Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify1.8s

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

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` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

54.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify2.0s

Counts

63 → 63

Iterations

Iter	Nodes
done	5009
3	3410
2	791
1	289
0	114

prune228.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
0.0b	(/ (- x y) (- 2.0 (+ x y)))
0.4b	(expm1 (/ (- x y) (- 2.0 (+ x y))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
16×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`log1p-expm1-u`
3×	`expm1-log1p-u` `pow1` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-sub` `div-exp` `log1p-expm1` `div-inv` `expm1-udef`

Counts

3 → 82

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
63.0ms	(/ (- x y) (- 2.0 (+ x y)))
1.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

series336.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
66.0ms	(/ (- x y) (- 2.0 (+ x y)))
126.0ms	(expm1 (/ (- x y) (- 2.0 (+ x y))))

simplify2.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
3	3566
2	899
1	349
0	146

prune453.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0 (+ x y)) (- x y))
0.1b	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
258×	`times-frac`
214×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
83×	`distribute-lft-out--`
57×	`difference-of-squares`
41×	`associate-/r*`
26×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`div-sub` `pow-flip` `inv-pow`

Counts

2 → 230

Calls

2 calls:

53.0ms	(/ (- 2.0 (+ x y)) (- x y))
67.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series222.0ms

Counts

2 → 6

Calls

2 calls:

150.0ms	(/ (- 2.0 (+ x y)) (- x y))
72.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify1.8s

Counts

236 → 236

Iterations

Iter	Nodes
done	5001
2	1855
1	731
0	272

prune893.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (/ (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))) 1))
0.6b	(cbrt (- 2.0 (+ x y)))
0.6b	(cbrt (- 2.0 (+ x y)))
0.6b	(cbrt (- 2.0 (+ x y)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-exp-log`
33×	`times-frac`
29×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
22×	`div-exp`
18×	`cbrt-prod`
11×	`add-cbrt-cube` `1-exp`
7×	`associate-/r*`
6×	`cbrt-div` `prod-exp` `distribute-lft-out--`
5×	`pow1` `cbrt-undiv` `rec-exp` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out` `associate-/l*` `difference-of-squares`
1×	`clear-num` `frac-2neg` `associate-/r/` `cbrt-unprod` `pow-flip` `inv-pow`

Counts

4 → 118

Calls

4 calls:

104.0ms	(/ 1 (/ (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))) 1))
10.0ms	(cbrt (- 2.0 (+ x y)))
10.0ms	(cbrt (- 2.0 (+ x y)))
13.0ms	(cbrt (- 2.0 (+ x y)))

series976.0ms

Counts

4 → 12

Calls

4 calls:

509.0ms	(/ 1 (/ (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))) 1))
136.0ms	(cbrt (- 2.0 (+ x y)))
160.0ms	(cbrt (- 2.0 (+ x y)))
171.0ms	(cbrt (- 2.0 (+ x y)))

simplify2.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
3	2947
2	1048
1	455
0	200

prune841.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes168.0ms

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	10
1	10
0	9

end0.0ms

sample552.0ms

Algorithm

intervals

Results

369.0ms	7999×	body	80	valid
0.0ms	1×	body	160	valid