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
3	4099
2	766
1	227
0	102

prune740.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample737.0ms

Algorithm

intervals

Results

541.0ms	7998×	body	80	valid
1.0ms	2×	body	1280	valid